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2 years ago

Analyzing Graphs of Functions

Mathematics

1 answer:

liberstina [14]2 years ago

6 0

Answer:

The first option

Step-by-step explanation:

If you look at the graph, you'll realize that when x = 2 in the first graph, y = 4

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Rectangle A is a scale drawing of Rectangle B and has 25% of its area. If rectangle A has side lengths of 4 cm and 5 cm , what a

SpyIntel [72]

Answer:

8 cm and 10 cm

Step-by-step explanation:

Hello, <em> </em>I can help you with this.

Step 1

According to the question there are two rectangles A and B,

Rectangle A is a scale drawing of Rectangle B and has 25% of its area

in other words

$Area_{A}=0.25*Area_{B} (Equation\ 1)\\$

Step 2

Let

Rectangle A

length (1)= 4 cm

length (2)= 5 cm

$Area_{A}=4\ cm * 5\ cm\\Area_{A}=20\ cm^{2}$

put this value into equation 1

$Area_{A}=0.25*Area_{B} (Equation\ 1)\\\\20\ cm^{2} =0.25*Area_{B} \\divide\ each\ side\ by\ 0.25\\\frac{20\ cm^{2} }{0.25}=\frac{0.25}{0.25}*Area_{B}\\ Area_{B}=80\ cm^{2}$

Now, we know the area of rectangle B, to know its length we need to formule other equation

Step 3

$Area_{B}=80\ cm^{2}\\length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\$

the ratio between the lengths must be constant, so the ratio of A must be equal to ratio in B, then

$\frac{length(1A)}{length(2A)}=\frac{length(1B)}{length(2B)} \\\\\\frac{4}{5}= \frac{length(1B)}{length(2B)}\\0.8=\frac{length(1B)}{length(2B)}\\length(1B)=0.8*length(2B) (Equation 3)$

Step three

using Eq 1 and Eq 2 find the lengths

put the value of length(1B) into equation (2)

$length (1B)*length (2B)=80\ cm^{2} (equation\ 2)\\\(0.8*length(2B)) (*length (2B)=80\ cm^{2} \\\\0.8*(length (2B))^{2} =80\ cm^{2}\\(length (2B))^{2} =\frac{80\ cm^{2}}{0.8} \\(length (2B))^{2}=100\\\sqrt{(length (2B))^{2}}=\sqrt{100\ cm^{2}} \\ length (2B)=10\ cm$

Now, put the value of length(2B) into equation 3 to know length (1B)

$length(1B)=0.8*length(2B)\\length(1B)=0.8*10\ cm\\length(1B)=8 cm$

I really hope this helps you, have a great day.

6 0

3 years ago

two pipes together can fill a tank in 12 hours alone the smaller pipe can take 7 hours longer than the larger pipe takes to fill

Rashid [163]

Well you should just have to add 7 to 12.

3 0

3 years ago

Find a polar equation for the curve represented by the given cartesian equation. X2 + y2 = 2cx

Tanzania [10]

Hi,

Work:

Equation;

$x2 + y2 = 2cx$

Factor out 2x from expression.

$2x \times (1 + yc)$

Use commutative property to reorder yc.

$2x \times (1 + cy) \: \: \: \: \: \: \: \: \: \: \: \: \: result$

Hope this helps.
r3t40

4 0

3 years ago

Kelly tells you that when variables are in the denominator, the equation becomes unsolvable. "There is a value for x that makes

saveliy_v [14]

The problem can be translated into an equation that is something like 4/5 + 3/x = 1/2
we cannot have x equal to zero because the number can be infinite.
So the LCD here is 10x, so multiply both sides by that to get:
8x + 30 = 5x
Subtract 5x and 30 from both sides:
3x = -30
divide:
x = -10
The solution isn't zero so there is a solution.

8 0

3 years ago

99.7 of all newborn babies in the United States weigh between

Marina CMI [18]

Answer:

2000-5000 g

Step-by-step explanation:

Averagely, the weight of a new born baby is 7.5 lb, which is equal to 3.5 kg.

Converting this weight in kg to grams,

3.5 kg = 3.5 *1000 = 3500 g

From the answer choices, the value will range from 2000 g-5000 g

4 0

3 years ago

Read 2 more answers