Answer:
29013
Step-by-step explanation:
Do PEMDAS. Multiply 69 and 420 and 1 and 44. Then you will get 28980+77-44. Then add and subtract from there. Answer is 29,013.
Answer:
11). x = 25.8°
12). x = 67.3°
Step-by-step explanation:
11). By using sine rule in the given triangle,
cos(x) =
cos(x) =
x =
x = 25.84
x ≈ 25.8°
12). By applying tangent rule in the given triangle,
tan(x) =
tan(x) =
x =
x = 67.29°
x ≈ 67.3°
Y α x²
y = kx²
64 = k*4²
64 = k*4*4
64 = 16k
64/16 = k
4 = k
k = 4
y = kx²
y = 4*6²
y = 4*6*6
y = 144
The equation in slope-intercept form for the side of triangle QRS that is parallel to UV is: y = x + 9
<h3>What is Slope-intercept Form of a Line?</h3>
Slope-inetrcept form of the equation of a line is given as, y = mx + b, where m is the slope of the line and b is the y-intercept of the line.
The side of triangle QRS that is parallel to UV is RS.
Slope of RS = RQ/QS = 6 units/6 units = 1
To find b, substitute R(-2, 7) = (x, y) and m = 1 into y = mx + b
7 = 1(-2) + b
7 = -2 + b
7 + 2 = b
b = 9
To write the equation for line RS, substitute m = 1 and b = 9 into y = mx + b
y = 1(x) + 9
y = x + 9
Thus, the equation in slope-intercept form for the side of triangle QRS that is parallel to UV is: y = x + 9
Learn more about the slope-intercept form on:
brainly.com/question/1884491
Answer:
- 8x + 3y = 57
- y = -8/3x + 19
- y + 5 = -8/3(x - 9)
Step-by-step explanation:
<u>Given function</u>
<u>Line parallel to the given has the same slope and passes through the point </u>
<u>Determining the equation</u>
- 8x + 3y = c
- 8*9 + 3*(-5) = c
- c=72 - 15
- c = 57
<u>So the function is in </u><u>standard</u><u> form</u>
<u>Converting to </u><u>slope-intercept</u><u> form</u>
- y = mx + b
- 3y = -8x + 57
- y = -8/3x + 573
- y = -8/3x + 19
<u>Point-slope</u><u> form, using the given point</u>
- y - y1 = m(x - x1)
- y - (-5) = -8/3(x - 9)
- y + 5 = -8/3(x - 9)