what is the slope of the line that passes through (4,-9) and
(1,3)?
Answer:
slope = - 4
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 9 ) and (x₂, y₂ ) = 1, 3 )
m = [tex]\frac{3-(-9)}{1-4}[/tex] = [tex]\frac{3+9}{-3}[/tex] = [tex]\frac{12}{-3}[/tex] = - 4
Answer:
[tex]m=-4[/tex]; the slope is -4
Step-by-step explanation:
[tex]slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}[/tex]
coordinates: (4,-9) (1,3)
[tex]\frac{3-(-9)}{1-4}=\frac{-12}{-3} =-4[/tex]
= -4 is your answer
hope this helped
~rere
please help meeeeeeeeeeeeeeeeeeeee
the lengths of the side of a triangle are 8,10,12 is the triangle acute, right, or obtuse?
Answer:
acute triangle
Step-by-step explanation:
because (12)^2 = 144 while [tex]8^{2}[/tex] + [tex]10^{2}[/tex] = 164 which means the sum of it's smaller angles are greater than it's greatest angle so it's an acute triangle
Answer:
take the two smaller sides, call them a and b. call the longest side c.
if a^2 + b2 = c^2 you have a right triangle
if < c^2 it's acute
if > c^2 it's obtuse
in addition, if you can find a,b,c such that
a=b=c it's equilateral
a=b≠c it's isosceles
a≠b≠c it's scalene
plug in your numbers and make your choice.
Step-by-step explanation:
y = -6x+2
-12x-2y = -4
How many solutions does this linear system have?
O one solution: (0, 0)
O one solution: (1,-4)
Ono solution
O infinite number of solutions
Answer:
infinite number of solutions
Step-by-step explanation:
Given equations:
y = -6x+2-12x - 2y = -4Rearrange the second equation to make y the subject:
⇒ -12x - 2y = -4
⇒ -12x - 2y + 2y = -4 + 2y
⇒ -12x = -4 + 2y
⇒ -12x + 4 = -4 + 2y + 4
⇒ -12x + 4 = 2y
⇒ (-12x + 4) ÷ 2 = 2y ÷ 2
⇒ y = -6x + 2
Comparing the rearranged equation with the first equation, we can see that both equations are the same.
Therefore, as there is only one line, there are an infinite number of solutions.
please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today. Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.
Jackie randomly picks some clothes.
What is the probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt?
Answer:
2/9
Step-by-step explanation:
i just took a test with this exact question, and the answer was 2/9
youre welcome future learners ;)
please help i have no idea what to do
Answer: D) 80 degrees
Step-by-step explanation:
samantha got home after school and found a package sitting on the front porch she carried 20N package upstairs her stair are 10m tall how much work did she do (need to show solution)
Answer:
Zero
Step-by-step explanation:
Work done in the vertical direction is 0 because no displacement can be taken. Hence, the correct answer to this problem is zero
what is 722 divided by 9
Answer: Heyaa! ~
772 divided by 9 is... 80.2
Step-by-step explanation:
Lets solve! ~
Reduce the expression if possible by cancelling the common factors.Hopefully this helps you! ^^
please help with this
Answer:
F = 53.1°
Step-by-step explanation:
When you consider F as your angle
cos F = adjacent / hypotaneous
or, cos F = EF/DF
We do not have DF right now,
so DF² = DE² + EF²
DF = √ (12² + 9²)
DF = 15
cos F = adjacent / hypotaneous
or, cos F = EF/DF
cos F = 9 / 15
F = cos ⁻¹ (9/15)
F = 53.1°
What fraction is 380 lb of 400 lb?
Answer:
19/20
Step-by-step explanation:
380÷ 20= 19
400÷20= 20
Please help me find the value of x
Check the picture below.
Which function rule represents the best line of fit for the data in the plot?
Answer:
f(x) = -1/2x + 8
or
The first one
Step-by-step explanation:
hope this helps
have a good day
What multiplies to 14 and adds to 15
14 and 15
to find:which number multiplies to 14 and add up to 15.
solution:[tex]1 + 14 = 15[/tex]
[tex]1 \times 14 = 14[/tex]
[tex] = 1[/tex]
therefore, the number which multiplies to 14 and add up to 15 is 1
= 1
because,
14×1 = 14
14+1= 15
Given that a randomly chosen customer likes cake, what is the probability that the customer also likes pie? two-sevenths two-fifths four-sevenths four-fifths
Using it's concept, it is found that the probability that the customer also likes pie is of [tex]\frac{2}{7}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that of the 14 students that like cake, 4 also like pie, hence the probability is given by:
p = 4/14 = 2/7.
