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stich3 [128]
3 years ago
9

Which ordered pair is a solution of the equation?

Mathematics
1 answer:
DedPeter [7]3 years ago
5 0

9514 1404 393

Answer:

  B. only (-2, 9)

Step-by-step explanation:

A graph of the equation makes it easy to see that (-2, 9) is a solution and (2, -9) is not.

You can try these values of x in the equation to see what the corresponding y-values are.

  y = -2{-2, 2} +5 = {4, -4} +5 = {9, 1}

Points on the line are (-2, 9) and (2, 1).

(2, -9) is not a solution.

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eimsori [14]
Oof... you will need 46,656 to get all 6 prizes .... Throw a die.
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5 0
3 years ago
Write a number or expression in each blank space to create true equations.
Rina8888 [55]

Answer:

7(3+5)=7(3)+7(5)\\15-10=5(3-2)

Step-by-step explanation:

Both expressions are examples of the <em>distributive property</em>, which basically says "if I have <em>this </em>many groups of some size and <em>that</em> many groups of the same size, I've got <em>this </em>+ <em>that</em> groups of that size altogether."

To give an example, if I've got <em>3 groups of 5 </em>and <em>2 groups of 5</em>, I've got 3 + 2 = <em>5 groups of 5 </em>in total. I've attached a visual from Math with Bad Drawings to illustrate this idea.

Mathematically, we'd capture that last example with the equation

5(3)+5(2)=5(3+2). We can also read that in reverse: 3 + 2 groups of 5 is the same as adding together 3 groups of 5 and 2 groups of 5; both directions get us 8 groups of 5. We can use this fact to rewrite the first expression like this: 7(3+5)=7(3)+7(5).

This idea extends to subtraction too: If we have 3 groups of 4 and we take away 1 group of 4, we'd expect to be left with 3 - 1 = 2 groups of 4, or in symbols: 4(3)-4(1)=4(3-1)=4(2). When we start with two numbers like 15 and 10, our first question should be if we can split them up into groups of the same size. Obviously, you could make 15 groups of 1 and 10 groups of 1, but 15 is also the same as <em>3 groups of 5</em> and 10 is the same as <em>2 groups of 5</em>. Using the distributive property, we could write this as 15-10=3(5)-2(5)=5(3-2), so we can say that 15-10=5(3-2).

4 0
3 years ago
Help? y - intercepts <br> What is the y-intercept of the equation 2x + 3y = 12?
Nookie1986 [14]

Answer:

2x + 3y = 12 Is the standard form for linear equations. To determine the slope, solve the equation for y in order to convert to the slope - intercept from7 y = mx + b where is m the slop and b is the y - intercept.

2x + 3y = 12

subtract 2x from both sides.

3y = -2x + 12

Divide both sides by 3.

y= - 2/3 x + 12/3 =

y= - 2/3x + 4

The slope is - 2/3

5 0
3 years ago
The sum of two numbers is 44 . One number is 3 times as large as the other. What are the numbers?
Sonja [21]

Answer:

11 and 33

Step-by-step explanation:

The the smaller number be x. Since the other number is 3 times as large as the other, we can represent the large number as 3x. Because they add up to 44, we have the following equation:

x+3x=44

Combine like terms:

4x=44

Divide both sides by 4:

x=\frac{44}{4}=\boxed{11}

Substitute x=11 into 3x to find the larger number:

11\cdot 3=\boxed{33}

Therefore, the two numbers are 11 and 33.

3 0
2 years ago
Read 2 more answers
I NEED HELP PLEASE!! Does anyone understand this??
Contact [7]

Answer: 44.4

Step-by-step explanation:

We are asked to find angle V, so we are going to use our trig ratios to explain this one. They have given us the side opposite of angle v and the hypotunse. angle v. so we are going to be using sine. . SOHCAHTOA.  

First, let use the ratio for sine \frac{opp}{hypo\\} which equal to \frac{7}{10}

then we are to take the arcsine or the sine inverse because we are trying to the angle measure not side length. (sin^{-1}(7/10) which gives us 44.4

6 0
3 years ago
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