Answer:
x = 7
y = -49
Step-by-step explanation:
Solving system of equation by substitution method.y = -6x - 7 ---------------(I)
y = -7x -------------------(II)
Substitute y = -7x in equation (I)
-7x = -6x - 7
-7x + 6x = -7
-x = -7
Multiply both sides by (-1)
[tex]\sf \boxed{\bf x = 7}[/tex]
Substitute x =7 in equation (II)
y = -7*7
[tex]\sf \boxed{\bf y = -49}[/tex]
Answer:
X = 7 Y = -49
Step-by-step explanation:
Y= -6 X -7---------(1)
Y= -7 X ------------(2)
using substitution method, substitute equation two into equation one-7 X = -6X -7
-7 X+6X = -7
- X = -7
cancelling the - sign on bothsides
X = 7
put X = 7 into equation (2)
Y = -7(7)
Y = -49
therefore, X = 7 Y= -49
If x-1/-3=y-2/2k=z-3/2 and x-1/3k=y-5/4=z-6/-5 are perpendicular, find the value of k
Find AC.
brainly is forcing me to make this longer but its just that
Answer:
24.49 units
Step-by-step explanation:
It si NOT a right triangle, so you'll have to use law of sines
angle C = 180 - 45-75 = 60 degrees
30 / sin60 = AC / sin 45
AC = 30 * sin 45 / sin 60 = 24.49 units
1. Find the value of x in this figure.
Answer:
x = 30º
Step-by-step explanation:
Let's call the midpoint of OP, R.
The triangle of OQR would be an equilateral triangle since OQ = OR as they are both radii and is OQR and ORQ are 60º, ROQ is also 60º, making the triangle equilateral. Because tangents meet a circle at 90º, the angle RQP would be 30º and since angles on a straight line add to 180º, the angle QRP would be 180-ORQ which is 120º. Now we know the 2 angles in triangle of QRP so we can work out the final angle since angles in a triangle add to 180º. So:
180 - 120 - 30 = 30º.
x = 30º
This would also prove that QR and RP are the same since base angles in an isosceles triangle are equal.
Find the distance between the two points. Round to the nearest tenth if necessary.
(1,5), (5,2)
A. 2.6
B. 1
C. 5
Answer:
d =5
Step-by-step explanation:
d = [tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
at (1,5), (5,2)
d= [tex]\sqrt{(5-1)^2 +(2-5)^2}[/tex]
[tex]d = \sqrt{16 + 9} \\d=\sqrt{25}\\ d =5[/tex]
Therefore 5 is the distance.
Answer:
C
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (1, 5 ) and (x₂, y₂ ) = (5, 2 )
d = [tex]\sqrt{(5-1)^2+(2-5)^2}[/tex]
= [tex]\sqrt{4^2+(-3)^2}[/tex]
= [tex]\sqrt{16+9}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
Determine the distance between the points plotted on the graph. Round to the nearest tenth, if necessary.
Answer:
d= 4[tex]\sqrt{2}[/tex] or 5.66
Step-by-step explanation:
(-2,7) and (2,3)
d = [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]
d= [tex]\sqrt{(2-(-2))^{2} + (3-7)^{2} }[/tex]
d = [tex]\sqrt{16 + 16}[/tex]
d= 4[tex]\sqrt{2}[/tex] or 5.66
(a) Find the area of the shaded region in the figure below. (Take a = 3.14)
4 m
5 m
12 m
[31
(6)
(11)
(c)
14 m
TH
6m: fom
Ilm
*
- 7 m
5 m
th
The figure shows the plan of a room. Find the
(i)
perimeter of the whole room
area of the whole room
[3]
8
[2]
6
/13 cm 2
3
5
4
The diagram shows a circle of radius 13cm being divided into S equal sectors. Find
the
(i)
(1)
Area of the circle,
Total area of the sectors 1 , 3, 5 and 7
[Take 3.14]
Step-by-step explanation:
Firstly find the area if the parallelogram which is
=length of the base × vertical height
=
[tex]12m \times 5m[/tex]
=
[tex]60 {m}^{2} [/tex]
Now solve for the area of the circle
=
[tex]\pi {r}^{2} [/tex]
RADIUS = DIAMETER ÷2
[tex] \frac{4m}{2} [/tex]
=
[tex]2m[/tex]
so the area of the circle
=
[tex] \frac{22}{7} \times 2m \times 2m[/tex]
[tex] \frac{22}{7} \times 4 {m}^{2} [/tex]
[tex]12.57 {m}^{2} [/tex]
subtract the area of the circle from the parallelogram
=
[tex]60 {m }^{2} - 12.57 {m}^{2} [/tex]
=
[tex]47.43 {m}^{2} [/tex]
Done
please help me fast as you can
(i) 47 * 1 = 47
Why? This is because the Multiplication Identity Property states that any number w multiplied by 1 is equal to w
(ii) 135 * 0 = 0
Why? The Zero Property of Multiplication states that 0 multiplied by any number is 0.
