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charle [14.2K]
3 years ago
9

Please help me on this question. First to answer will be the brainliest :D

Mathematics
1 answer:
motikmotik3 years ago
4 0

Answer:

t=−7

Step-by-step explanation:

FIRST

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Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)?
Nuetrik [128]

Answer:

<em>First option: </em> f(x)=-\frac{2}{3}x-11

Step-by-step explanation:

Given the point-slope equation y+7=-\frac{2}{3}(x+6), you need to solve for y, because you are looking for the equation of the line in slope-intercept form:

y=mx+b

Being m the slope of that line, and b the intersection of the line with the y-axis.

Then:

Apply Distributive property:

y+7=-\frac{2}{3}x-4

Subtract 7 from both sides:

y+7-(7)=-\frac{2}{3}x-4-(7)\\y=-\frac{2}{3}x-11

Rewrite the equation:

f(x)=-\frac{2}{3}x-11 (The linear function of the First option)

3 0
4 years ago
Read 2 more answers
Y=-x^2+2x+10<br> y=x+2<br><br> Substitution<br> Need ASAP
aniked [119]

Answer:

x_1=\frac{1+\sqrt{33} }{2},y_1=\frac{5+\sqrt{33} }{2}\\ \\ x_2=\frac{1-\sqrt{33} }{2},y_2=\frac{5-\sqrt{33} }{2}

Explanation:

You must find the solution of the system using the substitution method.

System:

y=-x^2+2x+10\\\\ y=x+2

Substitute x+2 for y:

x+2=y=-x^2+2x+10

Pass all the terms to one side:

x^2-2x+x+2-10\\ \\ x^2-x-8=0

Use the quadratic formula to solve:

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\ \\ x=\frac{-(-1)+/-\sqrt{(-1)^2-4(1)(-8)} }{2(1)}\\ \\ x=\frac{1+/-\sqrt{1+32} }{2}

x_1=\frac{1+\sqrt{33} }{2}\\ \\x_2=\frac{1-\sqrt{33} }{2}

Use y = x  + 2 to find the value of y:

y_1=2+x_1=2+\frac{1+\sqrt{33} }{2}\\ \\y_1=\frac{5+\sqrt{33} }{2} \\\\y_2=2+x_2=2+\frac{1-\sqrt{33} }{2}\\ \\ y_2=\frac{5-\sqrt{33} }{2}

6 0
3 years ago
A Straight fence is to be Constructed from post 6 inches wide by which are Separated by Chain link sections that are 4 feet long
andrew11 [14]

Answer:

any length less then 5 ft

6 0
4 years ago
Find the function f (x) =ax2 + bx+ c whose graph contains the points (1, 2), (-2,-7), and (2, -3). Write the system of equations
yan [13]

what grade you r?????....

3 0
3 years ago
Time (minutes)
damaskus [11]

Answer:    The extra-size chart

  • 5 basketball
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  • 5 running
  • 3 jogging
  • 4 jumping jacks
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Step-by-step explanation:

4 0
3 years ago
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