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Scorpion4ik [409]
1 year ago
11

Select the correct answer. Which number best represents the slope of the graphed line? A linear function on a coordinate plane p

asses through (minus 6, minus 7), and (4, minus 2) also intercepts the x-axis at 8 units and the y-axis at minus 4 units. A. B. C. D.
Mathematics
1 answer:
Anni [7]1 year ago
3 0

The number best represents the slope of the graphed line is 1/2.

We have given the two points,

(-6,-7) and (4,-2) and slope-intercept is 8 units

<h3>What is the slope-intercept form of a line?</h3>

y-y_{1}=m\left(x-x_{1}\right)

y = y coordinate of the second point

y_1 = y coordinate of point one

m = slope

x = x coordinate of the second point

x_{1}= x coordinate of point one

Therefore the

slope=\frac{y_2-y_1}{x_2-x_!}

=\frac{-2-(-7)}{4-(-6)} \\=\frac{5}{10}\\ =\frac{1}{2}

Therefore the correct option is 1/2.

To learn more about the slope visit:

brainly.com/question/3493733

#SPJ1

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The output is seven more than the input
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Y = x - 7

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surveyor stands 100 m from the base of a tower on which an antenna stands. He measures the angles of elevation to the top and bo
balu736 [363]

Answer: 36.3m

Step-by-step explanation:

To solve this, we can draw two triangle rectangles, where the distance between the man and the base of the tower is one of the cathetus, the adjacent one, the height will be the opposite cathetus.

The triangle where the elevation angle is 58° is associated with the height of the tower without the aerial

The other triangle, where the elevation angle is 63° is associated with the height of the tower with the aerial.

Then we can calculate those two heights, then compute the difference, and the difference will be equal to the height of the aerial.

In both cases we want to calculate the opposite cathetus, then we should use the relation:

Tan(θ) = (Op. cath)/(Adj. cath)

The height without the aerial is h1, let's find it:

Tan(58°) = h1/100m

Tan(58°)*100m = h1 = 160m.

The height with the aerial is h2, let's find it:

Tan(63°) = h2/100m

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Then the height of the aerial will be:

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6 0
3 years ago
Can you help me with question 6 please
Licemer1 [7]
I'm pretty sure the answer is 24
4 0
3 years ago
The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.6. If events M and R can
ololo11 [35]

Answer:

11/25 The right answer is not a part of the options given.

Step-by-step explanation:

Given;

Probability that event M will not occur = 0.8

Probability that event R will not occur = 0.6

Then the ;

Probability that event M will occur = 1 - 0.8 = 0.2

Probability that event R will occur = 1 - 0.6 = 0.4

If events M and R cannot both occur, probability that either event M or event R will occur

=  probability that M occurs and R does not or the probability that R occurs and M does not

= 0.2 × 0.6 + 0.4 × 0.8

= 0.12 + 0.32

= 0.44

= 11/25

6 0
3 years ago
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