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Zarrin [17]
2 years ago
11

Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown.

Mathematics
1 answer:
tatuchka [14]2 years ago
5 0

Answer:

<h3>  y= -3/4x - 4</h3>

Step-by-step explanation:

To write an equation that is perpendicular to a given line, take the negative reciprocal of the given slope. the given slope is 4/3, so the negative reciprocal is -3/4.

Using slope-intercept form of a linear equation, y=mx+b substitute in -3/4 for "m" the slope.

y=-3/4x+b

Now you need to "b" the y-intercept using the given point (-4,-1). Substitute the values in the equation. -1=-3/4(-4)+b simplify

                           -1= 3 + b    subtract 3 for both sides

                           -4=b

         substitue -4 for b.   Now you have    y= -3/4x - 4    this is your answer.

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Expand if necessary combine like terms (7+x)(7-x)=
mina [271]

Answer:

49 - x^2

Step-by-step explanation:

(7+x)(7-x)

We know this is the difference of squares

(a-b) (a+b) = a^2 - b^2

7^2 - x^2 = 49-x^2

We can also FOIL

first = 7*7 = 49

Outer: = 7x

Inner: = -7x

Last : -x*x = -x^2

Add them together

49 +7x-7x - x^2

Combine like terms

49-x^2

4 0
3 years ago
12) The school that Danielle goes to is selling tickets to a choral performance. On the first day of
kicyunya [14]

Answer:

Senior citizen tickets = $9

Student tickets = $11

Step-by-step explanation:

We begin by converting these into simultaneous linear equation;

Senior citizen tickets = a

Student tickets = b

5a + 9b = 144

14a + 6b = 192

5a = 144 - 9b

a = 144/5 - 9b/5

a = 28.8 - 1.8b

We now substitute this into the first equation

14(28.8 - 1.8b) + 6b = 192

403.2 - 25.2b +6b = 192

-19.2b = 192 - 403.2

b = -211.2/-19.2

b = 11

Put the value of b into either equation

5a + 9b = 144

5a + 9(11) = 144

5a +99 = 144

5a = 144-99

5a = 45

a = 9

6 0
3 years ago
4.4 + [4 • 1/4 + 8.6]
Delicious77 [7]

Answer: 4.4 + (4 x 1/4 + 8.6) = 14

Step-by-step explanation: Because starting inside the parenthesis, 4 times 1/4 = 1. Then 8.6 plus 1 = 9.6. Finally, 9.6 plus 4.4 which equals 14. :)

6 0
3 years ago
By what percentage must the diameter of a circle be increased to increase its area by 50%?
katovenus [111]
The circle increase in area will be by a factor of 1.5
So corresponding increase in the diameter will be a factor of  sqrt 1.5 = 1.2247

Answer is 22.47 %
5 0
3 years ago
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If the legs of a right triangle are 4 and 7, the length of the hypotenuse is
Lisa [10]

Answer:

Hipotanous is rootunder 65

7 0
3 years ago
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