(iii) 3 * 5 = 5 * 3
Why? The order numbers are multiplied in does not impact the answer's value according to the Commutative Property of Multiplication
(iv) 7 + 0 = 7
Why? The Zero Property of Addition states that 0 added to any number x is equal to x
(v) 125 * 315 - 125 * 215 = 125 * (315 - 215) = 12500
Why? The Distributive Property states that a * c - a * b = a * (c - b).
Select the correct answer. Consider the given function. 5, x < -2 3, 2 f(x) = 0, 0≤x≤2 -3, 2 Which graph represents the given function?
help!!
⇒ open circle at (-2, 5) with a line to the left
⇒ closed circle at (-2, 3) with a line segment to an open circle at (0, 3)
⇒ closed circle at (0, 0) with a line segment to an open circle at (2, 0)
⇒ closed circle at (2, -3) with a line to the right
Please help me find the answer to:
12x^5 ÷ 3x^2
Solve this pls explain all steps for 22.5 = 1.5x
22.5 = 1.5x
x = 22.5/1.5
x = 15
hope it helps...!!!
Answer:
x = 15
Step-by-step explanation:
1.5x = 22.5
x = 22.5/1.5
assuming your finding x
Find the greatest common factor.
7x³a +7x²a²
Enter the correct answer.
Answer:
7x²a(x + a)
Step-by-step explanation:
7x³a = 7 * x * x * x * a
7x²a² = 7 *x * x * a *a
Common factor = 7x²a
So we have to take the common factor from the two terms
7x³a + 7x²a² = 7x²a ( x + a)
help me please i need help
Answer:
B. 11
Step-by-step explanation:
Hope this helps! ;-)
Answer:
11
Step-by-step explanation:
15-12/3
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
15-4 = 11
Which is in slope intercept form? Any fractions must be in simplest form.
A. 4y = -6x + 8
B. y = -6/4x+8/4
C. y = -3/2x+2
D. 6x + 4y = 8
Answer:
B and C are both in slope-intercept-form.
Step-by-step explanation:
Slope Intercept Form is --> y = mx + b, where m is the slope, and b is the y-intercept.
Both B and C have a slope (-6/4 for B, -3/2 for C) and both have a y-intercept (8/4 or 2).
I hope this helps. Please mark me brainliest!
PLEASE HELP ME
Which graph best represents the solution to the system of equations shown below?
y = -2x + 14
y = 2x + 2
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.
Answer:
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
Step-by-step explanation:
Finding the solution of these 2 equations
y = -2x + 14y = 2x + 2Equating them :
-2x + 14 = 2x + 22x + 2x = 14 - 24x = 12x = 3Substitute in a equation to find y :
y = 2(3) + 2y = 6 + 2y = 8The solution is (3, 8).
The 1st explanation is the correct one.
what is 58.8 in word form
Answer:
It fifty-eight and eight tenths
Step-by-step explanation:
Answer: fifty-eight and eight tenths
Step-by-step explanation:
ANSWER THIS FOR BRAINLIEST
Answer:
(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.
Step-by-step explanation:
We are given the options,
(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.
(b) The number of accidents was reduced by 0.67 per month every month.
(c) The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.
(d) There were 0.67 accidents per month.
