♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] - 3(2a - 14) - 3a = 24[/tex]
[tex] - 6a + 42 - 3a = 24[/tex]
[tex] - 9a + 42 = 24[/tex]
Subtract sides 42
[tex] - 9a + 42 - 42 = 24 - 42[/tex]
[tex] - 9a = - 18[/tex]
Divide sides by - 9
[tex] \frac{ - 9a}{ - 9} = \frac{ - 18}{ - 9} \\ [/tex]
[tex]a = 2[/tex]
_________________________________
CHECK :
[tex] - 3(2(2) - 14) - 3(2) = 24[/tex]
[tex] - 3(4 - 14) - 6 = 24[/tex]
[tex] - 3( - 10) - 6 = 24[/tex]
[tex]30 - 6 = 24[/tex]
[tex]24 = 24[/tex]
Thus the solution is correct.....
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find slope of the line passes through (7, 3)and (9, 6
Answer:
slope = 3/2
Step-by-step explanation:
(y2-y1)/(x2-x1)
= (6-3)/(9-7)
= 3/2
Hope this helps! :3
plz mark as brainliest!
{(2,0), (4, -3), (6, 9), (-2,7), (4,9)}
What is the range?
um...? idk
Answer:
(8,9)
Step-by-step explanation:
The biggest number minus the smallest number.
can you simplify this?
[tex] \frac{a {}^{3} }{2} [/tex]
In square ABCD, diagonal DB is drawn. If the m
9514 1404 393
Answer:
x = 11
Step-by-step explanation:
The diagonal creates two isosceles right triangles, so ...
m∠CBD = 45°
3x +12 = 45
3x = 33 . . . . . . subtract 12
x = 11 . . . . . . . . divide by 3
help !! which one is it?
The third one is correct
Find a formula for the function f(x) such that f′(x)=sin(x) and f(2)=5.
Answer: f(x) = -cos(x) + 4.584
Step-by-step explanation:
we know that f'(x) = sin(x)
if we integrate that, we get:
f(x) = -cos(x) + C
Where C is a constant of integration.
And we also want that:
f(2) = 5
with that relationship we can find the value of C.
f(2) = 5 = -cos(2) + C
(The calculation is done in radians)
5 = -(-0.416) + C
5 - 0.416 = C = 4.584
Then the function is:
f(x) = -cos(x) + 4.584
y = x2+x-30
what are the factors
Answer:
2 and x are the factors of 2
Step-by-step explanation:
What is the value of V81
[tex] \sqrt{81} [/tex]
y = -2x+3 write in standard form
Answer:
y + 2x - 3 = 0
Step-by-step explanation:
You should learn the topic.
Answer:
2x+y-3=0
Step-by-step explanation:
The standard form is a representation of equations that start from the variable term towards the constant term, generally leaving the RHS empty.
Here,
[tex]y=-2x+3\\y+2x=3\\y+2x-3=0\\2x+y-3=0[/tex]
Find the discriminant and state the number and type of solutions.
-3.02 - 6x + 5 = 8
i need help 5+(−4)+(−7)+2
can you guy help me for this questions
Answer:
-4
Step-by-step explanation:
first remove the parentheses
5-4-7+2
then calculate the sum or difference
-4
8. The table shows the linear relationship between the balance of a student's savings
account and the number of weeks he has been saving.
Savings Account
Week
1 3
8 13
Balance
53
88
(dollars)
123
0
6
32
39
74
Based on the table, what was the rate of change of the balance of the student's
savings account in dollars and cents per week?
Answer:
7 dollars
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,-6) and (-9,6)
Answer:
13
Step-by-step explanation:
[tex]d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} } \\d=\sqrt{(-9--4)^{2} +(6--6)^{2} } \\d=\sqrt{25 +144}\\d=\sqrt{169}\\d=13[/tex]
What is the distance from QR?
Q
6n + 3
s
4n + 11
R
Answer:
The distance of QR is 54 units
Step-by-step explanation:
In the isosceles triangle, The height drawn from the vertex angle to the base bisects the base
In ΔPQR
∵ PQ = PR
∴ Δ PQR is an isosceles triangle
∵ P is the vertex angle
∵ QR is the base
∵ PS ⊥ QR
→ By using the fact above
∴ PS bisects QR
∴ S is the midpoint of QR
→ That means S divided QR into 2 equal parts QS and SR
∵ QS = SR
∵ QS = 6n + 3
∵ SR = 4n + 11
→ Equate them to find n
∴ 6n + 3 = 4n + 11
→ Subtract 4 n from both sides
∵ 6n - 4n + 3 = 4n - 4n + 11
∴ 2n + 3 = 11
→ Subtract 3 from both sides
∵ 2n + 3 - 3 = 11 - 3
∴ 2n = 8
→ Divide both sides by 2
∴ n = 4
→ Find the length of QS by substitute x in its expression by 4
∵ QS = 6(4) + 3 = 24 + 3
∴ QS = 27
∵ QS = SR
∴ SR = 27
∵ QR = QS + SR
∴ QR = 27 + 27
∴ QR = 54 units
∴ The distance of QR is 54 units
6. Triangle CDE with vertices C(-2,-2), D(1,-4), and E(-3,-4):
a) dilation with scale factor of 4 centered (-1.-3)
b) reflection in the line y = -x
The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)
How to work with transformation of objects?
We are given the vertices of Triangle CDE as;
C(-2,-2), D(1,-4), and E(-3,-4).
Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.
However, we are told that it is centered about the point (-1.-3).
Thus;
Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.
Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)
Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.
Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)
Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.
Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)
B) Reflection in the line y = -x gives;
C'(2, -2), D(-1, 4), and E(3, 4)
Read more about Objects Transformation at; https://brainly.com/question/3457976
#SPJ1
How do cells maintain homeostasis? Describe one way a cell will maintain stable internal conditions.
Answer:
One way that a cell maintains homeostasis is by controlling the movement of substances across the cell membrane. Cells are suspended in a fluid environment.
i am beyond confused
Triangle CAT is an isosceles triangle with base angles C and T each represent by (3x + 11) degrees, while angle A is represented by (9x + 8) degrees. Find the measure of angle C.
Answer:
Angle C = 41°
Step-by-step explanation:
Given:
Angle C = (3x + 11) degree
Angle T = (3x + 11) degree
Angle A = (9x + 8) degree
Find:
Angle C
Computation:
Using angle sum property
(3x + 11) + (3x + 11) + (9x + 8) = 180
15x + 30 = 180
x = 10
So,
Angle C = (3x + 11) degree
Angle C = 3(10) + 11
Angle C = 41°
What is the slope of the line that passes through the points (-10, 8) and (−15,−7)? Write your answer in simplest form.
In 8-11, Explain how to get the variable alone in each equation
8. 8y = 5.6
9. x ➗ 15.2 = 3
10. u ➗ 8.7 = 12
11. 31.4 = 3.14y
Step-by-step explanation:
8. You divide each side by 8
[tex] \frac{8y}{8} = \frac{5.6}{8} [/tex][tex]y = \frac{5.6}{8} [/tex]9. You multiply each side by 15.2
[tex]x = 3 \times 15.2[/tex]X=45.610. You multiply bith sides by 8. 7
[tex]u= 12 \times 8.7[/tex]11. You divide both sides by 3.14
[tex]3.14y = 31.4 \\ y = \frac{31.4}{3.14} \\ y = 10[/tex]Hope this helps, have a wonderful day
Solve the puzzle. M + M + M = 30. M + N + N =20. N + Q + Q = 9. N + Q × M = ?Solve for M.
A. 8
B. 9
C. 10
Answer:
M=10
N=5
Q=2
Step-by-step explanation:
if you look at the equation it says
M+M+M=30
Since there's 3 M's you can combine it and make it into 3M=30.
you could then divide 30 by 3 in order to get M by itself and you would get M=10.
Hope this helped :)
Use the graph below for this question: A 6 4 3 What is the average rate of change from x = -1 to x = -2? (1 point) 2 - 2 4 -1
Answer:
- 2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 2, - 1 ] , then
f(b) = (f(- 1) = 5 ← corresponding value of y (- 1, 5 )
f(a) = f(- 2) = 7 ← corresponding value of y (- 2, 7 ) , thus
average rate of change = [tex]\frac{5-7}{-1-(-2)}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2
A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles. What is the ratio of red to yellow?
Answer:2:5
Step-by-step explanation: you have 2 red marbles which is the numerator and 5 as the denominator because it is the bigger number .
Is the relation a function? If it is a function, state the domain and range. If not, circle or
highlight the part that causes it to not be a function.
Answer:
Please check the explanation.
Step-by-step explanation:
Writing this relation in set notation using curly braces:
{(1, 3), (2, 5), (3, -1), (4, 0), (5, 6)}
The relation clearly indicates that each input is related to exactly one output. In other words, there is no repetition of 'x' values.
Hence, this relation is a function.
We know that the domain is the set of all x values.
Thus, the domain is: {1, 2, 3, 4, 5}
We know that the domain is the set of all y values.
Thus, the range is: {-1, 0, 3, 5, 6}
Solve the system of linear equations by multiplying.
7x-2y=22
3x+9y=39
Answer: The answer (4,3) or x=4 and y=3
2x^2+15x=8
factor or solve as indicated, show all work.
please and thank u!
Answer: x= -8 or x = 1/2
Step-by-step explanation:
2x^2 + 15x = 8 Subtract 8 from both sides to let the whole equation equal 0
- 8 -8
2x^2 + 15x - 8 = 0 Now find two numbers that if you multiply them, their product will be -16 and their sum will be 15. An example is the numbers 16 and -1. 16 times -1 is -16 and 16 plus -1 is 15.
Rewrite the whole equation in this form,
2x^2 +16x - 1x - 8 = 0 Factor on the left side
2x ( x + 8) -1 (x + 8) = 0 Now factor out x + 8
(x + 8) (2x -1) = 0 Set each expression equal zero, because for the whole expression to equation to 0, either one of them or all of them have to equation zero.
x + 8 = 0 or 2x - 1 = 0
-8 -8 +1 +1
x = - 8 2x = 1
x = 1/2
A circular clock has a circumference of 48.5 meters. What the measurement of the radius, in meters, of the clock?
Answer:
The radius of the clock is 7.72 meters
Step-by-step explanation:
Here, we want to calculate the radius of a clock which has a circumference of 48.5 m
Mathematically;
Circumference C = 2 * pi * r
48.5 = 2 * 22/7 * r
7 * 48.5 = 44r
r = (7 * 48.5)/44
r = 7.72 meters
a 40ft flag pole has a rope tied from the top to the ground. the rope makes a 25 degree angle with the ground, how long is the rope
Answer:
The rope is 94.65 feet.
Step-by-step explanation:
PLEASE HELP!!!!!!!!
find the missing value
y=-4x-1
( ,11)?
Yo can anybody please help me with this math question please
Answer:
the answer should 60°
Step-by-step explanation:
if look at angle pq and rq the measure of the angle is 60° if u were to spin that angle to a u should get the same measurement