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Setler [38]
3 years ago
13

Please help. Explain how.

Mathematics
1 answer:
vekshin13 years ago
7 0

Answer:

y = \frac{4}{3} x +1

Step-by-step explanation:

1: find the perpendicular gradient - this is the negative reciprocal of the original gradient:

y=\frac{-3}{4}x+ 2 \\y=\frac{4}{3} x+c

2: Substitute in the coordinate to find the value of c:

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

3: Put it all together:

y=\frac{4}{3}x+1

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What prime numbers make 32 being added up
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29 and 3

13 and 19

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The roots of the quadratic equation $z^2 + az + b = 0$ are $2 - 3i$ and $2 + 3i$. What is $a+b$?
AlladinOne [14]
We know for our problem that the zeroes of our quadratic equation are (2-3i) and (2+3i), which means that the solutions for our equation are x=2-3i and x=2+3i. We are going to use those solutions to express our quadratic equation in the form a x^{2} +bx+c; to do that we will use the <span>zero factor property in reverse:
</span>x=2-3i
x-2=-3i
x-2+3i=0
<span>
</span>x=2+3i
x-2=3i
x-2-3i=0
<span>
Now, we can multiply the left sides of our equations:
</span>(x-2+3i)(x-2-3i)= x^{2} -2x-3ix-2x+4+6i+3ix-6i-3^2i^2
<span>= </span>x^{2}-4x+4-9i^{2}
= x^{2} -4x+4+9
= x^{2} -4x+13
Now that we have our quadratic in the form a x^{2} +bx+c, we can infer that a=1 and b=-4; therefore, we can conclude that a+b=1+(-4)=1-4=-3.
6 0
4 years ago
store A offers successive discounts of 10% one week and 20% the second week. store B offers a one-time discount of 25% the secon
11111nata11111 [884]

The store which offers the greater discount is store B.

<h3>Discount</h3>

Store A:

First week = 10%

= 10/100

= 0.1

Second week = 20%

= 20/100

= 0.2

Total discount = (0.1 + 0.2) / 2

= 0.15

Store B:

25%

= 25/100

= 0.25

Therefore, the store which offers the greater discount is store B.

Learn more about discount:

brainly.com/question/7459025

#SPJ1

7 0
2 years ago
Endpoint 1: (-1,2)<br> Midpoint: (9,-6)<br> Endpoint 2=
Vlad [161]

Answer:

(19 , -14)

Step-by-step explanation:

Find the distance in between each x & y for a coordinate.

Let: (x₁ , y₁) = (-1 , 2)

Let: (x₂ , y₂) = (9 , -6)

From x₁ ⇒ x₂: 9 - (-1) = 10

From y₁ ⇒ y₂: -6 - 2 = -8 = 8*

*Remember that distance cannot be negative, but for the sake of this question, we will leave it as -8.

The distance between the x points are in intervals of 10. The distance between the y points are in intervals of 8. Add 10 & subtract 8 to their respective numbers to get endpoint 2:

(9 (+ 10) , -6 (- 8)) = (19 , -14)

Endpoint 2 = (19 , -14)

~

7 0
4 years ago
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