We can eliminate option 'c' because the accidents are obviously not increasing, but rather, decreasing. We can also eliminate option 'd' (which to a certain extent is rather vague) because there is a trend in the data. If there were only 0.67 accidents per month (which is impossible anyway), then the graph would be that of [tex]y=0.67[/tex] which is indeed a straight line. Finally, we can eliminate option 'b' because the x-axis isn't in terms of months, but drivers in the program. This leaves 'a' as the only logical answer, which we can see is true because the graph trends downward (hence the negative slope) by about 0.67 per 100 drivers. With a bit of understanding about the problem, we can eliminate the illogical answers to find the correct one!
Note: you may be wondering why the slope isn't just -0.67, but that is because then it would go down by 0.67 for each driver in the program. Therefore, the slope was divided by 100 to yield us a slope of -0.0067 which makes it go down 0.67 per 100 drivers instead of only 1 driver.
Find - 7.8 + (- 12) + (-82.3).
O 102.1
O – 102.1
0 -91.3
O-62.5
Answer:
-102.1
Step-by-step explanation:
When adding negative numbers, act as if you are subtracting that same number, but in its positive form.
So in reality, you could rewrite the equation as: (-7.8) - 12 - 82.3 = -102.1
If you vertically compress the linear parent function, f(x) = x, by a factor of 2,
what is the equation of the new function?
Answer:
f(2)=x
Step-by-step explanation:
Number one you did not give enough information for me to solve the question but from what you did provide I got the answer which is provided above
What is the sum?
3y/ y^2+7y+10 + 2/y+2
Answer:
5
___
y+5
Step-by-step explanation:
first
----> 3y 2(y+5)
---------------------- + ----------
(y+2)(y+5) (y+2)(y+5)
then
----> 3y+2(y+5)
------------
(y+2)(y+5)
then
----> 3y+2y+10
----------
(y+2)(y+5)
then
-----> 5(y+2)
---------
(y+2)(y+5)
then
-----> 5
-------
y+5
Anybody know this? Please and thankyou!
Answer:
log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]
Step-by-step explanation:
log base(6) [tex]\frac{z^{2}y^{3} }{w^{10} }[/tex]
can you help this is hard
Answer:
y=1/2x+1= A
y=-2x-4= C
x-2= E
y=-3= F
y=1/2x+3.5=B
I hope this helps
Step-by-step explanation:
A jar contains only dimes and nickels. The total number of coins in the jar is
15
. The total value of the coins is
$
1.00
. How many of each type of coin are in the jar?
Answer:
5 dimes and 10 nickels
Step-by-step explanation:
0.1d + 0.05n = 1
d + n = 15
d + 0.5n = 10
d + n = 15
0.5n = 5
n = 10
d + n = 15
d + 10 = 15
d = 5
Answer: 5 dimes and 10 nickels
i need help with 8th grade math please hurry and correct answer please 40 points
Answer:
2664.3
Step-by-step explanation:
The volume of a sphere is
V = 4/3 πr³
Multiply the radius (which is the diameter divided by 2), 8.6 by itself 3 times, and them multiply it by pi and 4/3 to achieve a volume of 2664.31 or aproximatley 2664.3.
Answer:
v=59 m3 i think if it helps please mark brainliest
h(x) = (x2 − 49)(x + 4)
Answer:
h(x) = x³ + 4x² - 49x - 196
Step-by-step explanation:
h(x) = (x² - 49)(x + 4) <== distribute
h(x) = x²(x) - 49(x) + x²(4) - 49(4)
h(x) = x³ - 49x + 4x² - 196 <== rewrite in standard form (descending degrees)
h(x) = x³ + 4x² - 49x - 196
Hope this helps!
Equation for a line perpendicular to 3y-9x=9 and passing through the point(-3,2)
Answer:
Step-by-step explanation:
3y-9x=9
3y-9x+9x=9+9x
3y=9x+9
y=3x+3
If a line is perpendicular to an equation, the slope is flipped.
So, 3x would equal to -3x.
The final equation is y=-3x+3
Select all the correct answers.
If the measure of angle 0 is 2pi/3, which statements are true?
