The value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.
To make the equation x2 – 12x = 1 look similar to the completing the square kind of expression where the left hand side of the equation becomes a perfect square, we must do the following;
First, the completing the square method usually takes the form; x² + bx = (x + b/2)² + cIn this scenario, the term (x² - 12x) can be rewritten as; (x - 6)² - 36.
This so because the expansion of (x - 6)² becomes;
x² - 12x + 36.Therefore, there's a need to subtract 36 from both sides of the equation so that the equation x2 – 12x = 1 is retained.
Therefore, the value to be added to both sides of the equation to make the left side a perfect square trinomial is; -36.
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Jeff drank 15 ounces of Gatorade after running a race. There were 20 ounces left. How
much Gatorade was originally in the container?
Variable:
Equation:
Solution:
Xander goes to the movies with his family. Each family member buys a ticket and two boxes of popcorn. If there are five member of his family, let t represent the
cost of a ticket and p represent the cost of a box of popcorn. Write two different expressions that represent the total amount his family spent. Explain how each expressions describes the situation in a different way.
Answer:
10
Step-by-step explanation:
there are five members 2x5 = 10
Will mark brainliest
Please help with these two questions for me
refer to attachments
Attachment 1=Solution 1Attachment 2=Solution 2
2 (-2x + 4) = 2 (-2x + 4)
What is the solution to the inequality 13 x + 3 < 42 ?
Answer:
x < -15
Step-by-step explanation:
Here is the solution:
-3x-42 > 3
Add the numbers
-3x > 45
Divide both sides of the inequation by -3 and flip the inequality sign.
x < -15
ANSWER FOR A CHANCE TO WIN A TESLA MODEL X
(image down below)
Answer:
all right angles are congruent (90 degrees)
Step-by-step explanation:
I don't know if there are choices for you, but all right angles are congruent, meaning they are the same measurement
IN THE FIGURE BC IS PARALLEL TO AD. AREA OF TRIANGLE ABC IS 100 cm². WHAT IS THE AREA OF TRIANGLE BCD
Answer:
150 cm2
Step-by-step explanation:
double of triangle abc is 200
this is in middle of both
What is the sum of the addition equation 0.6 + 0.2 = ________? Use the decimal grid to help you solve. (2 points)
a decimal grid partitioned into ten equal parts, with six parts shaded orange and two parts shaded purple
Group of answer choices
0.4
0.6
0.8
1
the sum of eight times a number and fifteen is seven. find the number.
If a 1/4 gallon of paint covers a 1/6 of a wall continuing at this rate how much paint is needed for the entire wall
Answer:
1 1/2 gallons
Step-by-step explanation:
1/4 * 6 = 6/4 = 3/2
1/6+1/6+1/6+1/6+1/6+1/6 = 1 whole wall
that means it takes 6 times 1/4 gallon to finish the wall
Will mark 50 points for whoever answers correctly !
Answer:
Correctly !
Step-by-step explanation:
4(x-8)+12 equal 2(2x-9)
(Answer explained)
4(x-8)+12=2(2x-9)
We move all terms to the left:
4(x-8)+12-(2(2x-9))=0
We multiply parentheses
4x-(2(2x-9))-32+12=0
We calculate terms in parentheses: -(2(2x-9)), so:
2(2x-9)
We multiply parentheses
4x-18
Back to the equation:
-(4x-18)
We add all the numbers together, and all the variables
4x-(4x-18)-20=0
We get rid of parentheses
4x-4x+18-20=0
We add all the numbers together, and all the variables
-2!=0
There is no solution for this equation
look at screen shot.ty
Answer:
See belowStep-by-step explanation:
We see the triangle ABC and AED with common vertex at the point A.
1. The center of dilation is the point A as it remains unchanged after dilation and the other vertices are lined up with the point A.
2. Since the scale factor is 1/2 < 1, the dilation is a smaller triangle, which is AED
Andre lives 1.6 km from school. Kelsey lives 50% as far from school as Andre. How far, in km, does Kelsey live from school?
Answer:
0.8 km
Step-by-step explanation:
just divide 1.6km by 2
9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.
Answer:
55.2
Step-by-step explanation:
First Multiply
9.2*6
Answer:52
Step-by-step explanation:9.2 g of sugar is needed for every cake made how much sugar is needed for six cakes.
D
100%
+
X
Which is the best estimate for V34 to the nearest whole number?
A. 36
ОО
B. 35
C. 17
O
O
D. 8
E. 6
Answer:
The answer would be B 35.
Step-by-step explanation:
34 is closest to 35.
Simplify
x + x + x + y X y X y
Answer:
3x+y³
Step-by-step explanation:
x+x+x+y×y×y3x+y³5.
The table shows a meteorologist's predicted temperatures for an October day in Sacramento,
California.
Sacramento, CA
Predicted
a) What is a quadratic model for these data?
