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Gala2k [10]
4 years ago
11

The rectangle shown in dilated by a scale factor of 4. Please answer (a) thank you

Mathematics
1 answer:
Lostsunrise [7]4 years ago
6 0

Answer:

The dimensions of the dilated image are 60 cm by 32 cm

Step-by-step explanation:

we know that

The scale factor is equal to 4

The scale factor is > 1 -----> therefore the dilation is an enlargement

To find the dimensions of the dilated image, multiply the original dimensions by the scale factor

New Length=(15)(4)=60 cm

New Width=(8)(4)=32 cm

The dimensions of the dilated image are 60 cm by 32 cm

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Angelo's mother put $50 on his lunch card. He spends the same amount
amid [387]

Answer:

Given that Angelo spends the same amount every day from the amount in

the lunch card, the function of the amount remaining is a linear function.

The constant rate of change of the function is; -5.25

The two ordered pairs used to find the constant rate of change are; (1, 44.75) and (2, 39.5)

Reasons:

The amount Angelo's mother put on the lunch card = $50

A possible table of values to the question is presented as follows;

Required:

The constant rate of the function that gives the amount remaining from the

amount Angelo's mother put on his lunch card.

Solution:

The two ordered pairs that can be used to find the slope or constant rate of change are;

(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)

With the above two ordered pairs, we have the constant rate of change of the function given as follows;

The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25

3 0
3 years ago
What you find the area of the following parallelogram, what units should you use?
Dahasolnce [82]
I believe the answer D
5 0
4 years ago
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
madam [21]

The true statement is:

"The range of the function is all real numbers less than or equal to 9."

<h3>Which statements are true?</h3>

Here we have the quadratic function:

f(x) = -x^2 - 4x + 5

And we want to see which of the given statements are true.

The first one is:

"The domain is al real numbers less than or equal to -2"

This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).

The second statement is:

" The domain of the function is all real numbers less than or equal to 9."

Also false

Third one:

" The range of the function is all real numbers less than or equal to −2"

The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.

In this case, the quadratic function is:

f(x) = -x^2 - 4x + 5

So the vertex is at:

x = 4/(2*-1) = -2\\

Then the y-value of the vertex is:

f(-2) = -(-2)^2 - 4*(-2) + 5 = -4 + 8 + 5 = 9

So the range is the set of all real numbers less than or equal to 9.

So the above statement is false, and the final one:

"The range of the function is all real numbers less than or equal to 9."

Is the true statement.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

#SPJ1

8 0
2 years ago
Solve the system using the substitution method <br> 4x+6y=8<br> 3x+y=9
inessss [21]
4x+6y=8
3x+y=9

y = 9 - 3x

4x + 6(9-3x) = 8
4x + 54 - 18x = 8
14x = 46
x = 23/7

y = 9 - 3(23/7)
y = 9 - 69/7
y = - 6/7
4 0
3 years ago
Greg budgeted carefully and by the time he turned 30 his retirement account balance was $22,000. If that amount grew at a rate o
Ratling [72]

Answer:

$618,253.61

Step-by-step explanation:

30 to 65 is 35 years

22000 × (1 + 10/100)³⁵

22000 × 1.1³⁵

618253.6107

6 0
4 years ago
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