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2 years ago

Plases help Determine the number of solutions of each system of equations.

Mathematics

1 answer:

koban [17]2 years ago

5 0

Answer:

Step-by-step explanation:

this is the same equation, the system has infinitely many solutions

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Keenan has 8 coins worth $0.70. If the coins are all dimes and nickels, how many dimes and nickels does he have?

Nookie1986 [14]

6 dimes and 2 nickels = 0.70

3 0

2 years ago

Y = 2x + 6<br> 2y = 4x + 12<br> are they one solution

pogonyaev

Answer:

6 + 2x

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Find the volume of the rectangular prism.<br> 9 cm<br> 9 cm<br> 9 cm

cricket20 [7]

Answer:

$3672 cm^3$

Step-by-step explanation:

There is a typo in the question, the lengths of the sides of the prism are:

24 cm

9 cm

17 cm

(otherwise, if all sides were 9 cm, it would be a cube, not a prism)

The volume of a rectangular prism is given by:

$V=l\cdot w\cdot h$

where:

l is the length of the prism

w is the width of the prism

h is the height prism

In this problem,

$l=24 cm$ (length)

$w=9 cm$ (width)

$h = 17 cm$ (height)

Therefore, the volume of the prism is:

$V=24\cdot 9 \cdot 17 = 3672 cm^3$

3 0

2 years ago

WORTH 20 POINTS HELP

vfiekz [6]

Below represents the proof that the quadrilateral QRST is a parallelogram

<h3>How to prove that QRST is a parallelogram?</h3>

The coordinates are given as:

Q = (-1,-1)

R = (2,9)

S = (-4,5)

T = (-7,-5)

Calculate the length of each side using:

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

So, we have:

$QR = \sqrt{(-1 - 2)^2 + (-1 -9)^2} = \sqrt{109}$

$RS = \sqrt{(-4 - 2)^2 + (5 - 9)^2} = \sqrt{52}$

$ST = \sqrt{(-7 + 4)^2 + (-5 - 5)^2} = \sqrt{109}$

$TQ = \sqrt{(-7 + 1)^2 + (-5 + 1)^2} = \sqrt{52}$

The above computations show that opposite sides are equal.

Next, we determine the slope of each side using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

So, we have:

$QR = \frac{9 + 1}{2 + 3} = \frac{10}3$

$RS = \frac{5-9}{-4 - 2} = \frac{2}3$

$ST = \frac{5+5}{-4 + 7} = \frac{10}3$

$TQ = \frac{-5+1}{-7 + 1} = \frac{2}3$

The above computations show that opposite sides are parallel, because they have equal slope

Hence, the quadrilateral QRST is a parallelogram