Answer:
I believe it could be any number because:
let y=any number
x^2+10x+y=16+y
x^2+10x+y-y=16+y-y
x^2+10x=16
you can add any number to both side and not change the solution.
The student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___
What is quadratic equation?"It is an equation with degree two.""The general form of quadratic equation is ax² + bx + c = 0"What is the method of completing the square?To complete the square for quadratic equation ax² + bx + c = 0 means we make the left hand side of the equation a perfect square.
1) First divide both the sides of the equation by the coefficient of x² that is 'a'
2) Add or subtract both the sides of the equation by (b/2)² that is complete the square
3) Solve the resulting equation to find the roots of the equation
For given example,
We have been given a quadratic equation x² + 10x+ ___ = 16 + ___
By comparing given equation with ax² + bx + c = 0,
we have a = 1, b = 10
To complete the square for given quadratic equation we add (b/2)² on both the sides.
⇒ (b/2)² = (10/2)²
⇒ (b/2)² = 5²
⇒ (b/2)² = 25
So, the quadratic equation would be,
⇒ x² + 10x + 25 = 16 + 25
⇒ (x + 5)² = 41
⇒ x + 5 = ±√41
⇒ x = -5 ± √41
So, the solutions of the quadratic equation would be x = -5 + √41 and x = -5 - √41
Therefore, the student should add 25 to both the sides of the quadratic equation x^2 + 10x+ ___ = 16 + ___
Learn more about the completing the square here:
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Pls HELP I BEG YOUUUU
Answer:
x = 60
Step-by-step explanation:
(x+22) + (x+6) + (x-28) = 180
x + 22 + x + 6 + x - 28 = 180
x + x + x + 22 + 6 - 28 = 180
3x = 180
x = 180/3
x = 60
What is the point-slope form of an equation
for a line that passes through the point (-1, 5) wit
the slope m = -7/16 ?
Answer:
y=-7/16x+73/16
Step-by-step explanation:
katie is using fabric to create skirts for her friends each skirts uses 5/6 a yard of fabric how much fabric does she need to create 9 skirts
Answer:
10.8
divide 9 by 5/6
can you find the radius
Answer:
radius is 6.5
I hope it's helps you
There are five marbles in
a bag. Three are green and
two are yellow You draw a
marble replace it, and then
crow another. What is the
product of choosing two
yelow marbles
Answer:
Step-by-step explanation:
2 to 5 or 2:5
or
2 to 3 or 2:3
If John earns 20% more than Mary does, then Mary must earn 20% less than John does.
Answer:
True, yes, fact, there's no answer choices so sorry if this doesn't hep
Step-by-step explanation:
n times 5 is equal to 24
word in equation and solve for variable
Step-by-step explanation: Remember that "times" mean multiply.
So reading the problem from left to right, we have n times 5,
that's n multiplied by 5 or 5n, is means equals, 24.
So we have 5n = 24.
We want to solve our equation for n so we want to get
n by itself on the left side of the equation.
Since n is being multiplied by 5, we need to divide both sides
of the equation by 5 and we have n = 24/5.
Don't be nervous to check your answer back in
the original equation even if it is a fraction.
We all hate to bring change to a store. By using random numbers, we can eliminate the need for change and give the store and the customer a fair deal. Suppose you buy something for 20 cents. If the store generated a random number using the cash register (call the random number R), what rule could they use to decide whether you should pay $1 or $0 for the item
Answer:
Round off to closest value.
Step-by-step explanation:
In order to remove the requirement for change, every time the client buys a product for $0.20 the random number that lies between 0 and 1 would be produced also the same would be rounded to the closest value i.e. 0 or 1. In the case when 0 arise so the customer would not have to pay any amount but if 1 arise so the customer have to pay $1. So this type of method would remove the requirement for a minor change
Please help all answers
Answer:
Why? Sometimes i do it for the points so I can ask a question. I'm doing it right now
Step-by-step explanation:
What is the area of the top of the can
if the radius is 8 cm?
Answer:
64π
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Find the lateral surface area of the triangular prism.
A)
420 cm?
B)
480 cm?
c)
540 cm
D)
620 cm
Answer:
the correct answer is C. 540cm
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
lateral area =Pb*h
= 48(10)
= 480
which is B
if my answer helps please mark as brainliest.
Gabriela has dinner at a café and the cost of her meal is $45.00. Because of the service, she wants to leave a 15% tip. What is the total cost of her meal?
Answer:
the answer is 51.75
Step-by-step explanation:
K+22=17 would be K=15 right plz correct me if I'm wrong
Answer:
k = -5
Step-by-step explanation:
if anyone knows the answer would you mind showing me
URGENT! Please answer
help please !! ASAP
---------------------------------
Use the ratio table to solve the percent problem.
