Answers
To find the slope, we must have two points
--> Two points: (-3,1) and (-1, -5)
The slope's formula is --> [tex]\frac{y2-y1}{x2-x1}[/tex]
(x1, y1) --> (-3,1)(x2, y2) --> (-1, -5)So the slope = [tex]\frac{-5-1}{-1--3} =\frac{-6}{2} =-3[/tex]
The line graphed below has a slope of -3
Hope that helped!
Related Questions
Find x
20x + 5 = 5x +65
Answers
Answer:
x=4
Step-by-step explanation:
20x-5x=65-5
15x=60
x=60/15
x=4
Answer:
x = 4Step-by-step explanation:
In the question we are given with an equation that is 20x + 5 = 5x + 65 . And we are asked to find the value of x.
Solution :
[tex] \longmapsto \: 20x + 5 = 5x +65[/tex]
Step 1 : Subtracting 5 on both sides :
[tex] \longmapsto \: 20x + \bold{ \cancel{5}} - \bold{ \cancel{5}}= 5x + \bold{65 }- \bold{5}[/tex]
On further calculations, we get :
[tex] \longmapsto \: 20x = 5x + 60[/tex]
Step 2 : Subtracting 60 on both sides :
[tex] \longmapsto \:20x - 60 = 5x + \bold{ \cancel{60}}- \bold{ \cancel{60}}[/tex]
On further calculations, we get :
[tex] \longmapsto \:20x - 60 = 5x[/tex]
Step 3 : Transposing 5x to left hand side and -60 to right hand side :
[tex] \longmapsto \:20x - 5x = 60[/tex]
On further calculations , we get :
[tex] \longmapsto \:15x = 60[/tex]
Step 4 : Divide by 15 on both sides :
[tex] \longmapsto \: \frac{ \cancel{15}x}{ \cancel{15} } = \cancel{ \frac{60}{15} }[/tex]
On further calculations, we get :
[tex] \longmapsto \: \red{ \boxed{x = 4}}[/tex]
Therefore , value of x is 4 .Now, we are verifying our answer by substituting value of x in given equation :
20x + 5 = 5x + 6520 ( 4 ) + 5 = 5 ( 4 ) + 6580 + 5 = 20 + 6585 = 85L.H.S = R.H.SHence, Verified .Therefore , our answer is correct
#Keep LearningOscar buys his lunch in the school cafeteria. The cost of 15 school lunches is $33.75.
Part 1: If you had to find a graph to represent this rate, would slope would you be looking for?
Part 2: Using the rate you determined, complete this ordered pair: (5, ________)
Answers
Answer:
Part 1: 2.25
Part 2: (5, 11.25)
Step-by-step explanation:
Part 1: 33.75/15= 2.25
Part 2: 5*2.25= 11.25
find the value of x
16
65
25
108
Answers
Answer: 16
Step-by-step explanation:
Factor 25x^2-64
(5x+8)(5x-8)
(5x-8)^2
(5x+8)(-5x-8)
(-5x+8)(5x-8)
Answers
Answer:
Given Equation
[tex] \bf \: 25 {x}^{2} - 64[/tex]
we have to factorise the given equation .
We will use the following identity here
(a²- b²) = (a + b) ( a - b)Let's factorise it
[tex]\sf \longrightarrow \: 25 {x}^{2} - 64 \\ \\ \\ \sf \longrightarrow \: {5x}^{2} - {8}^{2} \\ \\ \\ \sf \longrightarrow \:(5x + 8)(5x - 8)[/tex]
Therefore,
Required answer is ( 5x+8)(5x-8)So, your answer is (5x+8) ( 5x-8)
Which is the graph of g(x) = (0.5)x + 3 – 4?
On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at (0, negative 4).
On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 3. It crosses the y-axis at (0, 3).
On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = negative 4. It crosses the y-axis at (0, 4).
On a coordinate plane, an exponential function decreases in quadrant 2 and has a horizontal asymptote at y = 4. It crosses the y-axis at (0, 12).
Mark this and return
Answers
Answer:
the graph will be an exponential function that crosses the y-axis at about (0, -4).
Step-by-step explanation:
Answer:
The answer is the first graph.
