Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
if a+b= -1 then the value of a^3+b^3 - 3ab= ?
Answer:
-1
Step-by-step explanation:
[tex](a + b)^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) \\ ( - 1)^{3} = {a}^{3} + {b}^{3} + 3ab( - 1) \\ - 1 = {a}^{3} + {b}^{3} - 3ab\\ \\ \huge \red{ \boxed{{a}^{3} + {b}^{3} - 3ab = - 1}}[/tex]
Jerry is counting his shirts. he notices that for every 5 black t-shirts in his drawer he has two red t-shirts. if he owns 28 t-shirts how many black t-shirts does jerry own?
Answer:
20
Step-by-step explanation:
6x^2=21x-9 Need help learning factoring please put work so I can understand
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answer:
according to my point of view I guess it is the law of syllogism
the valid conclusion is likely to be that Tommy has an oven
PLEASE HELP I WILL MARK YOU BRAINLIEST.
Answer:576cm
Step-by-step explanation:
Multiply length width
And height
Answer:
[tex] \boxed{ \bold{ { \boxed{ \sf{576 \: cubic \: centimeters}}}}}[/tex]
Step-by-step explanation:
Given,
Length of the rectangular prism ( l ) = 16 cm
Height of the rectangular prism ( h ) = 4 cm
Width of a rectangular prism ( w ) = 9 cm
Finding the volume of the rectangular prism. having length of 16 cm , width of 9 cm and height of 4 cm
[tex] \boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}[/tex]
[tex] \longrightarrow{ \sf{volume \: = 16 \times 9 \times 4}}[/tex]
[tex] \dashrightarrow{ \sf{576 \: {cm}^{3} }}[/tex]
Hope I helped!
Best regards! :D
simplify the following: 11^6/11^4
Answer:
11² or 121
Step-by-step explanation:
simplify the following: [tex]11^6/11^4[/tex]
Remember when bases are the same powers can be subtracted (or added)
[tex]\frac{11^6}{11^4}=11^{(6-4) }\\\\\\11^{2}=121\\[/tex]
:)
I need help w thsi 30+6ft=11ft
Answer:
6 i think
Step-by-step explanation:
30+6ft=11ft
-6 -6
30=5
30/5=6 5/5=1
6=1
Terry bought a home that home that had an attached one-car garage and a screened porch that spanned the length of the home. If the garage measured 16' in depth which was half the depth of the house and the screened porch was 64' in width, what is the GLA of the house?
Answer: 2048SF
Step-by-step explanation:
From the question, we are informed that Terry bought a home that home that had an attached one-car garage and a screened porch that spanned the length of the home.
We are further told that the garage measured 16' in depth which was half the depth of the house and the screened porch was 64' in width. Since the garage measured 16' in depth which was half the depth of the house, this means that the total depth of the house will be:
= 16' × 2
= 32'
Therefore, the GLA of the house will then be the full depth of the house multiplied by the screened porch. This will be:
= 32' × 64'
= 2048SF
Solve for 3x + 5(x - 2) = 14
HELPPPPPPPPPPP!!!!!!
Answer:
2x
Step-by-step explanation:
The width of the outer frame - inner frame
= 8 [tex]\frac{3}{4}[/tex] - 4 = 2x
Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. Which of the equations below shows the amount y that Rashida charges for a bike rental that lasts x hours? A y = 10 + 4x C y = 4 + 10x B y = 10 - 4x D y = 4 - 10x
Answer:
Step-by-step explanation:
y = 4x + 10
the answer is A
1. Estimate
Square root 5
Answer: 25
Step-by-step explanation: 5^2 = 25, 5x5 = 25
Hope this helps!
2.2
did that help at all
e=300-10 (30)
How to solve it step by step
Answer:
Step-by-step explanation:
e = 300-10(30)
e = 300 - 300
e = 0
A card is picked a random from the following set:
6,7,8,9
What is P(9)? Write as a Percentage
Answer:
25%
Step-by-step explanation:
There are 4 cards. Each one is a different number.
Only one card is a 9.
p(9) = 1/4 = 0.25 = 25%
Which of the following is an equation in the form y = ax2 + bx + c of the parabola shown in the graph? Show your work.
A. y = −5x2 − 20x − 65
B. y = −5x2 − 20x − 20
C. y = −x2 − 27x − 90
D. y = −5x2 + 20x + 25
Answer:
Option D. y = – 5x² + 20x + 25
Step-by-step explanation:
We'll begin by obtaining the solutions to the equation from the graph. This can be obtained as follow:
The solutions are simply the values through which the graph cuts the x-axis.
The solutions are x = – 1 and 5.
