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3 years ago

Please help, common assessment quiz question linked with picture

Mathematics

1 answer:

irinina [24]3 years ago

8 0

The dilation is 4. Everything is getting 3 times bigger.

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Show all work to solve the equation for x. If a solution is extraneous, be sure to identify it. Square root of the quantity x +

creativ13 [48]

Answer:

x = 2 is the solution of the given equation

Step-by-step explanation:

Step(i):-

Given equation

$\sqrt{x+6-4} = x$

squaring on both sides , we get

$(\sqrt{x+2})^{2} = x^{2}$

⇒ x + 2 = x²

⇒x² - x -2 =0

Step(ii):-

Given x² - x -2 =0

⇒ x² - 2x + x - 2 =0

⇒ x ( x-2) + 1(x - 2) =0

⇒ (x + 1) ( x-2) =0

⇒ x = -1 and x =2

x = 2 is the solution of the given equation

Verification:-

$\sqrt{x+6-4} = x$

Put x= 2

$\sqrt{2+6-4} = 2$

$\sqrt{4} = 2$

2 = 2

6 0

4 years ago

Look at the following survey and then answer the question.

wolverine [178]

Answer:

c 32 out of 80 were surveyed

7 0

4 years ago

If y varies directly as x and y = 5.5 when x = 11, find x when y = 3.5 help

dlinn [17]

Answer:

Step-by-step explanation:

Let us say that $y_{1}$ = 5.5, $x_{1}$ = 11, and $y_{2}$ = 3.5.

$\frac{y_{2}}{y_{1}} =\frac{x_{2}}{x_{1}}$

$\frac{3.5}{5.5} =\frac{x_{2}}{11}$

$\frac{7}{11} =\frac{x_{2}}{11}$

$x_{2} =7$

I hope this is correct and helps you!

5 0

3 years ago

In the after school Dena, Shawn, and Amanda knit scarfs that are the same size with yellow, white, and blue yarn. Denas scarf is

jenyasd209 [6]

Answer:

$\frac{8}{20}$

Step-by-step explanation:

We have been given that in the after school Dena, Shawn, and Amanda knit scarfs that are the same size with yellow, white, and blue yarn. Denas scarf is 2/5 yellow, Shawn's scarf is 3/5 , and Amanda's scarf is 3/4 yellow.

To make Amanda's argument true, let us compare each fraction by making a common denominator.

We can see that least common denominator of each fraction would be 20.

$\text{Dena's scarf}=\frac{2}{5}\Rightarrow\frac{2*4}{5*4}=\frac{8}{20}$

$\text{Shawn's scarf}=\frac{3}{5}\Rightarrow\frac{3*4}{5*4}=\frac{12}{20}$

$\text{Amanda's scarf}=\frac{3}{4}\Rightarrow\frac{3*5}{4*5}=\frac{15}{20}$

Since $\frac{8}{20}$ , therefore, Amanda's scarf has the most yellow.

8 0

3 years ago

If triangle XYZ is congruent to triangle RST find RS

Alina [70]

Answer:

If two triangles Δ RST and Δ XYZ are similar, then corresponding angles are equal and their corresponding sides are proportional.

So here ∠R=∠X, ∠S=∠T and ∠T=∠Z

7 0

3 years ago

Read 2 more answers