More can be learned about probabilities at https://brainly.com/question/14398287
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Answer:
it's a i think
Step-by-step explanation:
The pirate captain ordered his men to dig
For treasure. Six men dug, one at a time, im
qual shifts for a total of three and a half
hours. How long was each man's shift?
Asap help
15. If m arc BY = 40 degrees, what is m angle YAC? the figure is not drawn to scale.
Using the tangent theorem and the inscribed angle theorem, the measure of angle YAC in the figure is: 70°.
What is the Tangent Theorem?The angle formed at the point of tangency of the radius and the tangent equals 90 degrees based on the tangent theorem.
What is the Inscribed Angle Theorem?According to the inscribed angle theorem, an inscribed angle equals the measure of the arc intercepted.
m∠BAY = 1/2(40) [inscribed angle theorem]
m∠BAY = 20°
m∠BAC = 90° [tangent theorem]
m∠YAC = 90 - 20
m∠YAC = 70°
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how to do a reflection on the line y=-x
change (x,y) -> (-y,-x)
Sandy made several investments. She bought 1000 shares of a company’s stock for $8.60/share, she bought a bond with a face value of $2500 and a coupon rate of 7%, and she invested $5000 into a fund that is expected to grow by 3.5% per year.
The bond Sandy purchased will mature in 10 years. How much interest will she receive semiannually?
How long will it take the fund she invested in to be worth $10,000?
Detemine which equation has the same solutions as the equation below.
4X² + 32X - 28 = 0
A. (X+4)²=23
B. 4(X+4)²=36
C. (X+8)²=57
D. 4(X+8)²=28
The answer is B i hopes this helps
The phythagorean spiral is a spiral composed of right angles triangle. Using the information provided on the spiral calculate p
The right angle triangle has an angle that is 90° while the other angles makes up 90° too.
What is a right angle triangle?Your information is incomplete. Therefore, an overview of right angle triangle will be given. It should be noted that a right angle triangle simply means a triangle that has aright angle which is 90°.
The hypothenuse is the longest side in a right angle triangle which is the side facing the 90°.
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Helppppppp meeeeeee pleaseeeeee
Answer:
6 meters × 4 meters = 24 square meters
Step-by-step explanation:
to find the area of a rectangle you do the length times the width
the length is 6m and the width is 4m so you times them together which gives you 24m²
Which equation could be solved using this application of the quadratic formula? a. -2x2 − 8 = 10x − 3 b. 3x2 − 8x − 10 = 4 c. 3x2 8x − 10 = -8 d. -2x2 8x − 3 = 4
The equation that can be solved when the given quadratic formula is used is c. 3x² + 8x − 10 = -8.
How can we use quadratic equations?The given quadratic equation is:
x = (-8 ± √(8² - 4(3)(-2))) / 2 (3)
Rewriting the quadratic equation in option C gives:
3x² + 8x − 2 = 0
Seeing as a quadratic equation takes the form:
x = (-b ± √(b² - 4(a)(c))) / 2 (a)
The formula becomes:
x = (-8 ± √(8² - 4(3)(-2))) / 2 (3) which is the given quadratic formula.
In conclusion, option C is correct.
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2.4 divided by 0.24 pllss help
Answer:
your answer is 10 Goodluck
Two men walk at rates of 6 miles per hour and 10 miles per hour, respectively. Simultaneously, they started from the same place walking in opposite directions. In how many hours will they be 200 miles apart?
The time taken by the two men will be equal to 26 hours
What is speed?The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
here two men are walking at different speeds like
v₁=6 miles per hour
v₂=10 miles per hour
The time taken by them to separated by the distance of 100 miles each so that both of them separated by the distance of 200 miles.
t₁= {100}/{6}=16.66 hours
t₂= {100}/{10}=10 hours
total time taken will be
t₁+t₂=16.66+10=26.66 hours
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Which graph represents the solution of (y+2)²/4 + (x-3)²/9 <1 and y ≤√x-1-4?
Answer:
y²+x-7=-x+37
Step-by-step explanation:
im a pickle morty its the funniest thing ive ever experienced
Answer:
A
Step-by-step explanation:
Which are differences of perfect cubes? select two options. 9a3- 27 125a12 - 72 216a6 - 27y3 8a15 - 27 225a3 - 216
The expressions that are differences of perfect cubes from the options given are:
c. 216a⁶ - 27y³
d. 8a¹⁵ - 27
What is a Perfect Cube?A perfect cube can be described as a number that is gotten when an integer is multiplied by itself three times.
216a⁶ - 27y³ is a difference of perfect cubes because: (6a²)³ - (3y)³.
So also is the expression, 8a¹⁵ - 27.