Step-by-step explanation:
I just did the quiz
Charlotte is redecorating the master bedroom in her house. She has purchased a new bedroom set and also plans to paint the room and put in new flooring. The room is rectangular, with dimensions of 16 feet (length) by 13 feet (width). The walls in the room are 9 feet tall, and the room contains two doors and two windows. Charlotte has decided to put new carpet in the bedroom. The carpet she chose costs $1.85 per square foot, not including the cost of labor or other related materials. She was given the following information by the local flooring store where she is purchasing the carpet. She is required to purchase a piece of carpet which includes a 3-inch overlap on all sides. Labor and material costs will relate to the area of this piece. The labor costs are $23 per hour, per person. A two-person carpet crew can lay 50 square feet of carpet each hour. The crew that will complete the job at Charlotte's house will be a four-person crew. There is an additional $75 fee to cover the cost of equipment, materials, and supplies. What are the dimensions of the piece of carpet that Charlotte must purchase? Note: Express your answer as a decimal number and do not round.
Answers
Answer: 2.23 hours
Step-by-step explanation:
dimensions of the room------------------- >16*13
1 in---------------- >0.0833333 foot
3 in----------------- >x
x=3*.0833333=0.25 ft
Let
C-------------- > dimensions of the piece of carpet that Charlotte must purchase
C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft²
The answer a the question 1) is 16.50 feet X 13.50 feet
The answer a the question 2) is 222.75 ft²
3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?
if two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour
four person carpet crew can lay 100 square feet of carpet---------- > 1 hour
therefore
if 100 ft² carpet----------------------- > 1 hour
222.75 ft² carpet--------------------- > x
x=222.75/100=2.2275 hours=2.23 hours
The answer is 2.23 hours
Martín quiere poner una manguera color neón alrededor del helado que está afuera de su nevería para llamar la atención de sus clientes. Considerando las dimensiones del helado como se muestra en la figura, ¿Cuál es la longitud en centímetros de manguera que se requiere para rodear el helado? *
area 80 cm
longuitud 89. 44cm
215. 04 cm
295. 04 cm
304. 48 cm
384. 48 cm
Answers
La manguera que necesita Martín para rodear el helado es de 304,48m
Cómo calcular la longitud de la manguera que necesita Martín?Para calcular la longitud de la manguera que necesita Martín para rodear el helado es necesario aplicar la siguiente fórmula matemática:
Longitud de la manguera = π × r + 2 × LLongitud de la manguera = 3,14 × 40 + 2 × 89,44 Longitud de la manguera = 125,6 + 178,88Longitud de la manguera = 304, 48 mDe acuerdo a lo anterior, la longitud de la manguera que necesita Martín es de 304,48m.
Aprenda más sobre longitud en: https://brainly.com/question/25986613
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С
2 ft.
4 ft.
What is the perimeter? If necessary, round to the nearest tenth.
Answers
Answer:
10.47 to the nearest hundredth
Step-by-step explanation:
By Pythagoras
c^2 = 2^2 + 4^2 = 20
c = √20
c = 4.47
Perimeter = 2 + 4 + 4.472
The perimeter of the right-angled triangle is 6 + 2√(5) feet.
What is Pythagoras' theorem?Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.
Given that a right-angled triangle.
The perpendicular length is 2 feet, the base length is 4 feet.
We need to use the Pythagorean theorem to find the length of the hypotenuse, and then add up the lengths of all three sides to get the perimeter.
In this case, we can use it to find the length of the hypotenuse c:
2² + 4² = c²
4 + 16 = c²
20 = c²
c = √(20) = 2√(5)
Now we can add up the lengths of all three sides to get the perimeter:
Perimeter = a + b + c
Perimeter = 2 + 4 + 2√(5)
Perimeter = 6 + 2√(5) feet
Therefore, the perimeter = 6 + 2√(5) feet
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
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Matt is given a jar with eight marbles, six of which are red and two of which are green. Matt then randomly draws marbles without replacement. If he selects a red marble, he puts it in the first box; similarly, he continues to place all red marbles he selects into the first box until a green marble is chosen. When a green marble is chosen, he puts the first box aside. He then selects and places red marbles in the second box until the second green marble is chosen. When the second green marble is selected, he will put the second box aside and place all remaining red marbled in a third box. After all marbles are drawn, what is the probability that each box contains two red marbles? Express your answer as a common fraction.
