Answer: y=2x+2
Step-by-step explanation:
slope-intercept form: y=ax+b
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#1 Find the slope
- Use rise/run to find the slope: 8/4=2
- Use slope formula: (2-(-6))/(0-(-4))=8/4=2
#2 Find the y-intercept
- Given the point (2, 0) it is already the y-intercept which is 2
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a=2
b=2
y=2x+2
Answer:
6
Step-by-step explanation:
If x is the number of 1/8 yard long pieces, then the total length is x * 1/8. We know that the total length is 3/4 yards. Therefore:
x * 1/8 = 3/4
Divide:
x = (3/4) / (1/8)
To divide a fraction, multiply by its reciprocal:
x = (3/4) * (8/1)
x = 24/4
x = 6
She has 6 pieces.
Answer:
A =530.66 cm^2
Step-by-step explanation:
A DVD is a circle so we can use the formula for area of a circle
A = pi r^2
We can find the radius from
r = d/2 where d is the diameter
r = 26/2
r = 13
A = pi *13^2
A = pi *169
Substituting in for pi
A = (3.14) * 169
A =530.66
1. To solve this exercise, you must make a system of equations.
2. You have that f<span>our times a number minus twice another number is -8:
</span>
4x-2y=-8
3. And t<span>he sum of the two number is 19:
</span>
x+y=19
4. As you can see, you have two equations:
4x-2y=-8 (i)
x+y=19 (ii)
5. Let's clear the "x" from the equation (ii):
x=19-y
6. Now, you need to susbtitute x=19-y into the equation (i):
4x-2y=-8
4(19-y)-2y=-8
76-4y-2y=-8
76-6y=-8
-6y=-8-76
-6y=-84
y=-84/-6
y=14
7. You must susbstitute y=14 into the equation (ii) and clear "x":
x+y=19
x+14=19
x=19-14
x=5
The answer is: 5 and 14
