Answer:
y=3x-4
Step-by-step explanation:
Slope intercept form is :
y=mx+b
where m is the slope, and b is the y intercept.
We are given the slope, it is 3. we are also given the y intercept, it is (0,-4). For this form, the 0 in (0,-4) is ignored, and we consider the y intercept to be -4.
So, m is 3, and b is -4. Substitute the values into the equation
y=3x+ -4
y=3x-4
So, the equation in slope intercept form is
y=3x-4
Answer:
A. 
B. Perimeter = 190.6 yd
Step-by-step explanation:
A. Distance between P(10, 50) and R(80, 10):
(nearest tenth)
B. Distance around the park = Perimeter = PR + PQ + QR
PR = 80.6 yd
PQ = |50 - 10| = 40 yd
QR = |80 - 10| = 70 yd
Perimeter = 80.6 + 40 + 70
Perimeter = 190.6 yd
Answer:
y = 6/5x - 24/5
Step-by-step explanation:
The two points we are given are (4, 0) and (9, 6). First, find the slope.
m = 6 - 0/9 - 4 = 6/5
Next, insert the values into the point-slope form formula. I'll use (4, 0) as the coordinates.
y - 0 = 6/5(x - 4)
y = 6/5x - 24/5
Answer : d. 438.5 ft
The diagram for the given statement is attached below.
Two sides AB and AC are equal so the angle B = angle C
WE know sum of three sides of a triangle = 180
angle A + angle B + angle C = 180
55 + B + C = 180
B + C = 180 -55 = 125
B and C are equal so we divide 125 by 2
angle B = 62.5 and angle C = 62.5
Now we apply sin law
150 * sin(55) = sin(62.5) * a
122.8728066 = sin(62.5) * a
a = 
a= 138.52 feet
To find perimeter we add all the sides
150 + 150 + 138.52 = 438.52 feet
9514 1404 393
Answer:
- 84 small cubes
- 3 1/9 unit cubes
Step-by-step explanation:
A cube that is 1/3 ft on a side will fit 3 in a foot. In terms of the 1/3 ft small cube, the dimensions of the prism are ...
1 1/3 ft = 4 small cubes
1 ft = 3 small cubes
2 1/3 ft = 7 small cubes
Then the volume in terms of small cubes is ...
V = LWH = (4)(3)(7) = 84 small cubes
__
There are 3×3×3 = 27 small cubes in a 1-ft unit cube, so the prism volume in terms of unit cubes is ...
84/27 = 3 1/9 . . . unit cubes
__
<em>Additional comment</em>
The largest dimension of the prism is just over 2 ft, so the maximum number of unit (1 ft) cubes that will fit is 2. To fill the volume with 3 1/9 unit cubes, those would have to be cut and fit into the space.
