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astraxan [27]
3 years ago
8

Help on this to please

Mathematics
2 answers:
Levart [38]3 years ago
7 0
<h2>Finding the slope of a line given the graph</h2><h3>Answer:</h3>

7) \frac{1}{2}\\

8) -\frac{5}{4}\\

<h3>Step-by-step explanation:</h3>

<em>Please refer to my Answer from this question to know more about the slope of a line: <u>brainly.com/question/24599351</u></em>

In graph 7, we can see that the points, (-1,-4) and (1, -3) are on the line so these can be our points 1 and 2. Now we can find the slope.

\frac{-3 -(-4)}{1-(-1)} \\ \frac{-3 +4}{1 +1} \\ \frac{1}{2}

The slope of line in graph 7 is \frac{1}{2}\\.

In graph 8, we can see that the points, (-4,4) and (0, -1) are on the line so these can be our points 1 and 2. Now we can find the slope.

\frac{-1 -4}{0-(-4)} \\ \frac{-1 -4}{0 +4} \\ \frac{-5}{4} \\ -\frac{5}{4}

The slope of line in graph 8 is -\frac{5}{4}\\.

d1i1m1o1n [39]3 years ago
5 0

Answer:

7). up 4 over  4

8). up 1 over 2

Step-by-step explanation:

hope this helps :)

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Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm
VladimirAG [237]

Answer:

y=2x^2-4x-8

Step-by-step explanation:

<u>Factored form of a parabola</u>

y=a(x-p)(x-q)

where:

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  • a is some constant.

Given x-intercepts:

  • (1+√5, 0)
  • (1-√5, 0)

Therefore:

\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))

\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})

To find a, substitute the given point (4, 8) into the equation and solve for a:

\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8

\implies a(3-\sqrt{5})(3+\sqrt{5})=8

\implies4a=8

\implies a=2

Therefore, the equation of the parabola in factored form is:

\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})

Expand so that the equation is in standard form:

\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)

\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)

\implies y=2(x^2-2x-4)

\implies y=2x^2-4x-8

6 0
1 year ago
Your mother asked you turn the oven down to 325 f. This is 75 f less than it was. what was the original temperature.
AfilCa [17]

Answer:

400

Step-by-step explanation:

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You have 512 cubic feet of chocolate pudding. You have an empty cube that you want to fill with pudding; it measures 7 feet per
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Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Find the length of the hypotenuse of the right triangle if the width is 60 and hight is 32
GalinKa [24]

Answer:

The hypotenuse is 68

Step-by-step explanation:

To find the length of the hypotenuse of a a right angled triangle, we use the Pythagoras Theorem

c² = a² + b²

where c = hypotenuse, a = height, 32 and b = width, 60

Substitute the value 32 and 60 for a and b respectively in the above formula, and we will have

c² = 32² + 60²

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c = √4624

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4 0
3 years ago
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