Next, we shall obtain the equation for the graph as follow:
x = – 1 Or x = 5
x + 1 = 0 or x – 5= 0
(x + 1) (x – 5) = 0
Expand
x(x – 5) + 1(x – 5) = 0
x² – 5x + x – 5 = 0
x² – 4x – 5 = 0
Multiply through by 5
5x² – 20x – 25 = 0
Rearrange
0 = 0 – (5x² – 20x – 25)
= – 5x² + 20x + 25
Thus, the equation is:
y = – 5x² + 20x + 25
- 32x - 40
What is the first step that I should do
I take it that you're trying to solve for the variable (x), so by using the order of operations (PEMDAS), the first step is to add 40 to both sides of the equation as addition cancels out subtraction.
[tex] - 32x - 40 = 0[/tex]
[tex] - 32x = 40[/tex]
From there you will divide by -32 and simply the fraction.
[tex]x = - \frac {40}{32} [/tex]
[tex]x = - \frac{5}{4} [/tex]
I hope this helps, but please let me know if this is not what you're trying to do.
3. -(0.5x +0.25) = -38
Answer:
-75.5 I think
Step-by-step explanation:
-0.5x-0.25=-38
add 0.25 on both sides.
-0.5=-37.75
-75.5
Answer:
now we need to find x
x will be found by finding what you have to multiply to get to 38
-0.25 x 152= -38 so x= 152
The coefficient of first term of a polynomial written in standard (descending order) form is called the _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ coefficient
Answer:
The leading coefficient
Step-by-step explanation:
Canada has a population that is about 1 10 as large as the United States. If Canada's population is about 32 million, about how many people live in the United States? Explain the number of zeros in your the answer.
Answer:
320,000,000
Step-by-step explanation:
15/2 is (greater than, less than, or equal to) the square root of 55?
First make 15/2 a mixed number
7 1/2
Or in decimal form its 7.5.
Find the square root of 55
Around 7.4
15/2 is greater
13.) Solve for M
14.) Solve for A
17.) Solve for H
Answer:
See Below (Isolate the variables)
Step-by-step explanation:
13) d = 4AM solve for M
Divide both sides by 4A
[tex]\frac{d= 4AM}{4A}[/tex]
[tex]\frac{d}{4A} = M[/tex]
14) [tex]\frac{A}{6}[/tex] = f+h solve for A
Multiply both sides by 6
A = 6( f+h)
15) h - m = qb solve for H
Add m to both sides
h - m = qb
+ m +m
h = qb + m
which integer is closest to √55 ?
Answer:
when you simplify √55
you get
7.41619848.....
the integer closest to 7.41619848... is 7
So the answer is 7
Please Help Thank You So Much
This is inequalities
Knowing that 6 < x < 7 and 10 < y < 12, find all possible values of:
b). y − x
d). y / x
You don't need a graph to solve this.
I kinda need this today.
Answer:
all the possible values of y - x are 4 and 5
all possible values of x/y = 1
In x-5=9, the correct way to isolate the variable is to
Answer: x=14
Step-by-step explanation:
Add 5 to both sides to get the x alone and get your answer.
A square garden has an area of 1,600 square feet. How long is each side of
the garden?
16
40
80
160
Answer:
40
Step-by-step explanation:
why? because 40x40=1600
ali is writing a computer program. last week he wrote 25 lines of code each day for 5 days. this week her wrote 42 more twice the number of lines of code he wrote last week. how many lines of code he wrote altogether for his computer program
Answer:
292 lines of code
Step-by-step explanation:
1.) Multiply. 25 times 5 = 125
2.) Multiply previous answer by 2 (because he wrote twice as much). 125 times 2 = 250
3.) Add 42 to previous answer. 250 + 42 = 292
An expression has a division symbol and a subtraction symbol. Is there any situation in which you would perform the subtraction before the division
how do I solve 3+k/14=4
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{k = 53}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: \: \frac{3 + k}{14} = 4}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Do cross multiplication
[tex] \hookrightarrow{ \sf{3 + k = 4 \times 14}}[/tex]
[tex] \tt{Step \: 2}[/tex] : Multiply the numbers : 4 and 14
[tex] \hookrightarrow{ \sf{3 + k = 56}}[/tex]
[tex] \tt{Step \: 3 \: }[/tex] Move 3 to right hand side and change it's sign
[tex] \hookrightarrow{ \sf{k = 56 - 3}}[/tex]
[tex] \tt{Step \: 4 \: }[/tex] Subtract 3 from 56
[tex] \hookrightarrow{ \sf{k = 53}}[/tex]
The value of k is 53
Hope I helped!
Best regards! :D
~TheAnimeGirl
Answer:
Step-by-step explanation:
k/14 + 3 = 4
k/14 = 1
k = 14
Determine the measure of the angle labeled (4x + 7)
I'm very confused please help ASAP
Answer:
8 degrees
Step-by-step explanation:
4x+7=6x−9
Step 1: Subtract 6x from both sides.
4x+7−6x=6x−9−6x
−2x+7=−9
Step 2: Subtract 7 from both sides.
−2x+7−7=−9−7
−2x=−16
Step 3: Divide both sides by -2.
-2x/-2 =-16/-2
Equals to X=8
x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?