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2 years ago

Write an equation of the line that is perpendicular to y=-3x+1 and passes through point (5,3).

1 answer:

8 0

Answer: There are two formulas that we will use the first one is the y=m x+b and the second one is finding the perpendicular line.

Step-by-step explanation:

the first one is

y=m x+b

y= 3 x -12

the second one is

first find the negative reciprocal of the slope of the original line and use the point slope formula y- y,= m(x - x1) to find the line perpendicular to

Y= 3 x 1

X= 5

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NEED HELP ASAP

ankoles [38]

Answer:

5 degrees

Step-by-step explanation:

Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.

Solve Algebraically

5x+23=7x+13

5x+10=7x

10=7x-5x

10=2x

3 0

2 years ago

Can someone help me with this

mash [69]

The center of the circle is (h,k) = (-2,-3)

The radius of the circle is r = 2

The standard form of equation of the circle is

${(x + 2)}^{2} + {(y + 3)}^{2} = 4$

<h3>How to find the center, radius and standrad form of the circle?</h3>

The general form of equation of the circle is

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

Here, (h,k) means centre of the circle.

r means radius of the circle.

given that coordinate points of centre of circle is (-2,-3).

Hence the (h,k) = (-2,-3)

<h3>How to find the radius of the circle?</h3>

Now to find the radius of the circle

The distance from a circle's centre to its circumference is its radius.

The distance from a circle's centre (-2,-3) to its circumference (0,-3) is its radius.

using the formula, distance between the two points to obtain radius.

$d = \sqrt{(x1 - x2) {}^{2} + {(y1 - y2)}^{2} } \\ r = \sqrt{ {( - 2 - 0)}^{2} + {( - 3 - ( - 3))}^{2} } \\ r = \sqrt{ {( - 2)}^{2} + {( - 3 + 3)}^{2} } \\ r = \sqrt{ {4}^{2} + 0 } \\ r = \sqrt{4} \\ r = 2$

<h3>How to find the standard form of equation of the circle?</h3>

(h,k) = (-2,-3)

r = 2

subtitue the (h,k) and r values to get the standard form of equation of the circle.

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

${(x - ( - 2))}^{2} + {(y - ( - 3))}^{2} = {r}^{2}$

${(x + 2)}^{2} + {(y + 3)}^{2} = 4$

Learn more about circle, refer:

brainly.com/question/24810873

#SPJ9

5 0

1 year ago

Find the value of x. Round the length to the nearest tenth. The diagram is not drawn to scale.

Gekata [30.6K]

Answer:

x ≈ 2879.4 m

Step-by-step explanation:

Measure of ∠DAC = 10°

Measure of ∠DAB = 90°

Measure of ∠BAC = 90° - 10° = 80°

By applying cosine rule in ΔABC,

cos(80°) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

= $\frac{AB}{AC}$

0.17365 = $\frac{500}{x}$

x = $\frac{500}{0.17365}$

x = 2879.36

x ≈ 2879.4 m

4 0

3 years ago

The average weight per adult is 150 pounds, and the average weight per child is 40 pounds . The maximum weight is 1,500 pounds.

AnnZ [28]

With the ten children already in the elevator, the weight is at 400 pounds. Therefore you have 1,100 pounds before reaching the maximum weight. So about 7 adults can get in.

8 0

3 years ago

Read 2 more answers

PLEASE HELP

Reptile [31]

Answer:

so that when we subtract we are subtracting from the corresponding decimal places

Step-by-step explanation:

5 0

3 years ago