Answer:
(x - 3)² = 10
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Completing the SquareStep-by-step explanation:
Step 1: Define
x² = 6x + 1
Step 2: Rewrite
Subtract 6x on both sides: x² - 6x = 1Complete the Square: x² - 6x + 9 = 1 + 9Factor: (x - 3)² = 10Answer:
(x - 3)² = 10
Step-by-step explanation:
Write an equation of the line that passes through (3, 7) and is parallel to the line shown. (1, 4) (- 2, - 2)
Answer:
y=2x+1.
Step-by-step explanation:
You first need to find the slope of the line already graphed. -2 to 1 would be three units to the right, and -2 to 4 would be six units up. You would use the equation (y2-y1)/(x2-x1), where x1 and y1 would be the x and y values of the first coordinate of the graphed line, and x2 and y2 would be the second coordinate. This would be 6/3, which can be simplified to 2/1, which can be simplified to 2, which would mean the slope of the given line would be 2, as well as the parallel line. Now, you could use a pretty complicated equation to find the y-intercept of the line you need to graph, but I would recommend using the slope to find it. Since the given point is (3, 7), you would need to go to the left, meaning you would reverse the slope until you reach the y-axis, so you would use -2 as the slope. 3*-2=-6, and 7-6=1, so the y-intercept would be 1. The answer would be y=2x+1. Hope this helps.
Please help
What is the inverse of the function f(x) = 4x + 8?
Answer:
A) h(x) 1/4x -2
Step-by-step explanation:
x=4y+8
x-8=4y
y=1/4x-2
Answer:
(A) h(x) = 1/4 x – 2
Step-by-step explanation:
♥☺
Pete was paid $30 for babysitting his cousin. He now has exactly enough money to buy a bike that costs $100.
Pete’s friend, Jim, has 150% of the amount Pete had before babysitting. How much money does Jim have?
He had 105 dollars. 150%=1.5 and 100-30=70 so 70x1.5 =105
6. Calculate the slope of the line given the two points: (4,9) and (7,11).
Angle DFG and Angle JKL are complementary angles. mAngle DFG= x+8.0 and mAngle JKL= x- 5.8 Find mAngle JKL
Answer:
m<JKL = 38.1
Step-by-step explanation:
We are given 2 angles, <DFG and <JKL, which are complementary angles, also that m<DFG = x+8.0 and m<JKL = x-5.8
Complementary angles are angles that add up to 90.
This means that m<DFG plus m<JKL is equal to 90.
As an equation, that would be:
m<DFG + m<JKL = 90
We can substitute m<DFG and m<JKL with their measures.
x + 8.0 + x - 5.8 = 90
Combine the x's.
2x + 8.0 - 5.8 = 90
Subtract 5.8 from 8.0.
2x + 2.2 = 90
Subtract 2.2 from both sides
2x = 87.8
Divide both sides by 2.
x = 43.9
We found the value of x, but we aren't done yet. The question wants us to find the measure of <JKL.
Remember that m<JKL=x-5.8
So, replace 43.9 as x and subtract 5.8 from it.
m<JKL = x-5.8 = 43.9 - 5.8 = 38.1
Write the equation of the line through (2,4) with a slope of 2/3 in Point Slope Form
Answer:
y - 4 = 2/3(x - 2)
Step-by-step explanation:
The format for point-slope form is: y - y₁ = m(x - x₁)
where m is the slope, x₁ is the x-coordinate and y₁ is the y-coordinate.
In (2,4), 2 is the x-coordinate and 4 is the y-coordinate.
The slope is 2/3.
When you plug in the values, you get:
y - 4 = 2/3(x - 2)
Hope this helps!
Your friend first multiplies each side of 1/2 (x-9)=3/4 (5x+1) by 4 when solving the equation. Why might your friend do this?
Answer:
x = (-39)/11
Step-by-step explanation:
Solve for x:
x - 9 = (3 (5 x + 1))/4
Multiply both sides by 4:
4 (x - 9) = (4×3 (5 x + 1))/4
(4×3 (5 x + 1))/4 = 4/4×3 (5 x + 1) = 3 (5 x + 1):
4 (x - 9) = (3 (5 x + 1))
Expand out terms of the left hand side:
(4 x - 36) = 3 (5 x + 1)
Expand out terms of the right hand side:
4 x - 36 = (15 x + 3)
Subtract 15 x from both sides:
(4 x - 15 x) - 36 = (15 x - 15 x) + 3
4 x - 15 x = -11 x:
-11 x - 36 = (15 x - 15 x) + 3
15 x - 15 x = 0:
-11 x - 36 = 3
Add 36 to both sides:
(36 - 36) - 11 x = 36 + 3
36 - 36 = 0:
-11 x = 3 + 36
3 + 36 = 39:
-11 x = 39
Divide both sides of -11 x = 39 by -11:
(-11 x)/(-11) = 39/(-11)
(-11)/(-11) = 1:
x = 39/(-11)
Multiply numerator and denominator of 39/(-11) by -1:
Answer: x = (-39)/11
The area of a rectangle is 15 square inches. What wil be the area, in square inches, of the rectangle after it is dilated by a
scale factor of 2?
Answer:
60 inches²
Step-by-step explanation:
Unit test
Find the value of x
Answer:
97
Step-by-step explanation:
The interior angles of a hexagon add up to 720 degrees.
The angles given add to 613 degrees.
720-613=107
107=x+10
x=97
How many inches are in 2miles?
