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2 years ago

HELP ASAP PLEASE

Mathematics

1 answer:

Liula [17]2 years ago

3 0

distance : 15 units

coordinates : (7,0) and (-8, 45)

slope:

$\sf \rightarrow \dfrac{y_2-y_1}{x_2-x_1}$

$\sf \rightarrow \dfrac{45-0}{-8-7}$

$\sf \rightarrow -3$

equation:

$\hookrightarrow \sf y - 0 = -3(x-7)$

$\hookrightarrow \sf y = -3x+21$

the y-intercept of this function:

$\hookrightarrow \sf y = -3(0)+21$

$\hookrightarrow \sf y =21$

distance between both y-intercept :

21 - 6

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Which is equivalent to square root 10st x square root 15tu

aivan3 [116]

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3 years ago

Please find which quadratic equation matches the graph with work attached

lesya [120]

Answer:

Step-by-step explanation:

Firstly, we know that the function must be negative due to its shape. This means that the answer cannot be B

Next we can use the equation $x=\frac{-b}{2a}$ that is used in order to find the vertex of the parabola.

$f(x)=-x^2+6x+7\\a=-1,b=6,c=7\\\\x=\frac{-6}{-2} \\x=3$

As the vertex is at x=3 on the graph, this one could be a contender.

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This also could be the equation

$f(x)=-x^2-6x-7\\\\a=-1, b=-6, c=-7\\\\x=\frac{6}{-2} \\\\x=-3$

This rules option D out.

For this last step, we can look at where the zeroes would be for each equation. (These values are irrational, so we cannot look at specific number)

$f(x)=-(x^2-6x-7)$

As this equation has a negative value for c, this means that one zero must be positive and the other must be negative.

This means that option A can be ruled out

$f(x)=-(x^2-6x+7)$

As this equation has a positive value for c, this means that both of the zeroes must be positive. This means that it is the only one that fits all of the criteria.

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2 years ago

BRAINIEST FOR CORRECT ANSWER!! :))) ——————-

Morgarella [4.7K]

Answer:
3 < c < 13
Step-by-step explanation:
A triangle is known to have 3 sides: Side a, Side b and Side c.
For a triangle, one of the three sides is longer than the other two sides. (The only exception is when we are told specifically that a triangle is an equilateral triangle, where all the 3 sides are equal to each other).
To solve the above question, we would be using the Triangle Inequality Theorem.
The Triangle Inequality Theorem states that the summation or addition of the lengths of any two sides of a triangle is greater than the length of the third side.
Side a + Side b > Side c
Side a + Side c > Side b
Side b + Side c > Side a
For the above question, we have 2 possible side lengths for the third side of the triangle. We are given in the above question,
side (a) = 5
side (b) = 8
Let's represent the third side as c
To solve for the above question,we would be having the following Inequality.
= b - a < c < b + a
= 8 - 5 < c < 8 + 5
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2 years ago

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kakasveta [241]

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3 years ago

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zhuklara [117]

Answer:

Hope that answers your question

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2 years ago