Answer:
x=8
Step-by-step explanation:
set both equations equal to each other
x^2-3x-10=-2x=2
combine like terms
x^2=1x+8
x+8
Hope this helps!
Answer:
(a)
$850.
(b)
$4250.
(c)
$4267.
Step-by-step explanation:
It is given that the value of a new car decreases by about 15% in the first year.
(a)
Now we are asked to find the cost of a car after one year; if we are given the initial value of car=$1000.
As the rate decreases by 15%.
that means we have to pay (100-15)% of the initial amount.
i.e. we have to pay 85% of the initial amount.
Hence the amount one has to pay= 85% of 1000.
which is equal to =85%×1000
⇒ =
Hence, the amount of car after one year when initaial amount is $1000 is:
$850.
(b)
if initial amount=$ 5000
then amount one has to pay after one year:
Hence, the amount of car after one year when initaial amount is $5000 is:
$4250.
(c)
if initial amount=$ 5020
then amount one has to pay after one year:
Hence, the amount of car after one year when initaial amount is $5020 is:
$4267.
To write
1
3
1
3
as a fraction with a common denominator, multiply by
3
3
3
3
.
−
2
9
−
1
3
⋅
3
3
-
2
9
-
1
3
⋅
3
3
Write each expression with a common denominator of
9
9
, by multiplying each by an appropriate factor of
1
1
.
Tap for more steps...
−
2
9
−
1
⋅
3
9
-
2
9
-
1
⋅
3
9
Combine the numerators over the common denominator.
−
2
−
1
⋅
3
9
-
2
-
1
⋅
3
9
Simplify the numerator.
−
5
9
-
5
9
Move the negative in front of the fraction.
-5/9 is the answer
The hypotenuse of the two triangles have the same slope because they are in the same straight line and the slope of a straight line is constatn.
You can prove that in this way:
slope = rise / run = Δy / Δx
For the upper triangle: slope = (4 - 2) / (8 - 4) = 2 / 4 = 1 / 2
For the lower triangle: slope = (-1 - (-5)) / (- 2 - (-10)) = 4 / 8 = 1 / 2
So, this proves that the two slopes are the same: 1 / 2
Answer: The slope is -2.
Step-by-step explanation:
(2,-3)
(-2,5)
Using the two given points, you can find the slope by finding the difference in the y coordinates and diving it by the difference in the x coordinates.
y coordinates: -3 - 5= -8
x coordinates; 2-(-2) = 4
Slope: -8/ 4 = -2
