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3 years ago

find two numbers if the second number equals 4 less than the square of the first number and their sum is 38.

1 answer:

6 0

\sqrt{x} - 4 = 38

38 + 4 = 42

42^2 because the opposite of square root is exponent.
42^2 = 42 x 42 = 1764 = X

Check your work:
/sqrt{1764} - 4 = 38

/sqrt{1764} = 42

42 - 4 = 38

X = 1764

Hopefully this helps!

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Rotate angle ABC 90 degrees clockwise about the origin and then reflect over the x-axis

Lady_Fox [76]

Rotation and reflection are instances of transformation

See attachment for the new position of $\triangle ABC$

From the question, we have:

$A = (-1,1)$

$C = (-2,4)$

The rule of 90 degrees clockwise rotation is:

$(x,y) \to (y,-x)$

Using the above transformation, the new points would be

$A' = (1,1)$

$B' =(3,3)$

$C' = (4,2)$

The next transformation is reflection over the x-axis

The rule of this transformation is:

$(x,y) \to (x,-y)$

So, the new points would be:

$A" = (1,-1)$

$B" = (3,-3)$

$C" = (4,-2)$

See attachment for the new points

Read more about transformation at:

brainly.com/question/11709244

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2 years ago

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givi [52]

Answer:

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Step-by-step explanation:

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3 years ago

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Shalnov [3]

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3 years ago

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Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len

FromTheMoon [43]

Width of the miniature model = $3\frac{3}{4}$ inches

Length of the miniature model = $5\frac{1}{2}$ inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x$

$$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x$

$$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}$

Do cross multiplication.

$$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}$

$$\Rightarrow{\frac{15}{4}x =\frac{165}{2}$

$$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}$

⇒ x = 22

Hence the actual length of the boat is 22 feet.

6 0

3 years ago

Polly surveyed 850 teenagers to find out their favorite type of music. She found that 32% of the teenagers surveyed like hard ro

frosja888 [35]

Answer:

In explanation

Step-by-step explanation:

272 for part A because say you took a test out of 850 and you got a total of 272 of them right then you would of gotten a 32%

200 for 2 because if 75% of them liked pop music and 150 teenagers what the number of teenagers surveyed then that means 200 of them were surveyed because 150 out of 200 is 75%

I don't know the last one because if you had anything there only could get a 100%(im sorry for this one it's a little confusing.

Hope this helps have a great afternoon:)

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2 years ago