What percent is 6 out of 30?
2%
6%
20%
30%
Answer:
20%
Step-by-step explanation:
6x5=30
20x5=100
Answer:
30 is the correct answer
jess is driving to a town 210 miles away with a speed of 60 miles per hour. if he makes no stops, how long will the trip take?
in hours?
Answer:
3 and a half hours
Step-by-step explanation:
just divide 210 by 60
How long will it take $50,000 take to double if it is compounded continuously at
13% interest rate?
I WILL GIVE BRAINLEST ASAP
Solve.
−8y ≥ 56
a. y ≤ −7
b. y ≥ 7
c. y ≤ 7
d. y ≥ –7
Answer:
I believe y ≤ -7 Sorry if I am incorrect
Step-by-step explanation:
Simplify.
−6x+86−32x−12+52x
Enter your answer in the box.
Do not use decimals in your answer.
Answer: 14x+74
Step-by-step explanation:
-6x+86-32x-12+52x=14x+74
-6x+86-32x-12+52x
=-6x-32x+52x+86-12
=14x+86-12
=14x+74
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The final expression after simplifying is 14x + 74.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example:
2 + 3x + 4y = 7 is an expression.
3x + 4 = 3 is an expression.
3 + 4x - 5 is an expression.
We have,
-6x + 86 - 32x - 12 + 52x
Add like terms.
-6x - 32x + 52x = 14x
Now,
14x + 86 - 12
14x + 74
Thus,
The final expression after simplifying is 14x + 74.
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Evaluate
2a+2b when a=10.8 and b=8.3.
please help if your good at geometry. find a
Answer:
a = 1.8 to the nearest tenth.
Step-by-step explanation:
Remark
I don't think this case is ambiguous. It has only 1 solution, I think.
Step One
Find the top angle.
All triangles have 180 degrees.
15 + 105 + x = 180
120 + x = 180 Subtract 120 from both sides
x = 180 - 120
x = 60
Step Two: Find a
a/sin(60) = 2/Sin(105) Multiply both sides by sin(60)
a = 2 * Sin(60) / sin(105)
a = 2 * .8660 / 0.9659
a = 1.793
Subtract.
78.9−5.64 Pls help
Answer:
73.26
Step-by-step explanation:
I hope this helps :)
Answer:
73.26 is your answer.
Step-by-step explanation:
Bert has 40% more jelly beans than Vicki. What fractional part of Bert's
jelly beans must be given to Vicki so that they each have the same number
of jelly beans? Express your answer in lowest terms.
Answer:
2/5
Step-by-step explanation:
If Vicki has 100 jelly beans then Bert would have 140. Bert would have to give 40 out of his 140 to Vicki or 40/100 -> 4/10 -> 2/5. Bert would have to give 2/5 of his jelly beans to Vicki.
Find the equation of the line thank you
Answer:
y=3/4x-2
Step-by-step explanation:
Answer:
y=3/4x-2
Step-by-step explanation:
y-intercept: -2
slope: 3/4
Encuentra las soluciones de las siguientes ecuaciones:
a) 8x -(2-3x) = 18
b)12-(4x - 6) = 5x
c)4. (x + 3) - (1 - x)= 1
d)3. (2x - 1) +21=5. (3x - 2) + 1
e)-2(x + 6) + 2 = -4- (10-2x)
Answer:
20
Step-by-step explanation:
Step-by-step explanation:
a.27.9
b. -13
Substitute the given value and evaluate the expression: ( 27 1/2 + E squared) ÷ 1/3, for E is = 5
Answer: 115.5
Step-by-step explanation:
[tex]\frac{(27 * \frac{1}{2} + e^{2} )}{\frac{1}{3} } \\\\e = 5\\\\\\27 * 0.5 + 5^{2} = 13.5 + 25 = 38.5\\\\\frac{38.5}{\frac{1}{3} } = 3 * 38.5 = 115.5[/tex]
find the missing number in this proportion.
[tex] \frac{48}{80} = \frac{6}{?} [/tex]
Simplify the expression. -10 + (-5w) + (-3W) + 12w
Answer:
so 5w +3w=8w+12w= 20w -10 so the answer is 20w-10 that is how I learned
One of the base angles of an isosceles triangle measures 68º. The base of the triangle measures 13
centimeters. What is the perimeter of the triangle? Round intermediate results to 3 decimal places and
the final answer to 1 decimal place
Answer:
Step-by-step explanation:
x = 6.5/cos(68°) = 17.352
Perimeter = 2x + 13 = 47.7 cm