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emmasim [6.3K]
3 years ago
5

Write an equation passing through (-6,5) that is parallel to y=1/2x-7

Mathematics
1 answer:
charle [14.2K]3 years ago
4 0

Answer:

y = 1/2x + 8

Step-by-step explanation:

a parallel equation needs to have the same slope as the given equation (1/2)

what we have so far is

y = 1/2x + b

since we know this has to pass through (-6, 5)

we’ll plug in -6 for x and 5 for y to find b

5 = 1/2(-6) + b

5 = -6/2 + b

5 = -3 + b

8 = b

so web. we plug b back into the equation

the final solution is

y = 1/2x + 8

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Select all the true statements. A. Negative integers are rational numbers B. Mixed numbers are irrational numbers C. Decimal num
nadezda [96]

Answer:

The correct answer is A.; C.; E.

Step-by-step explanation:

A. Negative integers are rational numbers because all integers are rational numbers, i.e. integers are a subset of rational numbers, making the statement correct.

B. Mixed numbers are rational numbers because they can be written in the form of a simple fraction and thus the statement B is wrong.

C. Decimal numbers that terminate, like 0.125, are rational numbers is true as they can be written as a simple fraction making the statement true.

D. Decimal numbers that go on forever with repeating patterns, like 4.272727..... are irrational numbers is false as they can also be represented by a simple function making them rationals.

E. Decimal numbers that go on forever with no repeating patterns are irrational numbers as they can never be written as a simple fraction making the statement E true.

6 0
3 years ago
Given the circle with the equation (x - 3)2 + y2 = 49 , determine the location of each point with respect to the graph of the ci
Nana76 [90]
Hello : 
<span>(x - 3)² + y² = 7²
the center is : A(3 , 0 ) and radius   r = 7  
the </span> point D  is on the interior  if : AD <span>< 7
</span>the  point D  is on the exterior if :  AD > 7
 the  point D  is circumference of the circle if :AD = 7 
3 0
3 years ago
Whats 2/3 of 21 and how did you get the answer :)
liraira [26]
Divide by 3 21/3=7
multiply by 2 7x2=14

<u>2/3 of 21 is 14</u>
7 0
4 years ago
What substitution should be used to rewrite 4x^4-21x^2+20 =0 as a quadratic equation
marysya [2.9K]

I would substitute y = x^2

4y^2 -21y+20=0

7 0
4 years ago
NEED HELP ASAP I WILL MARK YOU BRAINLIST
kirza4 [7]

Answer:

The correct answer is: Option H: 14.4 units

Step-by-step explanation:

CD is a line segment and let M be the mid-point of the line segment.

As we know that a mid-point divides the line in two equal parts, this means that the length of line segment will be the double of distance between one end and mid-point

Given

C( 2,-1) => (x1,y1)

M(8,3) => (x2,y2)

The distance formula is given by:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Putting the values

|CM|= \sqrt{(8-2)^2+(3-(-1))^2}\\|CM| = \sqrt{(8-2)^2+(3+1)^2}\\= \sqrt{(6)^2+(4)^2}\\=\sqrt{36+16}\\=\sqrt{52}\\= 7.211

We know that

CD = 2CM\\CD = 2 * 7.211\\CD = 14.422\\CD = 14.4

Hence,

The correct answer is: Option H: 14.4 units

3 0
3 years ago
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