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Serjik [45]
3 years ago
9

What is an equation of the line that passes through the point (-2,7) and is perpendicular to the line x-4y=24

Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer:

y = -4x - 1

Step-by-step explanation:

x - 4y = 24

-4y = -x + 24

y = \frac{1}{4}x - 6

m⊥ = -4

y = -4x + b

7 = -4 ( -2 ) + b

7 = 8 + b

b = -1

y = -4x - 1

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One number is 5 times another number.their sum is 90.find the numbers.​
alexgriva [62]

Step-by-step explanation:

let both unknowns be x and y

x = 5y. ......(1)

x + y = 90. ......(2)

sub eqn (1) into eqn (2)

5y + y = 90

6y = 90

y = 90/6

= 15

sub y = 15 to eqn (1)

x = 5y

x = 5 × 15

× = 75

4 0
3 years ago
What is the surface area of this rectangular pyramid?
Alexxx [7]

Answer:

304m^2

Step-by-step explanation:

First find the surface area of the base by multiplying the length by the width.

(12m) (8m)= 96m^2

Second, find the surface area of the front and back triangles using the formula <em>1/2 (base) (height)</em>. Use the length for the base.

1/2 (12m) (10m)= 60m^2

Next, find the surface area of the side triangles using the formula <em>1/2 (base) (height). </em>Use the width as the base.

1/2 (8m) (11m)= 44m^2

Last, add the surface area of each section. Make sure you add the area of each face.(we only solved for 1 of the front/ back triangles and 1 of the side triangles) To make it easier to understand I wrote out an equation to show how I added the surface areas.

base=a, front/ back triangles= b, side triangles=c

SA= a + 2b +2c  or SA= a +b +b +c +c

Using one of the equations above solve for the total surface area.

SA= (96m^2) + (60m^2) +(60m^2) +(44m^2) +(44m^2)

or

SA= (96m^2) + 2(60m^2) +2(44m^2)

SA=  (96m^2) +(120m^2) +(88m^2)

SA= 304m^2

7 0
3 years ago
There are​ 15,958,866 adults in a region. If a polling organization randomly selects 1235 adults without​ replacement, are the s
VARVARA [1.3K]

Answer:

The selections are dependent.

Yes, they can be treated as independent (less than 5% of the population).

Step-by-step explanation:

Since the selections are made without replacement, each selection affects the outcome of the next selection and, therefore, the selections are dependent.

Although they are dependent, the selections can be treated as independent if the sample size is no more than 5% of the total population. In this case, the sample size is 1235 adults out of a population of 15,958,866 adults. The percentage represented by the sample is:

P=\frac{12,345}{15,958.866}*100\\ P=0.077\%

Thus the selections can be treated as independent for the purposes of calculations.

3 0
3 years ago
Find the value of X please!!!
dybincka [34]

Answer:

What are we finding for X?

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
How do you do number 3
VLD [36.1K]

Since the 4 is underlined in 6.5<u>4</u> it means it is in the hundredths place so the value would be 0.04.

3 0
3 years ago
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