(2(-2)+9(5)-5)-(6(-2)-4(5)+2)
(-4+45-5)-(-12-20+2)
(45-9)-(-32+2)
36+30
66
3. slope is 7 (slope = rise/run) count from the left most point to the other
up 7 right 1 both positive so slope = 7/1 reduced is 7
4. slope is 1/3 same process as above
up 1 right 3 both positive movement so slope is 1/3
5. y = 1/3x - 4 slope intercept form is y = (slope)x + (y-intercept)
y-intercept is where the graph touches the y-axis
6. y = 3x + 4
Answer:
≈101
Step-by-step explanation:
Let x and y represent the number of robberies in last year and this year respectively.
Given;
x = 147
This year the number of robberies has gone down 31%.
So;
y = x - 31% of x
y = x - 0.31x
y = 0.69x
Substituting the value;
y = 0.69 × 147
y = 101.43
y ≈ 101. (to the nearest whole number)
The number of robberies this year = 101
Answer:
Surface area of the figure is 582 square feet.
Step-by-step explanation:
The given figure is of an irregular backwards L-shaped prism which can be divided in two parts to measure the surface are of cumulative figure as shown. First figure is a horizontal larger prism then a smaller prism put on the larger one.
1) First figure is the larger prism with dimensions length× width×height = 15×4×9
Therefore the surface area of the larger prism will be = 2(15×9 + 4×9 + 15×4) - (4×6) = 2(135+36+60) - 24 = 2×231 - 24 = 462 - 24 = 438 ft²
2) Surface area of the smaller prism = 2(6×6 + 4×6 + 4×6) - 6×4 = 2(36+24+24) - 24 = 168 -24 = 144 ft²
Now total surface area will be = 438 + 144 = 582 ft²
The required height of window of the glass 2.4 meters.
Tony is installing a window that is shaped like a parallelogram. He has 6 square meters of glass and knows that the base of the window needs to be 2 and 1 half meters.
<h3>What is parallelogram?</h3>
parallelogram is a quadrilateral consist of pairs of parallel side.
Area of parallelogram = base x height
6 = 2.5 x height
height = 2.4 m
Thus the required height of window is given by 2.4 meters.
Learn more about parallelogram here:
brainly.com/question/14984005
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