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Oksanka [162]
3 years ago
12

1. Give the rule for translating a point 4 units left and 8 units up.

Mathematics
1 answer:
netineya [11]3 years ago
4 0

Answer:

[see below]

Step-by-step explanation:

4 units to the left is subtracting 4 from the pre-image's x value. (' - 4')

8 units up is adding 8 to the pre-image's y value. (+ 8)

The rule should be:

(x,y)\rightarrow(x-4,y+8)

Hope this helps.

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Daley wrote an equivalent equation to determine how many pounds of blueberries he could buy. Analyze Daley’s work. Did he make a
AVprozaik [17]

Answer:

It is D

Step-by-step explanation:

No. He correctly solved for b. EDge 2020 ^-^

3 0
3 years ago
Read 2 more answers
In the equation, 7 (3a+12)=168 , what are some of the steps that should be taken to solve for x? Select all that apply.
Svetradugi [14.3K]

7(3a + 12) = 168 ← ( divide both sides by 7 )

3a + 12 = 24 ← ( subtract 12 from both sides )

3a = 12 ← ( divide both sides by 3 )

a = 4

OR

distribute the parenthesis by 7

21a + 84 = 168 ← ( subtract 84 from both sides )

21a = 84 ← ( divide both sides by 21 )

a = 4


5 0
3 years ago
The perimeter of a bedroom is 88 feet. The ratio of the width to the length is 5:6. What are the dimensions of the bedroom?
Elza [17]

Answer:

20 feet wide, 24 feet long

Step-by-step explanation:

Let x - width, y - length.

The perimeter is given by the formula:

P = 2*(width + length) or using x, y

P = 2*(x + y) = 88

x + y = 44

And we know that the ratio between the sides is 5/6:

x/y = 5/6. x is on top because the length is bigger than the width

x = 5y/6

Plug this in the first expression:

y + 5y/6 = 44. Muliply by 6

6y + 5y = 264

11y = 264

y = 264/11 = 24.

So x = 5(24)/6  = 20

7 0
3 years ago
Given the vertex of a quadratic function, find the axis of symmetry.
motikmotik

(i) The equation of the axis of symmetry is x = - 5.

(ii) The coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) According to the <em>vertex</em> form of the <em>quadratic</em> equation, the parabola opens down due to <em>negative</em> lead coefficient and has a vertex at (2, 4), which is a <em>maximum</em>.  

<h3>How to analyze and interpret quadratic functions</h3>

In this question we must find and infer characteristics from three cases of <em>quadratic</em> equations. (i) In this case we must find a formula of a axis of symmetry based on information about the vertex of the parabola. Such axis passes through the vertex. Hence, the equation of the axis of symmetry is x = - 5.

(ii) We need to transform the <em>quadratic</em> equation into its <em>vertex</em> form to determine the coordinates of the vertex by algebraic handling:

y = x² - 8 · x - 2

y + 18 = x² - 8 · x + 16

y + 18 = (x - 4)²

In a nutshell, the coordinates of the vertex of the parabola are (h, k) = (4, - 18). The x-value of the vertex is 4.

(iii) Now here we must apply a procedure similar to what was in used in part (ii):

y = - 2 · (x² - 4 · x + 2)

y - 4 = - 2 · (x² - 4 · x + 2) - 4

y - 4 = - 2 · (x² - 4 · x + 4)

y - 4 = - 2 · (x - 2)²

According to the <em>vertex</em> form of the <em>quadratic</em> equation, the parabola opens down due to <em>negative</em> lead coefficient and has a vertex at (2, 4), which is a <em>maximum</em>.  

To learn more on quadratic equations: brainly.com/question/1863222

#SPJ1

5 0
1 year ago
Explain the difference in the solutions of linear inequalities and the solutions of systems of linear inequalities.
adoni [48]
Linear Equation

A linear equation is any equation involving one or two variables whose exponents are one. In the case of one variable, one solution exists for the equation. For example, with 2x = 6, x can only be 3.

Linear Inequalities

A linear inequality is any statement involving one or two variables whose exponents are one, where inequality rather than equality is the center of focus

6 0
3 years ago
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