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2 years ago

How do I find the endpoint of a segment when given the first endpoint (-6, 5) and the midpoint(-1.5, 1)?

Mathematics

1 answer:

Anika [276]2 years ago

3 0

Answer:

(3, -3)

Step-by-step explanation:

Use the midpoint formula.

x = (x₁ + x₂) / 2

-1.5 = (-6 + x) / 2

-3 = -6 + x

x = 3

y = (y₁ + y₂) / 2

1 = (5 + y) / 2

2 = 5 + y

y = -3

The other endpoint is (3, -3).

Graph: desmos.com/calculator/aze920ns2h

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Im kinda confused on this. i need help.

RideAnS [48]

Given :-

A graph is given to us .

To Find :-

The equation in slope intercept form .

Answer :-

From the given graph , we can see that the line passes through y axis at (0,5) . So the y intercept is 5 . And the slope of the line is 5/2 = 2.5 . So ,

$\sf\longrightarrow$ y intercept = 5 .

$\sf\longrightarrow$ slope = 5/2 .

Now here we can use the slope intercept form as ,

$\sf\longrightarrow$ y = mx + c

$\sf\longrightarrow$ y = 5/2x + 5

Hence the required answer is y = 5/2x + 5.

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2 years ago

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2 years ago

What is the sum of two consecutive even integers divided by four is 189.5?

mixas84 [53]

Let us denote the smaller even integer by $N$ .
Then, the next even integer must be $N+2$ .

To verify, set $N$ as any even number, say $174$ .
Then, the next even integer must be 2 more than this number, i.e. $174+2=176$ .

The sum of these two consecutive even integers can be expressed as:
                                    $N+(N+2)=2N+2$

We are told that this sum divided by four is 189.5, i.e.
                                     $(2N+2)\div4=189.5$

Multiplying both sides by 4 will reverse the division:
     $(2N+2)\div4\times4=189.5\times4$
     $(2N+2)\times1=758$

Subtracting 2 from each side will reverse the addition:
     $2N+2-2=758-2$
     $2N=756$

Dividing both sides by 2 will reverse the multiplication:
     $2N\div2=756\div2$
     $N=378$

Therefore, the two consecutive integers must be 378 and 380.

Check this:
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2 years ago

suppose A and B are complementary angles, m a =(3x+5) and m b= (2x-15). Solve for x and then find m a and m b

vlada-n [284]

2 angles are complementary if the sum of their measures is 90°.

For example if m(P) = 41° and m(Q)=49°, then P and Q are complementary.

Thus A and B are complementary means that m(A)=m(B)=90°:

(3x+5°) + (2x-15°) =90°

5x-10°=90°

5x=100°

x=20°

Thus

m(A)=3x+5°=3* 20°+5°=60°+5°=65°

m(B)=2x-15°=2*20°-15°=40°-15°=25°

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2 years ago

How do I find the endpoint of a segment when given the first endpoint (-6, 5) and the midpoint(-1.5, 1)?​

How do I find the endpoint of a segment when given the first endpoint (-6, 5) and the midpoint(-1.5, 1)?