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Tresset [83]
3 years ago
5

I need these three solved. I have a lot of math to do. the directions say solve each system of equations using substitution. sho

w mathematical work for each to justify your response.

Mathematics
1 answer:
alekssr [168]3 years ago
6 0

Answer:

5.

x + 2(x + 1) = 8 --> x = 2

y = 2 + 1 = 3

7.

3(9 + 2y) + 5y = 20 --> y = -7/11

x = 9 + 2(-7/11) = 85/11

9.

3(-1 - 2y) + 5y = -1 --> y = -2

x = -1 - 2(-2) = 3


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Factor.<br><br> 3x(y−4)−2(y−4)<br><br><br><br> Enter your answer in the box.
NISA [10]

Answer: Use the distributive property to multiply 3 by y−4.

3y−12−2(y−4)

Use the distributive property to multiply −2 by y−4.

3y−12−2y+8

Combine 3y and −2y to get y.

y−12+8

Add −12 and 8 to get −4.

Anwser:

y−4

Step-by-step explanation:

Hope this helps!

6 0
3 years ago
Question 7
serg [7]

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>a </u><u>cone</u><u> </u><u>with </u><u>volume</u><u> </u><u>7</u><u>6</u><u>9</u><u>?</u><u>3</u><u> </u><u>ft³</u><u> </u><u>,</u><u> </u><u>having </u><u>a </u><u>height </u><u>of </u><u>1</u><u>5</u><u> </u><u>ft</u>

  • To calculate - <u>radius </u><u>of </u><u>the </u><u>cone</u>

We know that ,

\bold{Volume \: of \: cone =  \frac{1}{3}\pi \: r {}^{2}  h }\\

<u>substituting</u><u> </u><u>the </u><u>values </u><u>in </u><u>the </u><u>formula</u><u> </u><u>stated </u><u>above </u><u>,</u>

\bold{769.3 =  \frac{1}{3}  \times 3.14 \times r {}^{2}  \times 15} \\  \\\bold{\implies r {}^{2}  =  \frac{769.3 \times 3}{3.14 \times 15} } \\  \\\bold{\implies  r {}^{2}  =  \cancel\frac{2307.9}{47.1}}  \\  \\\bold{ \implies \: r {}^{2}  = 49} \\  \\ \bold{\implies \: r = 7 \: ft}

therefore ,

<u>radius </u><u>=</u><u> </u><u>7</u><u> </u><u>cm</u>

hope helpful ~

4 0
2 years ago
Two trains, train A and train B, weigh a total of 251 tons. Train A is heavier than Train B. The difference of their weights is
olga55 [171]
Train A weighs 181 tons and train B weighs 70 tons.
3 0
3 years ago
HELPPP PLSSS 18. A triangle has verticesA(4,3), B(6,9) and C(2, -3). The triangle is rotated 90°
Mariulka [41]

Answer:

  F and H are NOT true

Step-by-step explanation:

Rotation 90° CCW is represented by the transformation ...

  (x, y) ⇒ (-y, x)

Then the rotated coordinates are ...

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  B(6, 9) ⇒ B'(-9, 6) . . . . . quadrant II

  C(2, -3) ⇒ C'(3, 2) . . . . . quadrant I

The rotated figure will be congruent to the original, because rotation is a rigid transformation.

__

Consider the answer choices:

  F: (-3, -4) is A' --- NOT true

  G: triangles are congruent --- true

  H: B is in quadrant III --- NOT true

  J: (3, 2) is the coordinates of C' --- true

Both choices F and H are NOT true.

8 0
3 years ago
Kilometers Walked for Charity
masha68 [24]

Answer:what’s the lowest value?

what’s the highest value?

there is your range

Step-by-step explanation:

3 0
3 years ago
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