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sp2606 [1]
3 years ago
11

Find the slope of the line graphed in the diagram and choose the correct answer from the choices below. The two intercepts are (

0,3) and (-2.5,0)

Mathematics
1 answer:
kolezko [41]3 years ago
5 0

1.2 is the slope of the line graphed in the given diagram

<u>Step-by-step explanation:</u>

We can use the given points (0, 3) and (-2.5, 0) to solve.

Slope formula is given by

             \text { slope, } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Given two intercepts:

\left(x_{1}, y_{1}\right)=(0,3) \text { and }\left(x_{2}, y_{2}\right)=(-2.5,0)

By substituting these in the slope equation, we get

     \text { slope, } m=\frac{0-3}{-2.5-0}=\frac{-3}{-2.5}=\frac{3}{2.5}=1.2

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A company makes a block of cheese in the shape of a rectangular prism with dimensions 4 inches by 2 inches by 2 inches. They wan
Art [367]

Answer:

Step-by-step explanation:

pyramid has a height of 5 inches and a volume of 60 cubic inches. Select all figures that could be the base for this pyramid.

A:

a square with side length 6 inches

B:

a 3 inch by 4 inch rectangle

C:

a 4 inch by 9 inch rectangle

D:

a circle with radius 4 inches

E:

a right triangle with one side 5 inches and the hypotenuse 13 inches

F:

a hexagon with an area of 36 square inches

8 0
3 years ago
Use the given graph to determine the limit, if it exists. (4 points)
skelet666 [1.2K]
<h3>Answer:  3</h3>

Explanation:

Refer to the graph below. It should be similar to what your teacher gave you, based off the description.

Since we're approaching 3 from the right side, this means we'll be working with the horizontal line portion. We could start at something like x = 3.2 and move closer to 3 by getting to x = 3.1 then x = 3.01 then x = 3.001 and so on. We never actually get to 3 itself.

As x gets closer to 3 from this direction, the y values are approaching 3 since every point on this horizontal line has the same y coordinate. Technically the y value is already at 3, but it's the same idea.

In terms of notation, we can write \displaystyle \lim_{x\to3^{+}}f(x) = 3

The portion x \to 3^{+} means we're approaching 3 from the positive side, aka the right hand side on the number line.

8 0
2 years ago
A chemistry teacher needs to mix a 20% salt solution with an 80% salt solution to make 20 qt of a 40% salt solution. How many qu
Svetlanka [38]

Answer:

  • 6 2/3 qt 80%
  • 13 1/3 qt 20%

Step-by-step explanation:

It is often convenient to solve a mixture problem by letting a variable represent the quantity of the higher-concentration contributor to the mix.

__

We can let x represent the number of quarts of 80% solution needed. Then (20-x) is the number of quarts of 20% solution needed. The amount of salt in the final mix is ...

  0.80x +0.20(20-x) = 0.40(20)

  0.60x = 0.20(20) . . . . . . . . subtract 0.20(20) and simplify

  x = 20/3 = 6 2/3 . . . . . . . . . divide by 0.60; quarts of 80% solution

  (20 -x) = 13 1/3 . . . . . . . . . . amount of 20% solution needed

The teacher should mix 6 2/3 quarts of 80% solution with 13 1/3 quarts of 20% solution.

3 0
2 years ago
Please help me with this
sergij07 [2.7K]

Answer:

x=8

Step-by-step explanation:

The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.

The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.

3 0
3 years ago
One angle measure in an acute triangle is 38°. What could the measure of one of the other angles be?
Oksi-84 [34.3K]
If is an acute triangle, all the angles should be acute angles.
180-38=142°
142-69=73°
So your answer is 69°, lovely~
3 0
3 years ago
Read 2 more answers
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