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Inga [223]
1 year ago
12

What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (4, 2)? Sh

ow all necessary steps.
Mathematics
1 answer:
BaLLatris [955]1 year ago
4 0

The equation of the line is y = -x + 6 if the passes through the point (4, 2).

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

From the graph:

The slope of the line g = (0-5)/(-5-0)

= 1

The slope perpendicular to the line g:

= -1

y - 2 = -(x - 4)

y - 2 = -x + 4

y = -x + 6

Thus, the equation of the line is y = -x + 6 if the passes through the point (4, 2).

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

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Graph each circle given below right the center and the radius of each circle
Paraphin [41]

Answer:

Center: (-1,8)

Radius: 1

The graph is attached.

Step-by-step explanation:

The equation of the circle has the form:

(x -h)^{2}+(y-k)^{2}=r^{2}

Where (h,k) is the  point of the center of the circle and r is the radius of the circle.

The equation given in the problem is

(x +1)^{2}+(y-8)^{2}=1

 Therefore:

h=-1

k=8

 Then, the center is (-1,8) and radius is 1.

You can graph the circle with its center at the (-1,8) and a radius of 1 as you can see in the figure attached.

4 0
3 years ago
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PLEASE HELP ITS A TEST<br> Solve for x : - 1/2 (x + 3) - 10 = -6.5
Ksju [112]

Answer hey:

Step-by-step explanation:

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2 years ago
The perimeter of an equilateral triangle is 21cm, find its length
Margarita [4]

Answer:

7cm is the length for each side of an equalateral triangle

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3 years ago
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Ann car can go 117 miles on 3 gallons of gas. During a drive last weekend, Ann used 8 gallons of gas. How far did she drive?
Nitella [24]

Answer:

Ann drove 312 miles in 8 gallons.

Step-by-step explanation:

Distance covered by Ann's car = 117 miles

Gallons of gas spent by Ann's car to cover 117 miles = 3 gallons

Unit rate = 117 miles / 3 gallons

               = 39 miles per gallon

so Ann's car can go 39 miles in one gallon of gas.

  • Given that Ann used 8 gallons of gas.

Therefore,

Distance covered by Ann's car in 8 gallons = 39 × 8

                                                                         = 312 miles

Therefore, Ann drove 312 miles in 8 gallons.

6 0
3 years ago
Evaluate by using suitable property: (-343) x (-12) + (-343) x (-88) . Mention the property used.​
Natalka [10]

Answer:

26,068

Step-by-step explanation:

(-343) x (-12) + (-343) x (-88)

= -4116 + 30,184

= 26,068

4 0
2 years ago
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