Help pleaseWhich equations in point-slope form are equations of the line that passes through the point (−7, 5) and (−4, 1)?

Choose exactly two answers that are correct.

A.y-7= -3/4(x+5)

B.y-5= -4/3(x+7)

C.y+4= -3/4(x+1)

D.y-1= -4/3(x+4)

Answers

Answer 1

Answer: $General\ equation\ for\ line\ in\ slope\ intercept\ form:\n\ny=ax+b\n\nTo\ find\ a\ and\ b\ substitude\ points\ (-7,5)\ (-4,1)\ into\ equation\n\n \left \{ {{5=-7a+b}\ \ \ \ \atop {1=-4a+b\ |*-1}} \right.\n\n \left \{ {{5=-7a+b}\ \ \ \ \atop {-1=4a-b}} \right.\n\n+----\n\nAddition\ method\n\n4=-3a\ \ |:(-3)\n\na=-(4)/(3)\n\nb=5+7a=5+7*(-(4)/(3))=5-(28)/(3)=-4(1)/(3)\n\Answer\ y=-(4)/(3)x-4(1)/(3)\n\nChecking\ solution:\ny-5=-(4)/(3)(x+7)$ $y-5=-(4)/(3)x-(28)/(3)\n\ny=-(4)/(3)x-(28)/(3)+5\n\ny=-(4)/(3)x-4(1)/(3)\n\nAnswer:B \ and\ D.$

Answer 2

Answer: an easy way to do it is subtituet (-7,5) and (-4,1) into the equations and find out which ones check. remember (x,y)

so A
if we try (-7,5)
5-7=-3/4(-7+5)
we can immediately see that -2 is not equal to -3/4(-2)
so A is wrong

B
if we try (-7,5)
5-5=-4/3(-7+7)
0=-4/3(0)
0=0
so B is correct

C
if we try (-7,5)
5+4=-3/4(-7+1)
9=-3/4(-6)
9 is not equal to 18/4
so C is wrong

D
if we try (-7,5)
5-1=-4/3(-7+4)
4=-4/3(-3)
4=12/3
4=4
D is correct

If you wanted to try the second point (-4,1) in B and D
B
1-5=-4/3(-4+7)
-4=-4/3(3)
-4=-12/3
4=4
B is still correct

D
1-1=-4/3(-4+4)
0=-4/3(0)
0=0
D is still correct

so the answers are B and D

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Simplify .
7g - 12 = 3 + 7/3g

Answers

Hey there, first we simplify, 7g-12=7/3G+3, second, we subtract 7/3G from both sides, 7g-12-7/3g=7/3G+3-7/3g=14/3g-12=3, third, we add 12 to both sides, 14/3g-12+12=3+12=14/3g=15, now, we multiply both sides by 3/14, 3/14*14/3g=3/14*15=g=45/14. Therefore, the answer is g=45/14

Which fractions are greater than -5/12 ? Choose exactly two answers that are correct. A. -5/11
B. -3/8
C.-4/9
D. -1/4

Answers

B is the answer because when you find the common denominator. B will turn into -9/24 and -5/12 is going to be -10/12
~JZ

-7 (z-6)=-70 what is z

Answers

If you would like to solve the equation - 7 * (z - 6) = - 70, you can calculate this using the following steps:

- 7 * (z - 6) = - 70
- 7 * z + 7 * 6 = - 70
- 7 * z = - 70 - 42
- 7 * z = - 112
7 * z = 112 /7
z = 112/7
z = 16

The correct result would be 16.

Z=16 If you want you can plug it in. 16-6=10 10*-7 =-70 Therefore, Z will equal 16

Renn has a 36-cm scarf. He decides to cut off part of thescarf so it is now only 19 cm.
How many centimeters did Renn cut off of his scarf?
cm

Answers

Answer:

17 cm

Step-by-step explanation:

Since initially the scaff was 36 cm but Renn cuts x cm so that the remaining portion is 19 cm, we can express it mathematically as shown

36-x=19

To find the value of x

36-19=x

X=17 cm

Please help ASAP with math question?

Answers

Answer:

D. $11$

Step-by-step explanation:

If the average rate of change on the interval [2,6] is 15 then;

$(f(2)-f(6))/(2-6)=15$

$(f(2)-71)/(-4)=15$

Multiply both sides by -4.

$f(2)-71=15* -4$

$f(2)-71=-60$

Group similar terms;

$f(2)=-60+71$

Simplify;

$f(2)=11$

Answer:

Choice D

Step-by-step explanation:

The average rate of change over the interval [2,6] is simply the slope of the line that joins the points (2,f(2)) and (6,f(6)). To determine f(2) we shall thus be solving the equation;

$(f(6)-f(2))/(6-2)=15\n(71-f(2))/(4)=15\n71-f(2)=60\nf(2)=71-60=11$

What is the measure of each interior angle does a polygon have if the sum of its interior angles is 1800°?

Answers

$\underset{in~degrees}{\textit{Sum of All Interior Angles}}\n\n S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\n[-0.5em] \hrulefill\n S=1800 \end{cases}\implies 1800=180(n-2)\implies \cfrac{1800}{180}=n-2 \n\n\n 10=n-2\implies 12=n \n\n[-0.35em] ~\dotfill$

$\underset{in~degrees}{\textit{Sum of All Interior Angles}}\n\n n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\n \theta = \stackrel{degrees}{angle}\n[-0.5em] \hrulefill\n n=12 \end{cases}\implies 12\theta =180(12-2) \n\n\n 12\theta =1800\implies \theta =\cfrac{1800}{12}\implies \boxed{\theta =150^o}$