Answer:
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + b
We need to find the slope, m, and the y-intercept, b.
The line we need is perpendicular to the line 2x + y = 8.
<em>The slopes of perpendicular lines are negative reciprocals.</em>
We solve the given equation for y to find the slope of the given line.
2x + y = 8
y = -2x + 8
The given line has slope -2.
The negative reciprocal of -2 is 1/2.
Our line has slope, m = 1/2.
Now we have
y = 1/2 x + b
Now we use the given point, (-2, 3), for x and y, using x = -2, and y = 3, and we solve for b.
y = 1/2 x + b
3 = 1/2 * (-2) + b
3 = -1 + b
4 = b
b = 4
Now we have
y = 1/2 x + 4
Answer:
Answer:
28 quarters and 12 nickles
Step-by-step explanation:
How many quarters goes into 7 dollars? 28, because there is 4 in each dollar.
How many nickles are in 60 cents? 12, because 5 times 12 is 60.
Answer:
Let the unknown number be x ;
Step-by-step explanation:
1. To answer this question we must keep on mind that we already have the distance from Cleveland to Cincinnati.
2. They tell us that it is 40 centimeters on the first map.
3. If on the first map 
then:
4. Then the distance from Cleveland to Cincinnati is 400 kilometers.
5. On the second map 
6. Then we want to know how many centimeters represents 400 kilometers on the second map. Therefore:
The answer is: 8 centimeters.
Answer:
10 Square feet or square meter
Step-by-step explanation:
Area of a triangle = bh / 2
b represents the base which is 4
h represents the height which is 5
bh / 2 = 4 × 5 / 2
Area = 20 / 2
Area = 10
:. The Area of the triangle is 10 square feet or square meter
