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Ostrovityanka [42]
2 years ago
8

I NEED YOUR HELLPPP!!

Mathematics
1 answer:
BaLLatris [955]2 years ago
6 0

Answer:

y = -\frac{1}{2}x  - 8

Step-by-step explanation:

1. The slope-intercept form of a linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope, let's take the two points (-10,-3) and (-8,-4) to then plug their values into this formula: \frac{y_2-y_1}{x_2-x_1}

  • \frac{-4-(-3)}{-8-(-10)}
  • -\frac{1}{2}

3. Great, now that we have our slope, the equation looks like this so far: y = -\frac{1}{2} x + b.

4. Since b is the y-intercept, b = -8 because the line intersects the y-axis at the coordinate, (0,-8).

5. When plugging in the values of m and b, we get the equation of y = -\frac{1}{2} x - 8

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In a classroom 12 students are wearing glasses, while 6 are not. What percent of the students are wearing glasses? Explainnn
ASHA 777 [7]

Answer:

66,666666666666666666666666666666666667% :))

Step-by-step explanation:

total number of students in 1 class: 12 + 6 = 18 students

percentage of student wearing glasses are:

\frac{12}{18}  \times 100 = 66.666666667\%

Done :))

4 0
2 years ago
The equation for line s can be written as y = x + 3. Line t, which is parallel to line s,
arlik [135]

Answer:

y=x-1

Step-by-step explanation:

6 0
2 years ago
What is the slope of line LM given L(9, -2) and M(3, -5)?
jasenka [17]

Answer:

1/2

Step-by-step explanation:

(y2-y1)/(x2-x1) is the equation for finding slope with two given points

-5-(-2) over 3-9 equals

-3/-6=-1/-2=1/2

7 0
3 years ago
Pls help thank you. Find the value of the expression use estimation to check your answer ​
RoseWind [281]

Answer:

2.) 2703

4.) 9

Step-by-step explanation:

2.)

5327 - 2624 = ?

We subtract from left to right to get;

(7 - 4 = 3) then (2 - 2 = 0) then carrying  1 from 5, (13 - 6 = 7) and (4 - 2 = 2)

So writing the answer;

2 then 7 then 0 then 3

i.e Answer = 2703

4.)

648 ÷ 72 = ?

72 × 10 = 720

So we must multiply 72 by a number less than 10 since 720 > 648

We should look for a number such that 2 in 72 times the number should give an answer with 8 in the end.

Such a number can be 9;

Manually multiplying 72 and 9 we get 648 and we are right!

8 0
3 years ago
The angle of elevation of the top of a pole as seen from a point 13 ft away from the base is double its angle of elevation as se
spayn [35]

The height of the pole above the level of the observer's eyes is 31.42 ft

Let the angle of elevation of the top of the pole from a point 47 ft away be α.

Let the angle of elevation of the top of the pole from the point 13 ft away be β.

Since the angle of elevation of a point 13 feet away is twice that from 47 ft away, we have that β = 2α.

If the height of the pole above the level of the observer's eye is h, we have that

tanβ = tan2α = h/13 and tanα = h/47

From trigonometric identities tan2α = 2tanα/(1 - tan²α)

Substituting the values of the variables into the equation, we have

tan2α = 2tanα/(1 - tan²α)

h/13 = 2h/47 ÷ [1 - (h/47)²]

Dividing through by h, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

Cross-multiplying, we have

1/13 = 2/47 ÷ [1 - (h/47)²]

1 - (h/47)² = 2/47 × 13

1 - (h/47)² = 26/47

(h/47)² = 1 - 26/47

(h/47)² = (47 - 26)/47

(h/47)² = 21/47

Taking square-root of both sides, we have

h/47 = √(21/47)

Cross-multiplyng, we have

h = √(21/47) × 47

h = √(21 × 47)

h = √987

h = 31.42 ft

The height of the pole above the level of the observer's eyes is 31.42 ft

Learn more about height of a pole here:

brainly.com/question/10375496

4 0
2 years ago
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