Time Temperature ("F)
8 AM
10 AM
64
b) According to the regression equation, at what time
will the temperature be the highest?
12 P.M.
72
78
2 P.M.
4 P.M.
81
6 PM
76
Answer:
b
Step-by-step explanation:
can anyone help me with this problem with a full explanation?? thank you
Answer:
1, 3, 5
Step-by-step explanation:
let the 3 consecutive odd numbers be n , n + 2 , n + 4 , then
5(n + 2) = 2(n + n + 4) + 3 ( 5 times 2nd = twice sum of 1st and 3rd + 3 )
5n + 10 = 2(2n + 4) + 3
5n + 10 = 4n + 8 + 3
5n + 10 = 4n + 11 ( subtract 4n from both sides )
n + 10 = 11 ( subtract 10 from both sides )
n = 1
n + 2 = 1 + 2 = 3
n + 4 = 1 + 4 = 5
The 3 consecutive odd numbers are 1, 3, 5
Step-by-step explanation:
let the three consecutive odd number be x + 1 , x + 3 , x + 5
a/q
5 times the middle number = 5(x + 3) is
3 more than twice the sum of 1st and 3rd number = 3 + 2(x+1 + x + 5 )
so,
= 5 ( x + 3 ) = 3 + 2 ( x + 1 + x + 5 )
= 5x + 15 = 3 + 4x + 12
= 5x + 15 = 4x + 15
= -4x + 5x = 15 - 15 = 0
= x = 0
so, the 3 consecutive odd numbers are,
x + 1 = 1
x + 3 = 3
x + 5 = 5
and also a/q
5 times the middle number = 5×3 = 15
is equal to 3 more than twice the sum of 1st and 3rd number = 3 + 2(1+5) = 12 + 3 = 15
LHS = RHS
hope this answer helps you dear...take care and may u have a great day ahead!
PLEASE ANSWER FAST
Type the correct answer in the box. Use numerals instead of words.
A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is
Answer:
y-intercept is -18
Step-by-step explanation:
The total y=mx+b equation is y=4x-18, you can check in a calculator. I checked on a graphing calculator, and solved it via graphing on a piece of paper.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is -18.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A line that passes through the point (x, y), with a y-intercept of b and a slope of m, can be represented by the equation,
y = mx + b.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = 4 (given)
So, the equation of the line is,
y - y₁ = m(x - x₁) equation 1
And here
x₁ = 3 and y₁ = -6.
Substituting the values to the equation 1,
y - (-6) = 4 (x - 3)
y+6 = 4x -12
y = 4x -18.
Comparing with the slope-intercept form,
we get y-intercept b = -18
Therefore, the equation is y = 4x -18 and y -intercept of the equation is -18
To learn more about the slope;
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the product of a number and -3 increased by 8 is no less than 35
Answer:
-3x + 8 ≥ 35, hopefully that answers your question since you didn't really specify what you wanted your answer to be
is -10 equal to 4 what is the answer
Question 5 (4 points)
(04.05)
Which description best describes the graph? (4 points)
A graph is shown. The line begins at the origin and moves in a downward curve through the points 1 comma -1, 2 comma -3, and so on
a
Linear increasing
b
Linear decreasing
c
Nonlinear increasing
d
Nonlinear decreasing
Answer:
The answer is D
Step-by-step explanation:
Write the equation of the line that passes through the given points. (-1. -1.5) and (0, – 3.5)
PLEASE ANSWER I WILL GIVE A BRAINLIEST ANS THANKS!!!!<333!
Answer:
17. i
18. a
19. g
20. d
21. h
22. j
23. b
24. f
25. c
26. e
What are the things circled called? You can answer the question fully too if you’d like. I really need help in understanding this.
PLEASE ANSWER ASAP BREAIANEST!!!!
Answer:
I believe it is -11/8 cups
Help me tyyyyyyyyyyyyyyy
Answer:
option number 3
Step-by-step explanation:
Solve for x ... please help
Answer:
[tex]7x + 49 \degree = 2x + 94\degree \\ 7x - 2x = 94\degree - 49 \degree \\ 5x = 45\degree \\ x = \frac{45}{5} \\ x = 9 \\ check \\ 7(9) + 49 = 112\degree \\ 2(9) + 94 = 112\degree[/tex]
Find the values of p and q such that 4x-5-x^2=q-(x+p)^2
Answer:
p = - 2 , q = - 1
Step-by-step explanation:
Rearrange the left side into standard form
- x² + 4x - 5
Factor out - 1 from - x² + 4x
= - (x² - 4x) - 5
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² tp x² - 4x
= - (x² + 2(- 2)x + 4 - 4) - 5
= - (x - 2)² - (- 4) - 5
= - (x - 2)² + 4 - 5
= - 1 - (x - 2)²
Comparing to q - (x + p)²
with p = - 2 and q = - 1