The difference of perfect cubes are:
c. 216a⁶ - 27y³
d. 8a¹⁵ - 27
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Answer:
C 216a6 - 27y3
D 216a6 - 27y3
Step-by-step explanation:
I took the test on edge. :)
What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x−y=1?
2x^3-x^2-3x=210
the answer is 5 but I want to know why.
Answer:
[tex]x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]
Step-by-step explanation:
1) Move all terms to one side.
[tex]2x^{3} -x^{2} -3x-210=0[/tex]
2) Factor [tex]2{x}^{3}-{x}^{2}-3x-210[/tex] using Polynomial Division.
1 - Factor the following.
[tex]2x^{3} -x^{2} -3x-210[/tex]
2 - First, find all factors of the constant term 210.
[tex]1,2,3,4,5,6,7,10,14,15,21,30,35,42,70,105,210[/tex]
3) Try each factor above using the Remainder Theorem.
Substitute 1 into x. Since the result is not 0, x-1 is not a factor..
[tex]2*1^{3} -1^{2} -3*1-210=-212[/tex]
Substitute -1 into x. Since the result is not 0, x+1 is not a factor..
[tex]2(-1)^{3} -(-1)^{2} -3*-1-210=-210[/tex]
Substitute 2 into x. Since the result is not 0, x-2 is not a factor..
[tex]2*2^{3} -2^{2} -3*2-210=-204[/tex]
Substitute -2 into x. Since the result is not 0, x+2 is not a factor..
[tex]2{(-2)}^{3}-{(-2)}^{2}-3\times -2-210 = -224[/tex]
Substitute 3 into x. Since the result is not 0, x-3 is not a factor..
[tex]2\times {3}^{3}-{3}^{2}-3\times 3-210 = -174[/tex]
Substitute -3 into x. Since the result is not 0, x+3 is not a factor..
[tex]2{(-3)}^{3}-{(-3)}^{2}-3\times -3-210 = -264[/tex]
Substitute 5 into x. Since the result is 0, x-5 is a factor..
[tex]2\times {5}^{3}-{5}^{2}-3\times 5-210 =0[/tex]
------------------------------------------------------------------------------------------
⇒ [tex]x-5[/tex]
4) Polynomial Division: Divide [tex]2{x}^{3}-{x}^{2}-3x-210[/tex] by [tex]x-5[/tex].
[tex]2x^{2}[/tex] [tex]9x[/tex] [tex]42[/tex]
-------------------------------------------------------------------------
[tex]x-5[/tex] | [tex]2x^{3}[/tex] [tex]-x^{2}[/tex] [tex]-3x[/tex] [tex]-210[/tex]
[tex]2x^{3}[/tex] [tex]-10x^{2}[/tex]
-----------------------------------------------------------------------
[tex]9x^{2}[/tex] [tex]-3x[/tex] [tex]-210[/tex]
--------------------------------------------------------------------------
[tex]42x[/tex] [tex]-210[/tex]
[tex]42x[/tex] [tex]-210[/tex]
-------------------------------------------------------------------------
5) Rewrite the expression using the above.
[tex]2x^2+9x+42[/tex]
[tex](2x^2+9x+42)(x-5)=0[/tex]
3) Solve for [tex]x.[/tex]
[tex]x=5[/tex]
4) Use the Quadratic Formula.
1 - In general, given [tex]a{x}^{2}+bx+c=0[/tex] , there exists two solutions where:
[tex]x=\frac{-b+\sqrt{b^{2} -4ac} }{2a} ,\frac{-b-\sqrt{b^2-4ac} }{2a}[/tex]
2 - In this case, [tex]a=2,b=9[/tex] and [tex]c = 42.[/tex]
[tex]x=\frac{-9+\sqrt{9^2*-4*2*42} }{2*2} ,\frac{-9-\sqrt{9^2-4*2*42} }{2*2}[/tex]
3 - Simplify.
[tex]x=\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]
5) Collect all solutions from the previous steps.
[tex]x=5,\frac{-9+\sqrt{255}i }{4} ,\frac{-9-\sqrt{255}i }{4}[/tex]
I need help, please and thank you
Answer:
It's -3.125
Step-by-step explanation:
1/8 in decimal is 0.125
the 3 is a whole number so just put it in front.
Remember it's a negative, so you get:
-3.125
Answer:
-3.125
Step-by-step explanation:
- Multiply 3 and 8 to get 24. [tex]-\frac{24+1}{8}[/tex]
- Add 24 and 1 to get 25. [tex]-\frac{25}{8}[/tex]
- Turn [tex]-\frac{25}{8}[/tex] into a decimal to get -3.125
