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Yuki888 [10]
3 years ago
11

Which of the following statements best describes the graph of −5x + 2y = 1?

Mathematics
2 answers:
Nina [5.8K]3 years ago
5 0

First, we determine that the given equation in this item is a linear equation. Thus, it should be a straight line. With this, we are left with the third and fourth choice. Then, we substitute the given data points to the equation and see if the points satisfy the given.

Choice 3:

<span>            (1,3)   :    (-5)(1) + (2)(3) = 1   TRUE</span>

<span>            (3,8)   :    (-5)(3) + 2(8) = 1      TRUE</span>

<span>            (-3,-7) :    (-5)(-3) + (2)(-7) = 1 TRUE</span>

 

Choice 4:

<span>            (4,-3)  :  (-5)(4) + (2)(-3) ≠ 1     FALSE</span>

<span>            (-1,2)   : (-5)(-1) + (2)(2) ≠ 1     FALSE</span>

<span>            (-4,5)   : (-5)(-4) + (2)(5) ≠ 1    FALSE</span>

 

<span>Thus, the answer is the third choice.</span>

pshichka [43]3 years ago
3 0

Answer:

It is a straight line joining the points (1, 3), (3, 8), and (−3, −7).

Step-by-step explanation:

because I used a website called Desmos, and the line was not curved, but it was a straight line and the Point of each of these answers that it touched was (1,3), (3,8), and (-3,-7)

I hope that this helps you.

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2. The volume of both of these trapezoidal prisms is 24 cubic units. Their
Valentin [98]

Answer:

area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively

Step-by-step explanation:

Let us first be aware of formula of volume for any regular geometrical figure.

Fundamental formula for  volume for any regular geometrical figure is.

volume = area of cross section of object*  height of object (A)

In the problem stated area of cross section of object will be  area of a trapezoidal base.

Given in the question is

Volume of both the trapezoidal prisms = 24 cubic units

*************************************************************************************

For prism with height 6 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 6 * area of a trapezoidal base

=> area of a trapezoidal base = 24/6 = 4 square units

*************************************************************************************

For prism with height 8 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 8 * area of a trapezoidal base

=> area of a trapezoidal base = 24/8 = 3 square units

*************************************************************************************

Therefore area of a trapezoidal base  of each prism with heights  6 and 8 units are 4 square units and 3 square units respectively.

4 0
3 years ago
The temperature went from -12°F to 18°F. How much did the temperature change
vlada-n [284]

Answer:

18 - (-12)

Step-by-step explanation:

Final temp. - Initial temp. = the change in temperature

By -12, we're indicating that is below zero (which is obvious) meaning that it is not in the "normal" scale nor in the imaginary scale of numbers. So, we can operate the following...

18 - (-12) = 30

So the temperature changed by 30 values or the temperature increased by 30 values, because the number is positive.

6 0
3 years ago
Evaluate. 72 - 3 + 9 × 8 ÷ 2 w =
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

Request of activities so increase then division, at that point deduction and expansion.  

9*8 = 72  

72/2 = 36  

72-3 = 69  

69+36 = 105

Another way of saying it is:

Utilize the request for tasks to improve on mathematical articulations. The request is brackets, types and roots, augmentation and division, expansion and deduction. Duplication and division are "something similar" so you would utilize the first that happens from left to right.  

Bit by bit clarification:  

7^2 - 3 + 9 x 8 ÷ 2  

49 - 3 + 9 x 8 ÷ 2  

49 - 3 + 72 ÷ 2  

49 - 3 + 36  

49 - 39  

W=10  

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6 0
3 years ago
Read 2 more answers
Round the following as specified.<br> to the nearest thousandth
xenn [34]

Answer:

153.385

Step-by-step explanation:

After the dot it goes tenths,hundreds, then thousands

Image:

7 0
2 years ago
Ryan and Allison want to build a ramp to help their elderly cat, Simms, walk up the bed. They
Harman [31]

Answer:

Step-by-step explanation:

7 0
2 years ago
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