A. The measure of the reference angle is 60 degrees
B. Cos(0)= 3/2
C. The measure of the reference angle is 30 degrees.
D. Sin(0)= -1/2
E. Tan(0)= -3
F. The measure of the reference angle is 45 degrees.
The correct answers: tan 120= -√3.
The correct answer is (E)
What is an angle?Angles are the angles between bisecting lines or surfaces at or near their meeting point.
Given : [tex]\theta\\[/tex] = 2π/3
= 2*180/3= 120
So, First and the fourth statement is not correct.
and, cos 120= -1/2
sin 120= √3/2
So, B and D statement is also wrong
tan 120= -√3.
Hence, the only correct statement is tan 120= -√3.
Learn more about angle here:
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G
Which represents the solution(s) of the graphed system of equations, y = -x² + x + 2 and y = -x + 3
5
4
3
2
←+
-5-4-3-2-1,
2 3 4 5
O (1, 2)
Next
Mark this and return
-2+
8 + 9
(1 21 and 10 21
X
Save and Exit
Answer: (1, 2)
Step-by-step explanation:
y = -x² + x + 2
y = -x + 3
1. Set the two equations equal to each other:
-x² + x + 2 = -x + 3
2. move one of the equations to the other side:
-x² + 2x - 1
3. Factor out a -1:
-1 (-x² + 2x - 1) = 0
x² - 2x + 1
4. Factor:
(x - 1)(x - 1)
x = 1
5. Plug in 1 to one of the equations:
y = -x + 3
y = -(1) + 3
y = 2
6. Write as coordinates:
(1, 2)
Using basic geometry, solve sin 105°
Answer:
See below
Step-by-step explanation:
sin ( 60 + 45) = sin60 cos 45 + cos45 sin60
= sqrt3 / 2 * sqrt2/2 + sqrt2/2 * 1/ 2
sqrt6/4 + sqrt 2/ 4
(sqrt6 + sqrt 2) / 4
A rectangle measures 2(3x - 1) cm by (2x + 3) cm. If its perimeter is 98 cm what are the dimensions of this rectangle?
Answer:
the dimensions of the rectangle are 34cm and 15cm
Step-by-step explanation:
proof:
p= (2 × 34) + (2 × 15)
=68 + 30
= 98
hope this helps!!
Answer: 34x15
Step-by-step explanation:
A rectangle
Knowing the properties of a rectangle, the opposite sides are equal and parallel.
Determine formula
Since both sides are equal, our formula is [tex]((2(3x-1))*2)+((2x+3)*2)=98[/tex]
Solve for X
Side 1:
[tex]((2(3x-1))*2)[/tex]
[tex]((6x-2)*2)[/tex]
[tex](12x-4)[/tex] simplified
Side 2:
[tex]((2x+3)*2)[/tex]
[tex](4x+6)[/tex] simplified
Solve:
[tex](12x-4) + (4x+6) = 98[/tex]
[tex]16x+2=98[/tex]
[tex]16x=96[/tex]
[tex]\frac{16x}{16} = \frac{96}{16}[/tex]
[tex]x = 6[/tex]
Substitute x
[tex]2(3(6)-1) = 34[/tex]
[tex](2(6)+3) = 15[/tex]
The dimensions of this rectangle are 34x15.
Which expression can be used to find the volume of the cone in this composite figure?
A cylinder and cone. Both have a radius of 4 centimeters. The cylinder has a height of 7 centimeters and the cone has a height of 8 centimeters.
V = one-third pi r squared h = one-third (4) squared (8)
V = one-third pi r squared h = one-third pi (8) squared (4)
V = one-third pi r squared h = one-third pi (4) squared (7)
V = one-third pi r squared h = one-third pi (8) squared (8)
The expression that represents the volume of the cone is one-third pi r squared h = one-third (4) squared (8).
What is the volume of the cone?A cylinder is a three-dimensional object. It is a prism with a circular base. A cone is a three-dimensional object made up of a circular base and a vertex.
volume of a cylinder = πr²h
= pi x r² x 7
volume of a cone = 1/3 πr²
= 1/3 pi x 4² x8
To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219
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Answer:
A is Correct
Step-by-step explanation:
