Answer:
x = -4
Step-by-step explanation:
1. (2x2 + 8x) - (x2 - 16) = 0
2. Factoring x2+8x+16
The first term is, x2 its coefficient is 1 .
The middle term is, +8x its coefficient is 8 .
The last term, "the constant", is +16
Step-1 : Multiply the coefficient of the first term by the constant 1 • 16 = 16
Step-2 : Find two factors of 16 whose sum equals the coefficient of the middle term, which is 8 .
-16 + -1 = -17
-8 + -2 = -10
-4 + -4 = -8
-2 + -8 = -10
-1 + -16 = -17
1 + 16 = 17
2 + 8 = 10
4 + 4 = 8 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 4 and 4
x2 + 4x + 4x + 16
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x+4)
Add up the last 2 terms, pulling out common factors :
4 • (x+4)
Step-5 : Add up the four terms of step 4 :
(x+4) • (x+4)
Which is the desired factorization
Multiply (x+4) by (x+4)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+4) and the exponents are :
1 , as (x+4) is the same number as (x+4)1
and 1 , as (x+4) is the same number as (x+4)1
The product is therefore, (x+4)(1+1) = (x+4)2
(x + 4)2 = 0
3.
Solve : (x+4)2 = 0
(x+4) 2 represents, in effect, a product of 2 terms which is equal to zero
For the product to be zero, at least one of these terms must be zero. Since all these terms are equal to each other, it actually means : x+4 = 0
Subtract 4 from both sides of the equation :
x = -4
Answer:
x = -4
Step-by-step explanation:
=> 2x²+8x = x²-16
=> 2x²- x² + 8x + 16 = 0
=> x² + 8x + 16 = 0
Using mid-term break formula
=> x² + 4x + 4x + 16 = 0
=> x(x+4)+4(x+4) = 0
=> (x+4)(x+4) = 0
=> (x+4)² = 0
Taking square root on both sides
=> x+4 = 0
=> x = -4
Y=10 when x=8 what is x when y=30
Answer:
X= 24
Step-by-step explanation:
Y was multiplied by 3 to equal 30, so same rules are applied and you multiply 8 by 3
Answer:
28 or 24 im not sure which
Identify the relationship complementary, or vertical and find the value of x.
Wouldn’t it be complementary?
Also, I know how to find x, I’m just wondering what’s the relationship.
Answer:
It is complementary.
Step-by-step explanation:
It is since the two angles add up to 90 degrees. If they were vertical angles they would be opposite and be made by intersecting lines. Complementary angles - Angles next to each other that add up to 90 degrees. Supplementary angles : Angles that are next to each other adding up to 180 degrees.
Could someone help me please
Answer:
Cannot
Can
Cannot
Cannot
Step-by-step explanation:
10+3 < 18
16+8>23
6.5+3.4 < 10.8
7+7< 23
Answer:
what's the question men let me no
Help me answer this
Answer:
The answer would be 10.
Step-by-step explanation:
10 is the number that has the most number of dots above it.
In how many ways can you
select a group of 6 friends to
invite over from a group of
22 friends?
Answer:74613
Step-by-step explanation:
n!/r!(n-r)!
22!/6!(22-6)!
=74613
What is the area of the figure? A. 360 km² B. 432 km² C. 720 km²
D. 864 km²
The answer is 360km^2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
please help me asap
Answer:
that's the lowest term actually
Solve for n. 11(n – 1) + 35 = 3n plz help
[tex]answer \\ = - 3 \\ solution \\ 11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3 \\ hope \: it \: helps[/tex]
find the constant of proportionality: 84 miles per 4 hours
Answer:
k = 21 miles per hour
Step-by-step explanation:
The constant of proportionality is
k = 84/4
k = 21 miles per hour
Answer:
[tex]21 \: \: \: miles \: \: \: per \: \: \: hour[/tex]
Step-by-step explanation:
[tex]4 \: \: \: hours = 84 \: \: miles \\ 1 \: \: \: hours = x[/tex]
Use cross multiply
[tex]4x = 84 \\ \frac{4x}{4} = \frac{84}{4} \\ x = 21[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
John’s garden has an area of 28 square feet. The rectangular garden is 7 feet long. What is the width of the garden
Answer:
the width is 4
Step-by-step explanation:
7 times 4= 28
or
28 divided by 7
Antone is taking four of his friends to see the latest movie. Each ticket is $5.50, and he is paying for all five tickets. How much money does Antone need to bring to pay for all of the tickets? A. $22.00 B. $27.50 C. $88.00 D. $110.00
Answer: $27.50
Step-by-step explanation:
For all 5 tickets, Antone will pay
5 * 5.50 = 27.50
Answer:
B
Step-by-step explanation:
if your have 4096 cube
A) find the maximum dimensions of a cube u can make?
B) the big cube in a) is re-arrange into a cuboid which has a 4 cube height and a square base area, what is the maximum area of cuboid base
Answer:
a) [tex]\sqrt[3]{4096} = 16[/tex]
b) 4096/ 4 = 1024
Step-by-step explanation:
Find the area of the following kite. Please help me
Answer:
56
Step-by-step explanation:
The larger half is 4*10=40
The smaller half is 4*4=16
40+16=56
The area of the given kite is 56 square units and it has two diagonals of lengths 14 and 8 units.
The are of kite is product of diagonals by two.
Area of kite = (Diagonal 1 × Diagonal 2)/2.
Diagonal 1= 10+4
=14 units.
Diagonal 2= 4+4
=8 units.
Now plug in these values in above formula:
Area of kite = (14×8)/2
=112/2
=56 square units.
To learn more on Area click:
https://brainly.com/question/20693059
#SPJ4
Please help me answer these two questions!! Brainliest to be given!!
Answer:
a=2
b=93
I hope this helps you
Step-by-step explanation:
Answer:
1. 2
2. 93
Step-by-step explanation:
First we have to put the values of x and y into the equation
4(3)-2(5)
(4×3)-(2×5)
12-10=2
Now the second one
2(3)²+3(5)²
18+75=93
Please help! It’s an easy multiple choice question. Question in the photo.
Answer:
Step-by-step explanation:
Just so you know, the answer is NOT B, as one person stated.
In order for a right triangle to be a right triangle, 2 things have to happen. One is that it has a hypotenuse, which by definition, is the longest side in a right triangle. To test to see if that hypotenuse is actually a hypotenuse, the square of it has to be equal to the sum of the squares of the other 2 sides. Let's test a first.
Keeping in mind that the longest side has to be the hypotenuse, in a. our hypotenuse would have to be 17. Using Pythagorean's Theorem to test:
[tex]8^2+15^2=17^2[/tex] and
64 + 225 = 289 and
289 = 289. So a is a right triangle. Now for b:
[tex]20^2+21^2=29^2[/tex] and
400 + 441 = 841 and
841 = 841. So b is also a right triangle. Now for c:
[tex]9^2+16^2=18^2[/tex] and
81 + 256 = 324 and
337 = 324. Obviously, 337 does not equal 324, so c is not a right triangle.
. Obviously, 337 does not equal 324, so c is not a right triangle.
Really need help can someone help me with this problem plz! I need help asap! Someone plz help me plz plz help me!
Answer:
x = 358. / Maximum amount of money for sales = $3,759
Step-by-step explanation:
x + 26 = 384. Inverse operations
-26. -26
x = 358
358($10.50) = $3,759
A washing machine requires 27.5 minutes
to wash one load of laundry. A clothes
dryer requires 60% more time than the
washing machine to dry one load of
laundry. What is the total amount of time
it takes to wash and dry one load of
laundry?
-4x - 3(2x + 8) = 36 solve for x
Answer:
x = -6
Step-by-step explanation:
-4x - 3(2x + 8) = 36
-4x - 6x - 24 = 36
-10x = 60
-x = 6
x = -6
Answer:
[tex]x = - 6[/tex]
Step-by-step explanation:
[tex] - 4x - 3(2x + 8) = 36 \\ - 4x - 6x - 24 = 36 \\ - 10x = 36 + 24 \\ - 10x = 60 \\ \frac{ - 10x}{ - 1 0} = \frac{60}{ - 10} \\ x = - 6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Stefani took a science test. she answered 42 questions correctly. There were 50 questions on the test. What percent of the questions did she get right?
Answer:
She get 84% right
Step-by-step explanation:
42 x 2 = 84
50 x 2 = 100
Answer:
84%
this is the picture of how I solved it.
hope you understand.
A number is decreased by seven. Then, the new number is multiplied by 3 to get an answer of -9. What is the original number? ( please hurry i need to finish my assesment )
A.) - 4
B.) - 30
C.) 4
D.) 30
Answer: -4
Step-by-step explanation:reverse the steps
3(x-7)= -9
3(x-7)/3= -9/3
x-7= -3
x= -3+7
x= -4
Which of the following is equal to the ratio of the circumference of a circle to its diameter?
Answer:
Im pretty sure its the 1st one
Step-by-step explanation:
Answer:
option 3 π
Step-by-step explanation:
Circumference = πd
Circumference : diameter = πd : d
= π : 1 = π
Kelsie sold digital cameras on her website . She bought the cameras for $65 each and includes a 60% markup to get the selling price . To the nearest dollar , what was the selling price for one camera ?
Answer:
$104
Step-by-step explanation:
First, convert 60% to a decimal.
60% = 0.6
Now, multiply the cost to buy the camera ($65) by the decimal.
$65 × 0.6 = $39
Now, add this amount to the amount it cost to buy the camera.
$65 + $39 = $104
The selling price for the camera will be $104.
Answer:
The answer is $104
Select all of the equations for which x = -4 *
1 point
x + 4 = 0
-3x = 12
x - 4 = -8
x + 4 = 4
Answer:
x + 4 = 0. / -3x = 12. / x - 4 = -8
Step-by-step explanation:
x + 4 = 0
-4. -4
x = -4
-3x = 12
÷-3. ÷-3
x = -4
x - 4 = -8
+ 4. +4
x = -4
x + 4 = 4
-4. -4
x = 0
The total cost of a pair of jeans and three shirts is $114. The shirts each cost the same amount, and the jeans are $45.
What is the price per shirt?
a.) $69
b.) $23
c.) $53
d.) $159
Answer:
23
Step-by-step explanation:
j = jeans
s = shirt
j + 3s = 114
jeans = 45
45+ 3s = 114
Subtract 45 from each side
45-45+3s = 114-45
3s =69
Divide each side by 3
3s/3 =69/3
s = 23
Each shirt is 23
Answer:
b.) 23
Step-by-step explanation:
114-45=69
69/3=23
What is the correct formula for calculating a 3 x 3 determinant?
a)abc+def+ghi-adg-beh-cfi
b)adg+beh+cfh-abc-beh-cfi
c)aei+bfg+cdh-gec-hfa-idb
Answer:
C
Step-by-step explanation:
just did it on edge
Can someone help me solve this?
Answer:
233.5
Step-by-step explanation:
step 1. A=wl=8·20=160
step 2. A=wl=6·12=72
step 3. A=ab
2=3·1
2=1.5
step 4. 160+72+1.5= 233.5
10x + 8 = 3(x - 2)
10x + 8 = 3x
Answer:
1) -2
2) 8/7
Step-by-step explanation:
1) 10x+8=3(x-2)
10x+8=3x-6
10x-3x=-6-8
7x=-14
x=-2
2) 10x+8=3x
10x-3x=8
7x=8
x=8/7
Hope it helps
What is the value of 0?
Answer:
It is 0
Step-by-step explanation:
A : The distance around a closed figure B: The space within a closed figure C : Measure using the distance formula D : measure in units squared
Answer:
C : Measure using the distance formula
Step-by-step explanation:
A Venn diagram is a diagram which shows the relation of all different sets
Just like it is given in the attachment there is a relation between the perimeter and the area.
The distance formula is
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 }[/tex]
where,
[tex](x_1, y_1)[/tex] is the first point coordinates
[tex](x_2, y_2)[/tex] is the first point coordinates
By using the distance formula as discussed above shows the intersection of the Venn diagram
Hence, the correct option is C.
Fong has 28$ he shares it between his two sisters in the ratio of 3:4 how many money does each sister get?
Answer:
One sister gets 12 and the other gets 16
Step-by-step explanation:
Sister A : sister B: total
3 4 3+4 =7
Take the total amount and divide by 7
28/7 = 4
Multiply each side by 4
Sister A : sister B: total
3 *4 4*4 7*4
12 16 28