Answers
Answer:
as a percentage it is: 0.25 x 0.2 =0.05 or 5%
but as a common fraction it is: 5/100 or 1/20
Step-by-step explanation:
Which is the best estimate of the capacity of a bathtub? A. 5 milliliters B. 50 milliliters c. 5 liters D. 50 liters
Answers
Answer:
D 50 liters
Step-by-step explanation:
mL is really small amount so it not A or B. 5 L is like 5 bottles which wont fill it up much so lets take out C. the answer left out is D 50 L which is the answer
An equilateral triangle with side length 19 cm is shown in the diagram, work out the height of the triangle. Give your answer rounded to 1 DP. The diagram is not drawn accurately.
Answers
Answer:
h = 16.5
Step-by-step explanation:
Remark
The formula below really is the Pytharagan formula disguised.
h^2 = hypotenuse (side)^2 - (1/2 side)^2
Givens
side = 19 cm
Solution
h^2 = 19^2 - (1/2*19)^2 Substitute given into formula
h^2 = 361 - (9.5)^2 square 9.5
h^2 = 361 - 90.25 Subtract
h^2 = 270.75 Take the square root of both sides
√h^2 = √270.75
Answer: h = 16.5
Factorise this expression as fully as possible 12x3 - 9x?
please help
Answers
Answer:
12x3-9x
=3-12x9x
=3-21x
=21x-3
helpp Its for calculus
Answers
Answer:
its 18
Step-by-step explanation:
Answer:
the answer is 18
Step-by-step explanation:
please help :)))))))
Answers
Answer:
Step-by-step explanation:
What polynomial has quotient x2 + 6x – 4 when divided by x + 3?
Answers
Answer:
[tex](x^{3} + 9\, x^{2} + 14\, x - 12)[/tex].
Step-by-step explanation:
Let [tex]p(x)[/tex] denote the polynomial in question.
The question states that dividing [tex]p(x)[/tex] by [tex](x + 3)[/tex] gives the quotient [tex](x^{2} + 6\, x - 4)[/tex] (with no remainder.) In other words:
[tex]\displaystyle \frac{p(x)}{x + 3} = x^{2} + 6\, x - 4[/tex].
Multiply both sides by [tex](x + 3)[/tex] to find an expression for the polynomial in question, [tex]p(x)[/tex]:
[tex]p(x) = (x^{2} + 6\, x - 4)\, (x + 3)[/tex].
Expand this expression to obtain:
[tex]\begin{aligned}p(x) &= (x^{2} + 6\, x - 4) \, (x + 3) \\ &= x\, (x^{2} + 6\, x - 4) \\ & \quad + 3\, (x^{2} + 6\, x - 4) \\ &= x^{3} + 6\, x^{2} - 4\, x \\ &\quad + 3\, x^{2} + 18\, x - 12 \\ &= x^{3} + 9\, x^{2} + 14\, x - 12\end{aligned}[/tex].
Please help with both precalc questions! 2 dif problems
Answers
Answer:
Step-by-step explanation:
For the first problem you have:
[tex]sin^2(x)-sin(x)=0[/tex]
Factor out a sin(x) to get:
[tex]sin(x)[2sin(x)-1]=0[/tex]
Individually, set both terms equal to zero:
[tex]sin(x)=0[/tex]
[tex]2sin(x)-1-0[/tex]
The first equation is asking "sine of what angle gives zero?" The sine of 0 will give zero, and so will the sine of pi, and 2pi, etc. Therefore, you can generalize this by saying the solution is pi multiplied by an integer 'n' where 'n' can be from zero to infinity:
[tex]x=n\pi[/tex]
where n = 0, 1, 2, 3, 4, 5, etc..
(make sure you specify that 'n' can equal zero.)
