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Neko [114]
3 years ago
15

A pair of linear equations is shown below: y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to so

lve the pair of equations graphically? (4 points) On a graph, find the point of intersection of two lines, the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1. On a graph, find the point of intersection of two lines, the first line has y-intercept = −3 and slope = 5, and the second line has y-intercept = 1 and slope = 2. On a graph, find the point of intersection of two lines, the first line has y-intercept = −5 and slope = 3, and the second line has y-intercept = −2 and slope = −1. On a graph, find the point of intersection of two lines, the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2.​
Mathematics
1 answer:
Helga [31]3 years ago
7 0
For a question this long please offer more points
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A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an
Snowcat [4.5K]

Answer:

\cos\theta=\frac{10}{\sqrt{116}}

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

\cos\theta is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let c represent the length of the hypotenuse):

10^2+4^2=c^2

100+16=c^2

116=c^2

c=\sqrt{116}

Thus, we know the adjacent is 10, and the hypotenuse is \sqrt{116}. This means \cos\theta=\frac{10}{\sqrt{116}}.

Hope this helps!

5 0
3 years ago
Which of the following statements is not true of deductive reasoning? It is used when you solve an equation in algebra. It is us
erastova [34]

<u>Answer:</u>

"It is used when you solve an equation in algebra" is the untrue statement.

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

"It is used when you solve an equation in algebra."

When you solve an algebra problem, you are not using deductive reasoning. You are using the information in front of you to correctly answer.

"It is used to make broad generalizations using specific observations."

This is exactly what deductive reasoning is, you are making generalizations and coming up with your own conclusions through observation.

"It is used to prove basic theorems."

This is also true, you can use deductive reasoning by using your specific observations and drawing conclusions to prove the theorems.

"It is used to prove that statements are true."

Using your own observations, you can draw your own conclusions to prove what you are saying is factual.

6 0
3 years ago
☺
Fittoniya [83]

Answer: 1  teashirt=7 L

               1 hat= 3L

Step-by-step explanation:

2 T shirts= 31 -  17

2 T shirts= 14

1 T shirt=14/2

1 T = 7 L

14L+ 1H=17 L

one hat = 17 - 14=3 L

8 0
3 years ago
Anyone knows the answer?
SIZIF [17.4K]
Asa. angle side angle.
7 0
3 years ago
A die is rolled, what is the probability of getting an even number or a 3?
ruslelena [56]

Hello!

possibility : 2,3,4,6

4/6 = 2/3

Good luck!

7 0
3 years ago
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