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Anon25 [30]
3 years ago
8

LINEAR, QUADRATIC, EXPONENTIAL REVIEW: QUESTION 3 Find the equation of the line that has a slope of 2 and passes through the poi

nt (1, 7).
Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

The point-slope form:

y-y_1=m(x-x_1)

We have

m=2,\ (1,\ 7)

Substitute:

y-7=2(x-1)\qquad|\text{use distributive property}\\\\y-7=2x-2\qquad|+7\\\\y=2x+5\qquad|-5\\\\y-5=2x\qquad|-y\\\\2x-y=-5

<h3>Answer:</h3><h3>point-slope form: y - 7 = 2(x - 1)</h3><h3>slope-intercept form: y = 2x + 5</h3><h3>standard form: 2x - y = -5</h3>
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A circle is centered at the point (5,-4) &amp; passes through the point (-3,2).
maxonik [38]

Equation of the circle:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

The equation of a circle is given by

(x-x_0)^2+(y-y_0)^2=r^2

where

(x_0,y_0) are the coordinates of the center of the circle

r is the radius of the circle

For the circle in this problem, we know that:

(5,4) are the coordinates of the center

We also know that the circle passes through the point (-3,2), therefore we can calculate the radius as the distance between the point on the circle and the center of the circle:

r=\sqrt{(-3-(5))^2+(2-(-4))^2}=\sqrt{(-8)^2+(6)^2}=\sqrt{64+36}=10

Therefore, the equation of the circle is:

(x-5)^2+(y-(-4))^2=10^2\\(x-5)^2+(y+4)^2=100

Learn more about circles:

brainly.com/question/4713715

brainly.com/question/3456442

brainly.com/question/3333996

#LearnwithBrainly

5 0
3 years ago
Joseph write the number pattern below 100; 101, 96; 97; 92; 93, 88; 89; what is the next pattern?
sergij07 [2.7K]

Answer:

multiples of 8

Step-by-step explanation:

79 80. 82. 81. 83 84 85 86. 88. 87. 89 90. 92. 91. 93 94 95 96. 98. 97. 99 100 ... 101. 3. (a) Write down the first 8 multiples of 8. (b) Write down the first 8 multiples of 6. ... (d) What are the next two numbers that are multiples of both 6 and 8? 4.

5 0
3 years ago
Simplify the following expression into the form a + bi, where a and b are rational numbers. (4-i)(-3+7i)-7i(8+2i), please help
atroni [7]
9-25i is the answer to your question
7 0
3 years ago
Read 2 more answers
Solving Equations with the variable on each side
Maslowich
Multiply both sides by 6
(b-4)/6*6= b-4
b/2*6= 3b

Rewrite the equation
b-4= 3b

Subtract b from both sides
-4=2b

Divide both sides by 2
-2=b

Final answer: b=-2
5 0
3 years ago
In the diagram, the radius of the outer circle is 2x cm and the radius of the inside circle is 6 cm. The area of the shaded regi
Greeley [361]

Answer:

its 7

Step-by-step explanation:

I just took the test and got 3 wrong and it said it was 7 so there u go

3 0
3 years ago
Read 2 more answers
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