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3 years ago

The blue shape is a dilation of the black shape. What is the scale factor of the dilation?

Mathematics

2 answers:

Yakvenalex [24]3 years ago

7 0

4/1 4 is your answer

BabaBlast [244]3 years ago

4 0

Answer:

scale factor = 4

Step-by-step explanation:

The ratio of corresponding sides, blue shape to black shape.

The corresponding widths are 1 and 4 , then

scale factor = $\frac{4}{1}$ = 4

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use the given conditions to write an equation for the line in point slope form passing through (-5,7) and (-8,6)

KengaRu [80]

Point slope form is
y-y1=m(x-x1)
where slope=m
and (x1,y1) is a given point

slope=(y2-y1)/(x2-x1)
slope=(6-7)/(-8-(-5))=-1/(-8+5)=-1/-3=1/3

pick any point
(x,y)
(-5,7)

y-7=1/3(x+5) or
y-6=1/3(x+8)

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3 years ago

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iren2701 [21]

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3 years ago

Which of the following are solutions to the equation below?

larisa86 [58]

Answer:

B and C

Step-by-step explanation:

First, we need to get the left side equal to zero. Take away 25 from each side to get $4x^2+12x-16 = 0$ .

We can use the quadratic equation of $\frac{-b+ -\sqrt{b^2-4ac} }{2a}$ to find the solutions.

Plug them in to get $\frac{-12+-\sqrt{144 -(-256)} }{8}$ .

Simplify.

$\frac{-12+-\sqrt{400} }{8}$

$\frac{-12+-20}{8}$

$\frac{8}{8}$ or $\frac{-32}{8}$

1 and -4

x = 1 and -4

7 0

3 years ago

Read 2 more answers

If -7d - 5 = 23, then d =

LiRa [457]

Answer:

d=-4

Step-by-step explanation:

-7d - 5 = 23

-7d = 28

d = -4

3 0

3 years ago

Read 2 more answers

What is the slope of the line?

yulyashka [42]

Answer:

Step-by-step explanation:

In simple terms, the slope of the line is $\frac{Rise}{Run}$

The equation states that the slope is how much the graph, rises goes up, divided by how much it goes across, to the right.

This graph goes up 3 units and goes to the right by 1 unit. Use the lattice points, the marked points, to make the decisions. You can pick any two points, and you will see that when simplified, it will equal 3.

This is because the graph is proportional.

-Chetan K

8 0

2 years ago