There are 126,720 inches in 2 miles
how do i write a linear equation and graph it
PLEASE HELP NOW!! thanks:))
Answer:
I think it is A
Step-by-step explanation:
Answer: IT is the second option
Plzzzz help, it’s due today
Simplify 13.21.
O 63
O 24
O None of the above
O 3/7
Answer:
C
Step-by-step explanation:
Hopefully this helps
can someone help with this?
Answer:
8 km
Step-by-step explanation:
To find the side square the hypotenuse and subtract it with the square of leg b.
289-225=64
square root of 64 is 8. Side a is 8
What is an equation of the line that passes through the point (2,-5) and is parallel
to the line 6x +y = 6?
Answer:
y = -6x + 7
Step-by-step explanation:
In this question, we need to find the equation of a line with the given information.
We know that the line passes through (2, -5).
We also know that the line is parallel to the line 6x + y = 6, which means that it has to have the same slope.
To make it simpler to understand, we can change the equation into slope format:
y = -6x + 6
This means that our new line should have a slope of -6.
With the information above, we can plug in our new values to get the y-intercept of our equations, since we don't have that information.
Plug in your slope and coordinates to the y = mx + b equation and solve for b:
-5 = -6(2) + b
-5 = -12 + b
Add 12 to both sides.
7 = b
Our y-intercept would be b.
Now, we can plug in all our information to get our new equation:
y = -6x + 7
Your answer would be y = -6x + 7
15-18, use the properties of the exponents to write an equivalent expression for each given expression.
15. (4⁴)³
16. 3¹²
3³
17. 4⁵ • 4²
18. 6⁴ • 2⁴
please help!
15.
[tex]( {4}^{4} ) {}^{3} [/tex]
[tex] = {4}^{4 \times 3} [/tex]
[tex] = {4}^{12} [/tex]
[tex] = 16777216[/tex]
___________________________________________
16.
[tex] \frac{ {3}^{12} }{ {3}^{3} } [/tex]
[tex] = {3}^{12 - 3} [/tex]
[tex] = {3}^{9} [/tex]
[tex] = 19683[/tex]
___________________________________________
17.
[tex] {4}^{5} \times {4}^{2} [/tex]
[tex] = {4}^{(5 + 2)} [/tex]
[tex] = {4}^{7} [/tex]
[tex] = 16384[/tex]
___________________________________________
18.
[tex] {6}^{4} \times {2}^{4} [/tex]
[tex] = ({6 \times 2})^{4} [/tex]
[tex] = {12}^{4} [/tex]
[tex] = 20736[/tex]
4x - 2(x - 4) = -8 + 4x +4
solve the equation please
Answer:
X=6
Step-by-step explanation:
First distribute
ie: 4x-2x+8=-8+4x+4
Next combine like terms
ie: 2x+8=-4+4x
Next subtract 2x from each side and add 4 to each side
ie: 12=2x
Then divide 2 from each side to get x alone
ie: 6=x
Help ill make you brainlist write in y=mx+b form
Answer:
y=4x-35
Step-by-step explanation:
please mark as brainliest
Answer:
y = 3/12x
Step-by-step explanation:
18 - 12 = 6
37 - 13 = 24
6/24 = 3/12
Select all the rates that are unit rates.
1. [tex]\frac{1}{1/3}[/tex]
2.[tex]\frac{2/3}{1}[/tex]
3. [tex]\frac{2}{3}[/tex]
4. [tex]\frac{3}{1}[/tex]
5. [tex]\frac{1}{9}[/tex]
Please help me im confused on what I do here..
Which statement about 2 + 3x is true?
A. There are four terms in 2 + 3x.
B. 2 + 3x is a quotient.
C. 2 + 3x is a product.
D. 3 is the coefficient of x.
Answer:
3 is the coefficeint of x
Step-by-step explanation:
Solve -(10x + 1) + 4(x- 1) = -23
Answer:
x = 3Step-by-step explanation:
-(10x + 1) + 4(x- 1) = -23 expand-10x - 1 + 4x - 4 = -23 combine similar terms-10x + 4x = -23 + 1 + 4 simplify-6x = -18 divide -6 both sidesx = -18 / -6 simplifyx = 3Please help and show how you got to the answer!
Answer:
22.66666666666667
Step-by-step explanation:
jkjkjkjkjkjkj
help pls thanks guys
Answer:
-2.4
Step-by-step explanation:
Let the unknown number be x.
-3.7 = -1.3(1) + x
-3.7 = -1.3 + x
x - 1.3 = -3.7
x = -3.7 + 1.3
x = -2.4
Will mark brainliest for whoever answers
Answer:
A
Step-by-step explanation:
A
Solve 8 the question and I’ll mark you brainliest ⭐️⭐️⭐️⭐️⭐️ but if you cheat I’ll report your answer
Evaluate
41+31
21
Answers 10’ 8’ 15
Answer:
the answer its 15 I hope helps you
Step-by-step explanation:
its 54 your welcome because i did this from khan and i got it 54 right so its 54
Answer:
What's you question?
Step-by-step explanation:
If r+9=42 does r+9-9=42+9
Answer:
no i dont think so
Step-by-step explanation:
Express 80% as a percent as a decimal
Answer:
Step-by-step explanation:
0.8
Answer:
80% as a decimal would be 0.8
This is because 80% of 1 would be 0.8
Helppppppppppppppppppppppppppppppp
Answer:
-4
Step-by-step explanation:
Looking at the points, one is at (-2,5) and another is at (-1,1)
The line goes down 4 and it goes 1 to the right
The slope is rise over run. In this case the rise if -4 and the run is 1.
-4/1 = 4