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charle [14.2K]
2 years ago
10

Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the gi

ven equation.
(-3,-2); y = - 4x + 5
Mathematics
1 answer:
Lina20 [59]2 years ago
5 0

Answer:

y=-4x-14

Step-by-step explanation:

Lines that are parallel would have the same slope, so the slope is

m= -4

Use point slope equation to solve for the slope intercept equation.

y-y1=m(x-x1)

m= -4

x= -3

y= -2

y-(-2)=-4(x-(-3))

y+2=-4x-12

y=-4x-14

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The perimeter of a rectangular store receipt is ten and five-sixths inches. If three of the sides total eight and one-half inche
serg [7]

Answer:

The measure of the fourth side is \frac{7}{3} .

Step-by-step explanation:

Given as :

The Perimeter of rectangular store =  ( 10 + \frac{5}{6} )  inches

The measure of three sides of rectangle =  ( 8 + \frac{1}{2} )  inches

So, The measure of three sides = length + breadth + length

I,.e   2 L + B =  ( 8 + \frac{1}{2} )  inches      .....1

∵ perimeter =  ( 10 + \frac{5}{6} )  inches

So ,  2 L + 2 B = ( 10 + \frac{5}{6} )  inches

Or,  2 L + B + B = ( 10 + \frac{5}{6} )  inches

Or, ( 8 + \frac{1}{2} ) + B =  ( 10 + \frac{5}{6} )

or, B =  ( 10 + \frac{5}{6} ) -  ( 8 + \frac{1}{2} )

Or, B = 10 - 8 +  (\frac{5}{6} ) -  \frac{1}{2}

or, B = 2 +  \frac{5-3}{6}

or, B = 2 +  \frac{1}{3}

∴   B =  \frac{6 + 1}{3}  =  \frac{7}{3}

Hence The measure of the fourth side is \frac{7}{3} . Answer

7 0
4 years ago
What is the component form of the vector whose tail is the point (-3,2) and whose head is the point (1, -6)?
Bess [88]

Answer:

  (4, -8)

Step-by-step explanation:

The components of a vector are found by subtracting the tail from the head.

__

  Head - Tail = (1, -6) -(-3, 2) = (1 -(-3), -6 -2) = (4, -8)

⇒ The component form is (4, -8), or maybe 4<em>i</em> -8<em>j</em>.

_____

<em>Additional comment</em>

There are many ways that the components of vectors can be described. The particular format you are expected to use will likely be found in your curriculum materials.

4 0
2 years ago
If PQ=8 and Q lies at -13 where could P be located?
choli [55]

Answer:

In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).

Step-by-step explanation:

There is really no need to use any quadratics or roots.

( Consider the same problem on the plain number line first.  )

How do you find the number between 2 and 5 which is twice as far from 2 as from 5?

You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get

4=2+23(5−2)

It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then

R=P+23(Q−P)

so in your case we get

R=(0,−1)+23(3,3)=(2,1)

Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)

Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get

s=a+b=2b+b=3b

⇔b=13s⇒a=23s

7 0
3 years ago
What is 8% of 200 estimated?
chubhunter [2.5K]

Answer:

16

Step-by-step explanation:

5 0
3 years ago
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schepotkina [342]
If your question is: How much is each print. The answer is 20 cents each
5 0
3 years ago
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