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4 years ago

How many solutions will this system of equations have? y = 3.5x - 3.5 y = -3.5x + 3.5

1 answer:

8 0

If we sum these 2 equations we will get:
2y = 0 -> y = 0

Now we replace y=0 in any of 2 equations to solve for x:

0 = 3.5x - 3.5
3.5 = 3.5x
x=1

That means that there is only 1 solution and that one is (1,0)

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Find the distance between points p (5, 1) and q (3,4)

DENIUS [597]

Answer:

D=3.60

Step-by-step explanation:

$D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Where

$(x_1,y_1) = (5,1)$

$(x_2,y_2) = (3,4)$

Replacing these values in the distance formula

$D =\sqrt{(5-3)^2+(1-4)^2}$

$D =\sqrt{(2)^2+(-3)^2}$

$D =\sqrt{4+9}$

$D =\sqrt{13}$

$D= 3.60$

4 0

3 years ago

A prism with a triangular base has a volume of 432 cubic feet. The height of the prism is 8

Rashid [163]

Answer:

9 feet

Step-by-step explanation:

Given:

A prism with a triangular base has a volume of 432 cubic feet.

The height of the prism is 8.

The triangle base has a base of 12 feet.

Question asked:

The height of the triangular base of the prism = ?

solution:

Volume of triangular prism = $Area of triangle \times height$

$432 = Area of triangle \times8$

Dividing both side by 8

$54 = Area of triangle$

$54 =$ $\frac{1}{2} \times base \times height$

$54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height$

Multiplying both side by 2

$108 = 12 \times height$

Dividing both side by 12

$9 = height$

Thus, height of the triangular base of the prism is 9

3 0

3 years ago

Order from least to greatest 0.5, 1/5, 0.35, 12/25, 4/5

sdas [7]

First change them all into either fractions or decimals. Decimals are probably easier though. 1/5 = 0.2; 12/25 = 0.48; 4/5 = 0.8
Order: 0.2, 0.35, 0.48, 0.5, 0.8
Then you change the decimals that you converted back into the fraction form
Answer: 1/5, 0.35, 12/25, 0.5, 4/5

5 0

3 years ago

There are how many chromosomes in a human zygote? Question 4 options: 42 46 48 64.

irina [24]

Answer:

the answer is 46.

Step-by-step explanation:

see answer.

4 0

3 years ago

When Ms.Sugar turned on her oven, the temperature inside was 70 degrees. The temperature began to rise at a rate of 20 degrees p

zavuch27 [327]

It took 14 minutes
70 degrees +(14minutes times 20degrees) = 350 degrees.
:)

3 0

4 years ago

Read 2 more answers