For the second equation, add 1 to both sides to get:
[tex]2sin(x)=1[/tex]
Divide both sides by 2 to get:
[tex]sin(x)=\frac{1}{2}[/tex]
Sine of what gives 1/2? Sine of pi/6 gives 1/2, and so does 5pi/6. Therefore, the two solution here would be pi/6 plus a phase shift of 2pi, and 5pi/6 plus a phase shift of 2pi:
[tex]x=\frac{\pi }{6} +2n\pi[/tex]
[tex]x=\frac{5\pi }{6} +2n\pi[/tex]
The second problem states that:
[tex]cos(u)=\frac{4}{5}[/tex]
Cosine is defined as the adjacent side of a right triangle divided by the hypotenuse of the right triangle:
[tex]cos(u)=adjacent/hypotenuse[/tex]
After drawing a triangle, the adjacent side is 4, and the hypotenuse is 5. But first, lets rewrite sin(2u) using the double angle identity to get:
[tex]sin(2u)=2sin(u)cos(u)[/tex]
But we know the value of cosine of 'u', it is 4/5. Therefore:
[tex]sin(2u)=2sin(u)*\frac{4}{5}[/tex]
[tex]sin(2u)=\frac{8}{5} sin(u)[/tex]
To find the sine of 'u', use the triangle you should have constructed when I defined cosine as the adjacent over the hypoptenuse. Sine is defined as the opposite over the hypotenuse. We have:
[tex]sin(u)=opposite/hypotenuse[/tex]
We have the adjacent, we have the hyppotenuse, and we want the opposite. If we find the opposite side, we can find the sin(2u). Use pythagogrean's theorem to find the opposite:
[tex]adjacent^2+opposite^2=hypotenuse^2[/tex]
[tex]4^2+opposite^2=5^2[/tex]
[tex]opposite^2=25-16[/tex]
[tex]opposite=3[/tex]
Finally, we have that:
[tex]sin(u)=\frac{3}{5}[/tex]
Or:
[tex]sin(2u)=\frac{8}{5}*\frac{3}{5} =24/25[/tex]
Hopefully you could follow along. There is a lot going on here, but since youre in pre-calc, you should be able to follow along as long as you follow my steps.
The length of time that the girls ran was 20 percent greater than the length of time the boys ran.If the girls ran for 48 hours, how long did the boys run
Answers
48/6=0.2x=8
8x5=x=40
the boys ran for 40 hours
The volume of a sphere is 29307 cubic centimeters. What is the radius of the sphere?
Round to the nearest whole number.
Answers
Answer:
19 cubic centimeters
Step-by-step explanation:
The equation for the volume of a sphere is [tex](4/3)\pi r^3[/tex].
We can setup the equation as [tex]29307 = \frac{4}{3}\pi r^3[/tex].
Now we need to isolate the r^3. Divide both sides by 4/3 and pi, which leaves [tex]\frac{29307}{(4/3) \pi } =r^3[/tex]
Now we take the cube root of both sides to have a single r on the right side. This comes out to equal 19 cm^3
can someone please help me with this
Answers
Answer:
(D) 29.3
Step-by-step explanation:
The answer is all the days added together and then divided by 10.
20+30+40+38+25+22+39+22+26+31=293.
293/10=29.3
Help And thx ................................... MATH
Answers
[tex]4 > -(-4)-4\\4 > 4-4\\4 > 0[/tex]Answer:
Step-by-step explanation:
just substitute the coordinates into the inequality and solve it.
[tex](-4) > -(-4)-4\\-4 > 4-4\\-4 > 0[/tex]This is false, therefore, (-4,-4) is incorrect
[tex]0 > -(-4)-4\\0 > 4-4\\0 > 0[/tex]0 cannot be greater than 0, therfore (-4,0) is incorrect
[tex]-4 > -(0)-4\\-4 > -4[/tex]-4 cannot be greater than -4, therefore (0,-4) is incorrect
[tex]4 > -(-4)-4\\4 > 4-4\\4 > 0[/tex]4 is greater than 0 and therefore, (-4,4) is the correct answer
Alternatively, you can draw a graph of the inequality, by considering [tex]y=-x-4[/tex], drawing its graph, and substitute a point that's not on the line, for example, (0,0), to find the region the inequality is in. If the coordinate you substituted in solves the inequality, then the region you choose is the one that the point you substituted in lies in. If the inequality is incorrect, its the other region on the other side of the graph. Once that's done, you can observe if any of the coordinates listed in the question correspond correctly to the relative regions on the graph, and thus choose the correct answer from there.
cheers
How many solutions are there to this nonlinear system
Answers
Answer:
well its two
Step-by-step explanation:
but A nonlinear system could be representative of two circles that overlap and intersect in two locations, hence two solutions. A nonlinear system could be representative of a parabola and a circle, where the vertex of the parabola meets the circle and the branches also intersect the circle, hence three solutions.
Find the lateral area and surface area of a cone with an altitude of 5 feet and a slant height of 9 and 1/2 feet. Round to the nearest tenth, if necessary.
