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slega [8]
3 years ago
8

-2x-9y=-25, -2x-9y=-23 in elimination method

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0

Answer:

Step-by-step explanation:

    -2x-9y=-25

+   -2x-9y=-23

----------------------

    0 + 0 = -48

          0 = -48

This statement is false, therefore this system has no solution.

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PLS HELP 50 POINTS
PtichkaEL [24]

Answer:

\text{Volume of prism made by }\Delta XYZ=2304\text{ in}^3  

Step-by-step explanation:

Let us assume that both prisms are similar, so we can use proportions to solve for the volume of prism made by triangle XYZ.

Let us find the proportion between the sides of both triangles.

\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{24}{36}

\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{12*2}{12*3}

\frac{\text{Side of triangle XYZ}}{\text{Side of triangle PQR}}=\frac{2}{3}

Since for volume of triangular prism we multiply base area and height of the prism, this means we will have to multiply the proportion of each side length 3 times to find the proportion of volumes between our both prism.

So we can set proportion for volume of both prisms as:

\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=(\frac{2}{3})^3  

\frac{\text{Volume of prism made by triangle XYZ}}{\text{Volume of prism made by triangle PQR}}=\frac{8}{27}

Upon substituting volume of prism made by triangle PQR we will get,

\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{in}^3}=\frac{8}{27}    

Let us multiply both sides of our equation by 7776 cubic inches.

\frac{\text{Volume of prism made by triangle XYZ}}{7776\text{ in}^3}*7776\text{ in}^3=\frac{8}{27}*7776\text{ in}^3

\text{Volume of prism made by triangle XYZ}=8*288\text{ in}^3

\text{Volume of prism made by triangle XYZ}=2304\text{ in}^3  

Therefore, the volume of prism made by triangle XYZ is 2304 cubic inches.

7 0
3 years ago
3.5.PS-26
notsponge [240]

Using a linear function, it is found that the algebraic expression that shows the amount Ms. Jackson will pay for the small truck for the week is:

  • y(m) = 0.6m + 340

<h3>What is a linear function?</h3>
  • A linear function is modeled by:

y = ax + b

In which:

  • a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • He pays an amount per mile, plus a flat weekly fee.
  • Researching the problem on the internet, it is found that the weekly fee for the small truck is of $340, hence b = 340.
  • For each mile, he pays $0.6, hence the slope is of a = 0.6.

Then, the expression is:

y(m) = 0.6m + 340

To learn more about linear function, you can take a look at brainly.com/question/25823744

8 0
3 years ago
A ladder leans against a wall 6 ft above the ground. The base of the ladder is 3 ft from the wall. How long is the ladder?
Igoryamba

Answer:

6.71

Step-by-step explanation:

Hopefully this helps! :)

7 0
3 years ago
Jim tried 2 basketball shots. If the probability of making a shot is 3/4, what is the probability of making both shots?
Travka [436]

The probability of making the first shot is 3/4 .

The probability of making the second shot is 3/4 .

The probability of making both shots is (3/4) x (3/4) = <em>9/16</em> = 56.25 %


5 0
3 years ago
Read 2 more answers
Write the equation of the line in slope intercept form. (Algebra 2) Thanks in advance.
Rama09 [41]
Y-6=-6(x+5)

y-6=-6x-30

y=-6x-24 is the answer
8 0
3 years ago
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