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2 years ago

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David told Jen, "Write three two-digit numbers. I'll add three more and give you the sum right away." Jen wrote 53, 42, and 31.

Then David wrote 46, 57, and 68 and said the sum was 297. Was he right? What pattern did he use?

1 answer:

alina1380 [7]2 years ago

8 0

He is correct. The pattern is -11,-11+15,+11 and +11

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Identify which line from the graph the following right triangles could lie on.

qaws [65]

Answer:

Step-by-step explanation:

Slope of line A = $\frac{\text{Rise}}{\text{Run}}$

= $\frac{9}{3}$

= 3

Slope of line B = $\frac{9}{6}$

= $\frac{3}{2}$

Slope of line C = $\frac{6}{8}$

= $\frac{3}{4}$

5). Slope of the hypotenuse of the right triangle = $\frac{\text{Rise}}{\text{Run}}$

= $\frac{90}{120}$

= $\frac{3}{4}$

Since slopes of line C and the hypotenuse are same, right triangle may lie on line C.

6). Slope of the hypotenuse = $\frac{30}{10}$

= 3

Therefore, this triangle may lie on the line A.

7). Slope of hypotenuse = $\frac{18}{24}$

= $\frac{3}{4}$

Given triangle may lie on the line C.

8). Slope of hypotenuse = $\frac{21}{14}$

= $\frac{3}{2}$

Given triangle may lie on the line B.

9). Slope of hypotenuse = $\frac{36}{24}$

= $\frac{3}{2}$

Given triangle may lie on the line B.

10). Slope of hypotenuse = $\frac{48}{16}$

= 3

Given triangle may lie on the line A.

7 0

2 years ago

The volume of a rectangular prism is represented by the function x3 + 11x2 + 20x – 32. The width of the box is x – 1 while the h

Oksi-84 [34.3K]

we know that

the volume of a rectangular prism is equal to

$V=L*W*H$

where

L is the length of the box

W is the width of the box

H is is the height of the box

in this problem we have

$V=x^{3\ }+11x^2+20x-32$

$W=x-1$

$H=x+8$

$L=?$

<u>Find the length of the box</u>

Using a graph tool-------> we will determine the roots of the equation of volume

see the attached figure

the roots are

$x=-8\\x=-4\\ x=1$

so

$x^{3\ }+11x^2+20x-32=(x+8)*(x+4)*(x-1)$

therefore

<u>the answer is</u>

the length of the box is equal to $(x+4)$

8 0

2 years ago

Read 2 more answers

Which statement is NOT true? A. All isosceles triangles are also equilateral triangles. B. All equilateral triangles are also is

Alecsey [184]

Hello there!

The statement that would NOT be true would be option A. All isosceles triangles are also equilateral triangles. The rest of the statements would be TRUE.

Hope this helps and have a great day! :)

5 0

3 years ago

Help please , 20 points

alex41 [277]

The top-left one because 3ba is the same as 3ab

8 0

2 years ago

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A garden table and a bench cost $950 combined. The garden table costs $50 more than the bench. What is the cost of the bench?

snow_lady [41]

950 - 50 = 900
900 / 2 = 450
The bench cost $450 and the garden table cost $500
Your answer is $450
Hope this helps!

3 0

2 years ago

Read 2 more answers