Answers
Check the picture below.
we know the LA is 9 and 1/2 or namely 19/2 and the height is 5, so
[tex]\stackrel{slant~height}{\cfrac{19}{2}}~~ = ~~\stackrel{slant~height}{\sqrt{r^2+h^2}}\implies \left( \cfrac{19}{2} \right)^2~~ = ~~r^2+5^2\implies \cfrac{361}{4}~~ = ~~r^2+25 \\\\\\ \cfrac{361}{4} - 25~~ = ~~r^2\implies \cfrac{261}{4}=r^2\implies \sqrt{\cfrac{261}{4}}=r\implies \boxed{\cfrac{3\sqrt{29}}{2}=r} \\\\[-0.35em] ~\dotfill\\\\ LA=\pi r\stackrel{slant~height}{\sqrt{r^2+h^2}}\implies LA=\pi \left( \cfrac{3\sqrt{29}}{2} \right)\cfrac{19}{2}\implies \boxed{LA=\cfrac{57\pi \sqrt{29}}{4}}[/tex]
[tex]~\dotfill\\\\ SA=\pi r\sqrt{r^2+h^2}~~ + ~~\pi r^2\implies SA=LA~~ + ~~\pi r^2 \\\\\\ SA=\cfrac{57\pi \sqrt{29}}{4}~~ + ~~\cfrac{3\pi \sqrt{29}}{2}\implies \boxed{SA=\cfrac{63\pi \sqrt{29}}{4}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill LA\approx 241.1\qquad SA\approx 266.5~\hfill[/tex]
Jaxson bought a pair of sunglasses online for $71. He used a coupon code to get a 20% discount. The website also applied a 5% processing fee to the price after the discount. How much was the discount, in dollars and cents?
Answers
Answer:
$17.75
Step-by-step explanation:
$71-($71×20%)
$71-$14.2
=$56.8
after coupon code
$56.8-($56.8×5%)
=$56.8-$2.84
=$53.96 about .
then applied a 5% processing fee online.
0=x^2+2x-11 solve by completing the square
Answers
Answer:
Below in bold.
Step-by-step explanation:
x^2 + 2x- 11 = 0
x^2 + 2x = 11
x^2 + 2x + 1 = 11 + 1
(x + 1)^2 = 12
x + 1 = ±√ 12
x = -1 ± √12
= -4.464, 2.464 to the nearest thousandth.
Find the volume of the following. Show your work
Answers
Answer:
length * width * height = volume
10 * 2 * 5.5 = 110 cubed inches
what is 5 2/3 x 13? I'm not really good with fractions
Answers
Answer:
The answer is 221/2 or 73 ⅔
Step-by-step explanation:
5 ⅔ = (3 × 5 + 2) ÷ 3 = 17/3
Now,
17/3 × 13 = 221/2 = 73 ⅔
Thus, The answer is 221/2 or 73 ⅔
in a cyclic quadrilateral ABRS, if AR=BS, prove that AS=RB and AB is parallel to SR
Answers
arc. BRS-arc. SR=arcade-arc. SR(removing SR in both side)
arc. AS=arc. BR
AS=BR(arc. AS=arc. BR)
AB//SR(same reason)
What property is illustrated in the following statement? If DF= FG and FG=GH, then DF=GH. pls help
Answers
Answer:
Its a parallelogram
Step-by-step explanation:
Since there are 4 points we know it has to be a 4 sided shape. Since 3 out of the four sides are equal, then we know that this shape has to be a parallelogram so it has at least one pair of parallel lines.
can someone please help me with this question
Answers
Answer:
C. Students in language arts classes.
Step-by-step explanation:
Because out of all of the options, this one seems like it is the best time that they could get the students attention and get an acurate response.
Select the correct answer.
ΔABC is reflected across the x-axis and then translated 4 units up to create ΔA′B′C′. What are the coordinates of the vertices of ΔA′B′C′ ?
A.
A′(-3, 3), B′(-1, 1), C′(-2, 3)
B.
A′(3, -3), B′(1, -1), C′(2, -3)
C.
A′(3, -5), B′(1, -7), C′(3, -5)
D.
A′(-3, 3), B′(-1, 1), C′(-2, -3)
Answers
Answer:
The correct to the question about is simply C. A is ruled out because it doesn't represent refections
