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seraphim [82]
3 years ago
11

The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y - 4 = (x – 8). What

Mathematics
1 answer:
AfilCa [17]3 years ago
8 0

Answer: y = x/4 + 2

Y equals one fourth x plus two.

Step-by-step explanation:

There seems to be a typo on answer choice c.

Slope intercept form is y= mx + b

m is the slope. b is the y-intercept.

The y-intercept is given here in the coordinate (0,2) It is +2

Slope is rise/run.

Rise: Difference in given y-values is 4-2 = 2.

Run: Difference in x-values is 8-0=8.

So the slope is 2/8 = 1/4

The equation is y = 1/4 x + 2

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the area of a triangle is 6 and 3/8 square yards. The height of the triangle is 2 and 1/2 yards. What is the length of the base
Otrada [13]

Solution:

<u>Note that:</u>

  • Area of triangle = 6 3/8 yd²
  • Height of triangle = 2 1/2
  • Area of triangle = 1/2 x base x altitude

<u>Use the formula to find the base of the triangle.</u>

  • 1/2 x base x altitude = 6 3/8 yd²
  • => 1/2 x base x 2 1/2 = 6 3/8 yd²
  • => 1/2 x base x 5/2 = 6 3/8 yd²
  • => 5/4 x base = 6 3/8 yd²
  • => base = 6 3/8 ÷ 5/4 yd
  • => base = 51/8 x 4/5 yd
  • => base = 51/2 x 1/5 yd
  • => base = 51/10 yd

The length of the base is 51/10 yards.

8 0
2 years ago
Read 2 more answers
1.) A triangle has two interior angle measures of 82º and 19º. Find the measure of
daser333 [38]

Answer:

79°

Step-by-step explanation:

A triangle has 180° in it so 180 - 82 =98- 19=79

4 0
4 years ago
2. Given the function f(x) = (x + 1) - (2x - 1), solve for the
valina [46]

Answer:

i think that the answer might be D

6 0
3 years ago
Solve. Between [0, 2pi]<br> 2cos^2x+7cosx+3=0
vova2212 [387]

9514 1404 393

Answer:

  x = {2π/3, 4π/3}

Step-by-step explanation:

The equation can be factored as ...

  (cos(x) +3)(2cos(x) +1) = 0

The solutions are the values of x where the factors are zero.

  cos(x) +3 = 0

  cos(x) = -3 . . . . . . no real solution

__

  2cos(x) +1 = 0

  cos(x) = -1/2

  x = arccos(-1/2) = 2π/3

The other solution in the desired interval is ...

  x = 2π -(2π/3) = 4π/3

The solutions are x∈ {2π/3, 4π/3}.

6 0
3 years ago
X + 5 * 3 divided by 4 - 2=
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