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-BARSIC- [3]
4 years ago
14

Write the equation of the line that is parallel to y = -2x + 5 and goes through the point (4,-3).

Mathematics
1 answer:
kap26 [50]4 years ago
7 0
Y = -2x + 5

All you have to do when coming across this type of problem is substitute x and y for the points given, as well as change whatever b is, in this case 5, for b. For example: -3 = -2(4) + b
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4x2 +9y2 = 72
Kamila [148]

Answer:

<h2>        \bold{\left(\dfrac{3}{13}\ ,\ \dfrac{4\sqrt{13}}{13}\right)\qquad\vee\qquad \left(\dfrac{3}{13}\ ,\ -\dfrac{4\sqrt{13}}{13}\right)}</h2>

Step-by-step explanation:

x - y² = -1     ⇒   - y² = - x - 1    ⇒    y² = x + 1   {x≥-1}

4x² + 9y² = 72

4x² + 9(x + 1)² = 72

4x² + 9(x² + 2x + 1) = 72

4x² + 9x² + 18x + 9 - 72 = 0

13x² + 18x - 63 = 0     ⇒   a = 13,  b = 18,  c = -63

x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}

4 0
3 years ago
the surface area of a rectangular prism is 190 square inches the length is 10 inches and the width is three inches find the heig
Nastasia [14]

Answer:

h=5in

Step-by-step explanation:

The following areas are equal:

1. Front and Back.

2. Left and right.

3. Top and Bottom.

Therefore, we calculate 3 areas and

multiply each by 2 to get the 6 areas:

As=2(3*h) + 2(10*h) + 2(10*3)=1901n^2.

6h + 20h + 60 = 190,

26h = 190 - 60 = 130,

h = 5in.

7 0
3 years ago
What is the variable 4t+8-5c
Svetlanka [38]

Answer: The variable is t and c.

7 0
3 years ago
Determine x when y = 18, if y = 9 when x = 8
tensa zangetsu [6.8K]

Answer:x = 16

Step-by-step explanation: Make the equation 8/9=x/18: Cross multiply to get 9x=144 and divide both sides by 9 to get 16

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

4 0
3 years ago
A particular frozen yogurt has 75 cal in 2 ounces how many calories are in 8 ounces of the yogurt
Vesnalui [34]
Just divide 8 by 2 and you'll get 4
Each container is 2 ounces so do 75 times 4 and you'll get 300 calories
4 0
3 years ago
Read 2 more answers
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