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jenyasd209 [6]
3 years ago
10

What is an equation of the line that passes through the points (0, 0) and (- 4, - 5) ?​

Mathematics
1 answer:
Margarita [4]3 years ago
4 0

Answer:

y=5/4x  

Step-by-step explanation:

(A fraction)

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The figure shown is an equilateral triangle. Calculate the length of each side and give your answer in cm.
cricket20 [7]
Given at you have an equilateral triangle, all sides have the same length.

Therefore,
First side 2x-7 = Second side x+y-9 = Third side y+5

Let us look at the second and third sides for now:
x+y-9 = y+5
x = y+5 - (y-9)
x = y-y+5+9
x = 14

Then we look at equating the first and third sides:
2x-7 = y+5
y = 2x-7-5

Substitute x =14 in the equation above:
y = 2(14)-7-5
= 28-7-5
= 21-5
= 16

The length of the third side is:
y+5 = 16 +5 = 21

Given that the length of each sides are the same in an equilateral triangle, all sides have the length 21cm.
4 0
3 years ago
An arched drainage culvert can be modelled by the function:
Zanzabum

Substitute 136.5 for y.

136.5=\frac{x(191-x)}{60}

8190=x(191-x)

8190=191x-x^{2}

x^{2} -191x+8190=0

Compare this equation with ax^{2} +bx+c=0

a = 1, b = - 191, c = 8190

x=\frac{-b+\sqrt{b^{2}-4ac } }{2} or

x=\frac{-b-\sqrt{b^{2}-4ac } }{2}

x=\frac{191+\sqrt{191^{2}-4(1)(8190) } }{2} or

x=\frac{191-\sqrt{191^{2}-4(1)(8190) } }{2}

x=\frac{191+\sqrt{36481-32760 } }{2} or

x=\frac{191-\sqrt{36481-32760 } }{2}

x=\frac{191+\sqrt{3721 } }{2} or

x=\frac{191-\sqrt{3721 } }{2}

x=\frac{191+61}{2} or

x=\frac{191-61}{2}

x=\frac{252}{2} or

x=\frac{130}{2}

x = 126 or x = 65

Hence, the points on the curve are (65, 136.5) and (126, 136.5).

The width of the air space is the distance between these points.

Width = \sqrt{(x_{2}- x_{1})^{2} +( y_{2}- y_{1}) ^{2}

= \sqrt{(126- 65)^{2} +(136.5-136.5) ^{2}

= 126 - 65

= 61

Hence, width of the air space is 61m.



5 0
3 years ago
WILL MARK BRAINLIEST TO FIRST CORRECT ANSWER
nadya68 [22]

Answer:

f(x) = -4x + 19

Step-by-step explanation:

I used a calculator, pls let me know if im incorrect

8 0
2 years ago
Which graph represents the solution for the equation 1/2 x - 1 = -x + 2?
Anna11 [10]

Answer:

b

Step-by-step explanation:

x=2

3 0
3 years ago
Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.
Sidana [21]

Answer: Congruent angles are angles that have the same measure. ... y = 67 x = 180 – 67 = 113. 2. x = ______ y = ______. 3x – 5 = 127. +5 +5. 3x = 132 ... Find the measure of the angle and give the reason for knowing it. ... Solve for the unknown values: ... 2) AD. 3) AB. 4) BC. 24. In ΔABC, If CA ≅ CB and m∠A = 50, find the m∠B.

5 0
3 years ago
Read 2 more answers
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