Need help!! algebra!!!
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answers
Answer:
The length of each side is (2a-5) units
Step-by-step explanation:
4a^2 - 20a +25
= (2a)^2 - 20a + (-5)^2
=(2a - 5)^2
(9a^2 - 16b^2)
= (3a)^2 - (4b)^2 this is the difference of two squares, the factors are therefore
= (3a + 4b) * (3a - 4b)
The dimensions of the rectangle are:
one pair of opposite sides are 3a + 4b
and the other pair of opposite side perpendicular to the first pair is 3a - 4b
Answer:
Step-by-step explanation:
Related Questions
267.4 divided by 1\10
Answers
Answer:
2674
Step-by-step explanation:
267.4 divided by 1/10 is the same as 267.4/.10 which you can use a calculator and solve that easly.
Or you can do 267.4/1 times 10/1 because when you are dividing, you flip the second number and mutply instead of divide. And when doing that, the answer is the same.
What is the value of the 3 in the number 738?
(please help )
Answers
Because the value of 7 is 700 and the value of 8 is 8
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the
same rate for the cost of one hot dog, how many more hot dogs would Winston need
to sell to earn a total of $175.00?
Show your work.
Answers
Answer:
He would need to sell 14 more hotdogs
Step-by-step explanation:
140/56= 175/x
140x= 9,800
x= 70
56-70= 14
What is the are of the triangle?
Answers
Answer:
48 units²
Step-by-step explanation:
Area=1/2 box=hight
area=1/2×12×8
area=48
hope it helps
have a great day
Answer:
48
Step-by-step explanation:
Victoria has a jewelry box shaped like a rectangular prism! Please help!!
Answers
Answer:
C.
Step-by-step explanation:
Length * width * height = volume
15*9*9 = 1215
I will give you brainliest answer if u help me with 4 problems
Answers
2x° + 14°
60°
X=
degrees.
Answers
2x=46
x=23
Answer:23
Step-by-step explanation:
23232332323223323232323232323
Allison used 2 cups of flour to make a
cake, and of a cup of flour to make
a pie. If she started with 4 cups of
flour, how many cups of flour does she
have left?
Answers
Answer:
wouldnt she have 1
Step-by-step explanation:
well there might be a typo with and of a cup of flour but ya
I think it would be one
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Answers
u wanna make yards into feet.
1 yard = 3 feet
since there is 14
14x3 = 42 feet
and since there is still 2 feet
u add them 42+2
44 feet (b)
Answer:
44
Step-by-step explanation:
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answers
Answer:
y = 8x + 86
Step-by-step explanation:
Answer:
choice 2) y = 8x + 86
Step-by-step explanation:
Find cot theta if 180° < theta < 270° and cos theta = - sqrt 3/2
Answers
Answer:
cot theta = -√3
Step-by-step explanation:
we are given that cos theta = - √3/2 within the range 180° < theta < 270° and
since cos theta = adj/hyp
adj = - √3
hyp = 2
Get the opposite using the pythagoras theorem
hyp^2 = opp^2 + adj^2
2² = opp² + (-√3)²
4 = opp² + 3
opp² = 4-3
opp² = 1
opp = 1
tan theta = opp/adj
tan theta = - 1/√3
Recall that cot theta = 1/tan theta
cot theta = 1/(-1/√3)
cot theta = -√3
Please HELP ME !!! PLEASE HELP ME !!!
Answers
Answer:
B. [tex]x^{M+N}[/tex]
Step-by-step explanation:
Can somebody please help me with this ?
Answers
Answer:
8x, 2x^2, 6xy, 5y.
Step-by-step explanation:
Hello, 5x+3x would be 8x since 5+3 is 8. 7x^2-5x^2 would be 2x^2 since 7-5 is 2 (exponents stay the same). 2xy+4xy is 6xy since 2+4 is 6. Lastly, 8y-3y is 5y since 8-3 is 5.
