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3 years ago

Question 1 of 10

Mathematics

2 answers:

AveGali [126]3 years ago

8 0

Answer:

Option C

(4x + 5)(4x +5)

Step-by-step explanation:

Step 1: Write the expression

$16x^{2} + 40x + 25$

Step 2: Choose to integers that when you add you get 40 and when multiplied you get 400

The integers are +20 and +20

Step 2: Split 40x into + 20x nd + 20 x

Therefore

$16x^{2} + 40x + 25 = 16x^{2} + 20x + 20x + 25$

$16x^{2} + 20x + 20x + 25 = 4x(4x + 5) + 5(4x + 5)\\(4x + 5)(4x + 5)$

yulyashka [42]3 years ago

5 0

the answer is C

C. (4x + 5)(4x + 5)

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Katyanochek1 [597]

Answer:

a) the slope is 2/-1 or just -2

b) the slope is 1/1 or just 1

Step-by-step explanation:

You can find slope (rise/run) by picking a point on the graph. For example on question a I chose the point (-2, 1) i then counted how far my run was, which is 2, and my rise (or how far down it went) was -1. Therefore my slope was 2/-1 or just -2.

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3 years ago

A student inscribes a triangle within a semicircle. What is the measure of ∠XYZ?

Dmitry [639]

Answer:

The correct answer is option A. 90°

Step-by-step explanation:

Points to remember

Measure of angles on the semicircle is 90°

From the figure we can see a semicircle and a triangle inscribes on it.

To find the measure of <XYZ

Here <XYZ is on the semicircle that is angle XYZ is a right angle.

Therefore m<XYZ = 90°

The correct answer is option A. 90°

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3 years ago

Read 2 more answers

What is 927 divided by 9 step by step

myrzilka [38]

Answer:

103

Step-by-step explanation:

$\frac{927}{9} = 103$

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3 years ago

1. The graph below represents five cities and the routes between them. An out-of-state road inspector is asked to fly into Potts

ollegr [7]

Please see attached image for the graph.

a. Yes, it is mathematically possible because the degree of vertices for P=3, T=3, M=2, C=4, and R=2 and in Euler’s theorem, the graph has to be connected, which in this case it is and the number of vertices in the graph whose vertices is odd, is 0 or 2. And in this case, we have 2 that have a degree of vertices that are odd, therefore mathematically this is possible for the driver. The route would be P > R > C > M > T > C > P > T.

b. It is mathematically possible. The router would be P > C > R > T > M > C > T. Essentially, you travel each road once.

c. The driver would use a Hamiltonian circuit. The route would be J > R > A > C > V > M > T > P > J.

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4 years ago

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Brums [2.3K]

$\large{\mathcal{QUESTION:}}$

An elliptical mirror has an eccentricity of 0.8. The mirror is surrounded by a 2-inch wide golden frame and is 34 inches tall including the frame. If a replacement mirror is being cut from a rectangular sheet of glass, what is the minimum dimensions needed for the sheet of glass?

$\large{\mathcal{ANSWER:}}$

B. 17 inches by 8 inches

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2 years ago