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kykrilka [37]
3 years ago
9

What is the slope, y-intercept, and x-intercept of (7,-6) and (10,9)

Mathematics
1 answer:
Nonamiya [84]3 years ago
3 0

Answer:

Slope: 5

X Intercept: (8.2,0)

Y Intercept: (0, -41)

Step-by-step explanation:

Slope:

y2-y1/x2-x1=9-(-6)/10-7=9+6/10-7=15/3=5

y=5x-41 - the slope intercept form

X Intercept:

<em>if y=0</em>

0=5x-41

+41  +41

41=5x

8.2=x

(8.2,0)

Y Intercept:

<em>if x=0</em>

y=-41

(0,-41)

hope this helps

brainliest?

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Answer:

the second one and third one

Step-by-step explanation:

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2 years ago
Find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle: 52pi/5
Diano4ka-milaya [45]
The angle required will be given by:
x=52/5π-5*2π=2/5π
the positive angle less than one revolution around the unit circle that os co-terminal with angle of 52/5π is 2/5π

7 0
3 years ago
Serena uses chalk to draw a straight line on the sidewalk. The line is 12 ft long. She wants to divide the line into sections th
ElenaW [278]
<h3><u>Question:</u></h3>

Serena uses chalk to draw a straight line on the sidewalk. The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long. How many sections will the line be divided into?

<h3><u>Answer:</u></h3>

The number of sections that the line is divided is 4

<h3><u>Solution:</u></h3>

Given that, Serena uses chalk to draw a straight line on the sidewalk

The line is 1/2 ft long. She wants to divide the line into sections that are each 1/8 ft long

From given,

Total\ length\ of\ line = \frac{1}{2} \text{ feet }\\\\Length\ of\ each\ section = \frac{1}{8} \text{ feet }

To find: Number of sections can be made

The number of sections that can be made is found by dividing the total length of line by length of each section

\text{Number of sections } = \frac{\text{Total length of line}}{\text{length of each section}}

Substituting the values, we get,

\text{Number of sections } = \frac{\frac{1}{2}}{\frac{1}{8}}\\\\\text{Number of sections } = \frac{1}{2} \times \frac{8}{1}\\\\\text{Number of sections } = 4

Thus number of sections that the line is divided is 4

8 0
2 years ago
What is the domain and range of the graph below in interval notation? If union is needed, use Capital U. If infinity is needed u
elena55 [62]

Answer:

DOMAIN: (-\infty,1]\cup(2,\infty)

RANGE: (-\infty,\infty)

Step-by-step explanation:

The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.

DOMAIN:

From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.

However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.

So, our domain is all values greater than or less than 1, and all values greater than 2.

In interval notation, this is:

(-\infty,1]\cup(2,\infty)

We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.

RANGE:

Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.

Our range is all real numbers.

In interval notation, this is:

(-\infty,\infty)

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