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Pavel [41]
3 years ago
10

Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and

(–12, –9). He writes the equation. 7x – 10y = 3. Is this a good model? Explain your reasoning.
Mathematics
2 answers:
melamori03 [73]3 years ago
6 0
Use slope formula to find slope <span><span><span>−9−5</span><span>−/12−8</span></span>=<span><span>−14/</span><span>−20</span></span>=<span>7/10</span></span> 7/10 = m = slope  
y= mx + b
y= (7/10)x + b
(8,5)
(5) = (7/10)(8) + b
b = -3/5

So.... <span>y=(<span>7/10)</span>x −<span>35

</span></span> multiply by 10

<span>10y=7x−6</span><span> --> -7x + 10y = -6
 --> 7x - 10y = 6
 So, if 7x - 10y = 3 a good model?</span>
miskamm [114]3 years ago
6 0

Answer:

If the model is good, then both points will check in the equation. Substituting 8 for x and 5 for y in the equation results in 56 – 50 = 3, which is not true. Therefore, the model is not good. Using (–12, –9) as a check results in –84 + 90 = 3. The constant value in the equation should be 6, not 3. In slope-intercept form, the y-intercept should be –3/5. Hope this helps!!! :)

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Ok I have to make multiple questions since the max amount of attachments is 5 but this is the first one.
Pie

Answer:

All answers are down below!

Step-by-step explanation:

PAGE 1

22.) -10x - 2y = 20 (add 10x on both sides)

-2y = 10x + 20 (divide by -2 on both sides)

y = -5x - 10

Neither because perpendicular lines have opposite reciprocal and opposite sign. This equation only has opposite sign. It's not parallel because parallel lines have the same slope, and this equation doesn't.

23.) <1 = 138 b/c 180 -42

<2 = 42 b/c vertical to the angle measured 42

<3 = 138 b/c it's vertical to <1 and vertical angles have the same measure

<4 = 42 b/c it is an alternate interior angle to <2

<5 = 90 b/c vertical to <8

<6 = 48 b/c <4 + <5 + <6 = 180 and 42 + 90 + 48 = 180

<7 = 42 b/c it is vertical to <4 which also has a measure of 42

<8 = 90 b/c it is same side interior to <10 which has a measure of 90 degrees

<9 = 48 b/c <7 + <8 = 132 and 180 -132 = 48

<10 = 90 b/c it is a linear pair with the right angle and a right angle equals 90 degrees

PAGE 2

1.) PQ, QR, and NR

2.) ML, NP, and RQ

3.) KL, JM, JN, and KP

4.) corresponding angles

5.) alternate interior angles

6.) alternate exterior angles

7.) interior consecutive angles or same side interior angles

PAGE 3

9.) Q'(5, -4) R'(5, -2) S'(1, -3) because (x, y) ----> (-x, y)

10.) J'(3, 5) I'(1, 1) H'(3, 1) G'(4, 5) b/c (x,y) -----> (x, -y)

11.) E'(1, -4) F'(0, -2) G'(-3, -5) b/c (x,y) -----> (-x, y)

12.) J'(1, 2) K'(-1, -3) L'(4, -2) M'(3, 3) b/c (x,y) -----> (x, -y)

13.) Y'(-4, 1) X'(-3, 4) W'(-4, 5) b/c (x,y) -----> (y, x)

14.) J'(-3, 3) I'(5, 2) H'(-5, 1) G'(0, -1) b/c (x,y) ----> (-y, -x)

15.) H'(-2, 5) G'(2, 2) F'(3, 4) b/c (x,y) ------> (x, -y)

16.) U'(-2, -1) V'(0, 2) W'(-3, 4) b/c (x,y) ------> (y, x)

PAGE 4

17.) 3x - 43 = 80 (add 43 on both sides) --> 3x = 123 (divide by 3 on both sides) --> x = 41

18.) 8x - 6 = 90 (add 6 on both sides) ---> 8x = 96 (divide by 8 on both sides) --> x = 12

19.) 15x - 5 + 11x + 3 = 180 (collect like terms) --> 26x -2 = 180 (add 2 on both sides) ---> 26x = 182 (divide by 26 on both sides) --> x = 7

20.) To find slope use y2-y1/x2-x1

PLUG IN

2 - -5/ -1 - -5 =

7/4 since parallel lines have the same slope line b would also have a slope of 7/4.

21.) x + 3y = 2 (subtract x on both sides) ---> 3y = -x + 2 (divide by 3 on both sides)

y = -1/3x + 2/3. The lines are perpendicular because their slopes have opposite reciprocals and opposite signs.

PAGE 5

8.) 4x - 9 + 75 = 180 (collect like terms) --> 4x + 66 = 180 (subtract 66 on both sides) -----> 4x = 114 (divide by 4 on both sides) x = 28.5

9.) 7x + 2 = 65 (subtract 2 on both sides) --> 7x = 63 (divide by 7 on both sides) --> x =9

10.) Corresponding angles

11.) <7

12.) consecutive interior angles or same side interior angles

13.) <9

14.) Line C

15.) c || d

16.) a || b

Hope this helps you!!

4 0
2 years ago
Please help, I will give brainliest to best answer
Maru [420]

Answer: corn flour

Step-by-step explanation:

WF: 12.5/5 =2.5 per pound

RF: 24/8 = 3 per pound

CR: 33.75/15 = 2.25 per pound

SF: 55.2/24=2.4 per pound

4 0
2 years ago
3 true?<br> For what value of x is the equation<br> 2-3<br> - +4<br> À<br> B. 3<br> C. 9<br> D. -15
noname [10]

Answer:

3

Step-by-step explanation:

2 -3 = -1 + 4 = 3

4 0
3 years ago
Can someone help me ?
lozanna [386]

Answer:

10 > v (if you don't trust me, check it yourself. Subsitute v for 10 in the first equation.

Step-by-step explanation:

1) 7 > v - 3

2) add 3 to both sides

3) so 7 plus 3 equals 10

So you basically do this

7 > v - 3 (ad 3 to both sides)

You get 10 > v (which is as simplified as possible)

Hope this helps! :)

8 0
3 years ago
4x^2-5x=0 <br> Help me pls!!!!!
matrenka [14]
The answer to this is: x = 0, 5/4
8 0
3 years ago
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