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bogdanovich [222]
1 year ago
6

Write an equation that passes through (4,-3) and is perpendicular to y=-2x-4

Mathematics
1 answer:
makkiz [27]1 year ago
5 0

The point is (4,-3) and is perpendicular to y=-2x-4.

The slope is given , m=-2.

For the perpendicular line, the slope is

m_1\times m_2=-1m_1\times-2=-1m_1=\frac{1}{2}

Now, then the general equation is

y-y_1=m(x-x_1)

Substitute the values.

y-(-3)=\frac{1}{2}(x-4)y+3=\frac{1}{2}(x-4)y=\frac{1}{2}x-\frac{4}{2}-3y=\frac{1}{2}x-2-3y=\frac{1}{2}x-5

Hence the equation is determined as

y=\frac{1}{2}x-5

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What's -8.2 x 10 to the fifth power? Please explain your answer. Thank you!
Stolb23 [73]

First lets find -8.2 x 10 = -82 know we find 82^5 which is 82*82*82*82*82

-82*-82=6724 and then 6724*-82= -551368 and then -551368*-82 =45212176 and then 45212176*-82= -3707398432 and finally -3707398432 is our answer i checked the calc to after i did the hard math that took me forever i had some help from the calc and i got this hopefully this helps

8 0
3 years ago
The difference of a number x and 5.
DiKsa [7]

Answer:

Below

Step-by-step explanation:

Difference= ‘-’

=

x - 5

3 0
3 years ago
70% of a number is 98.
hammer [34]
The solution is as follows:

Set up the proportion:

70% - 98
90% - x

70% / 90% = 98 / x

7 / 9 = 98 /x

(7 / 9) x = 98

x = 98 x 9/7

x = 14 x 9

x = 126

The answer is <span>D. 126.


I hope my answer has come to your help. God bless and have a nice day ahead!</span>
8 0
3 years ago
Please solve the following questions!!
alexandr402 [8]

Answer:

3. The missing angle is 56°

4. x = 7

Step-by-step explanation:

3.

We know sum of 3 angles in a triangle is 180°.

Looking at the top triangle, we can figure out the third angle. Let third angle be x:

85 + 35 + x = 180

120 + x = 180

x = 180 - 120

x = 60

<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>

So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:

60 + 64 + y = 180

124 + y = 180

y = 180 - 124

y= 56

This is the missing angle.

4.

10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.

Thus we can write the equation:

(10x-5) =  (8x+9)

10x-8x=9+5

2x=14

x=14/2

x=7

So x = 7

5 0
3 years ago
If 1 inch is 500 miles, then 4 inches is how many miles?
tiny-mole [99]

Answer:

2,000 miles

Step-by-step explanation:

We are given:

1 inch=500 miles

This can be rewritten as:

\frac{500 miles}{1inch}

This is representative of a unit rate, as we have a 1 in the denominator. To calculate the number of miles in 4 inches, simply multiply the unit rate by 4:

\frac{500 miles}{1inch}*4=

\frac{2000 miles}{4 inches}

This can rewritten as:

4inches=2000miles

Therefore, there are 2,000 miles in 4 inches.

-

We can check our solution by simplifying the fraction \frac{2000 miles}{4 inches} by dividing both 2000 and 4 by 4 to see if we achieve the unit rate:

\frac{500 miles}{1 inch}

Since this is in fact the unit rate, our solution is correct!

6 0
2 years ago
Read 2 more answers
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