Write an equation in point-slope form for the line through the given point with the given slope.(8, 3); m = 6
Answers
m=slope
b= y intecept
points in (x,y) form
one solution is
x=8
y=3
m=6
subistute and solve for b
3=6 times 8+b
3=48+b
subtract 48 from both sides
-45=b
the equation is y=6x-45
the answer is actually B because if you do the math
y-3=6 times (x-8)
distribute
y-3=6x-48
add 3 to both sides
y=6x-45
the ANSER IS B
m=6
y=6x+b
x=8, y=3
3=6*8+b
3=48+b
b=3-48
b=-45
y=6x-45
B. y-3=6(x-8)
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What is 2x – 45 = 7x – 9x –x
Answers
m =
10 - 6 = -4 - 4y Subtract
4 = -4 - 4y Add 4 to both sides
8 = -4y Divide both sides by -4
-2 = y Swich the sides to make it easier to read
y = -2
Check your answer by plugging -2 back into the equation with the other values.
[tex] \frac{1}{4} [/tex] =
Since both sides equal each other, y = -2.
Then, you multiply the 4 to both side in order to get rid of the fraction from the equation. You would then have 1=-1-y. You add -1 to both side and you would have 2=-y. Since the variable cannot be negative, you divide -1 from both side and get -2=y. Therefore the answer is y=-2.
Hope this helps.
Answers
90+90=180.
Answers
f(x) = x^2 - 2 * x - 3 = (x - 3) * (x + 1)
1. x = - 1
2. x = 3
The missing number would be 3.
The missing value is 3 because roots of the function f(x) = x2 – 2x – 3 are -1 and 3
What is a quadratic equation ?
Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have a function:
f(x) = x² – 2x – 3
Equate the function to zero;
f(x) = 0
x² – 2x – 3 = 0
a = 1, b = -2, c = -3
After simplification:
x = 3 or x = -1
Thus, the missing value is 3 because roots of the function f(x) = x2 – 2x – 3 are -1 and 3
Learn more about quadratic equations here:
#SPJ5
A. 5/12
B. 6/12
C. 5/8
D. 6/8
Answers
Answer:
5/12
Step-by-step explanation:
of means multiplication. so multiply 5x2 / 6x2 which is 5/12
Answer:
A. 5/12
Step-by-step explanation:
the "of" in the answer is asking you to multiply.
what you want to do is multiply the numerators and denominators.
5 x 1 = 5
6 x 2= 12
giving you 5/12!
hope this helps <3
A)x = 4
B)x = -4
C)x = ±4
D)No Solution
Answers
First, take the square root to both sides.
Second, now we have 4 × 4 which is 16, meaning the square root of 16 is 4.
Third, there are two solutions.
Fourth, since we have two values, it is reasonable to use the plus-minus sign to indicate there is a positive and a negative solution.
Answer: C) x = ±4
x = √16
x = 4.
so the answer is A. x = 4.
Answers
Answer:
The horizontal distance from the starting point when rocket lands is:
168.83 meters.
Step-by-step explanation:
We are given a function that models the height of the rocket when it is 'x' meters away from the starting point.
The function is:
Now we are asked to find the horizontal distance from the starting point when the rocket will land.
i.e. we are asked to find 'x' ; when y=0
i.e.
Let y=0
on solving the quadratic equation we obtain:
As the distance can't be negative.
Hence, the viable solution is:
x=168.83
y=-0.06x²+10.1x+5
==>6x²-1010x-500=0
Δ=1010²+4*6*500=1032100=(1015,92...)²
x=(1010-1015.92...)/12 <0 exclude
or x=(1010+1015.92..)/12=168.826935... (m)