The Wiggins Family ate dinner at a restaurant. The total cost of the meal was $85.60. The family left a 15% tip for the waiter. How much money was the total bill? (Make sure you type your answer using $ and the decimal)
Fast please
Answers
Answer:
$98.44
Step-by-step explanation:
You already know how much the actual dinner was so all you have to do is figure out how much 15% of the $85.60 is which is $12.84 meaning that they left a tip of $12.84 for the waiter. Then you would just add the cost of the dinner with the tip to get the total amount they spent. $85.60 + $12.84 = $98.44. So the total amount the Wiggins spent is $98.44
1
An expression is shown below.
75-33 • 17 - 10
What value is equivalent to this expression?
A 156
B.
48
C 144
D-6
Answers
Tell whether the statement is true or false.
{ {4, 16, 24, 7, 37} = (37, 16, 7,42,4}
Answers
Answer:
false
Step-by-step explanation:
i dont understand kinda
but if you add it,
88<106
so false
Express 1/3 as a repeating decimal and round to the nearest hundredth.
Answers
Answer:
1/3 is .333... so you can write .33.... or .33 with a line on top of the 3's
Step-by-step explanation:
.3 is in the tenths and .33 is in the hundredths place
Someone please help me, I can't figure this out. I already asked this but I got a file. Please no files, I'm begging, I just want my math answers. Thank you,
(Look in image for question)
(Measurements are 4cm, 10cm, 5cm, 6cm, and 5cm).
Answers
Answer:
I believe the volume is 120 and the surface area is 124
Step-by-step explanation:
What is the domain and the range of: (2,3), (3,5), (2,7), (4,8)
Answers
Answer:
Domain: {2, 3, 4 }
Range: {3, 5, 7, 8}
Step-by-step explanation:
hope this helps and is right. p.s. i really need brainliest :)
You bought some grapes at a farm stand. You paid $2.48 per pound. The pounds are (3.25). What was the total amount that you paid for the grapes?
Answers
Answer:
You paid $8.06
Step-by-step explanation:
3.25 pounds times $2.48 per pound is 8.06.
Can I have brainliest pls :D
Hope this helps
2. Write the equation of the circle with a center at
(-2, -8) and a radius of v10.
A. (x + 2)^2 + (y + 8)^2 = 25
B. (x - 2)^2 + (y – 8)^2 = 10
C. (x + 2)^2 + (y + 8)^2 = 10
D. (x + 2)^2 + (y + 8)^2 = 100
E. (x - 2)^2 + (y - 3)^2 = 100
Answers
Answer:
C. [tex] (x +2) ^2 +(y+8)^2 =10 [/tex]
Step-by-step explanation:
Center of the circle (h, k) = (-2, - 8)
Radius [tex] r=\sqrt {10}[/tex]
Equation of circle in center radius form is given as:
[tex] (x - h) ^2 +(y-k) ^2 =r^2 [/tex]
Plugging the values of h, k and r in the above equation, we find:
[tex] [x - (- 2)] ^2 +[y-(-8) ]^2 =(\sqrt {10})^2 [/tex]
[tex] (x +2) ^2 +(y+8)^2 =10 [/tex]
If anyone can help me I’d be glad. I’m not the best at geometry :/
Answers
Answer:
C) 1.25
Step-by-step explanation:
The hypotenuse is the sloping side.
The base is the bottom side.
The triangles are similar, so you can use the sides of either triangle. Let's use the side lengths of the smaller triangle.
Length of hypotenuse: 5
Length of base: 4
Ratio of hypotenuse to base: 5/4
To find a decimal value, divide 5 by 4. Use a calculator or long division.
5/4 = 1.25
Answer: C) 1.25
Select the correct answer.
The function g(x) = x is transformed to obtain function h:
h(x) = g(x) - 5.
Which statement describes how the graph of h is different from the graph of g?
OA. The graph of h is the graph of g vertically shifted down 5 units.
OB.
The graph of h is the graph of g horizontally shifted right 5 units.
OC. The graph of h is the graph of g horizontally shifted left 5 units.
D. The graph of h is the graph of g vertically shifted up 5 units.
Answers
Answer:
A
Step-by-step explanation:
equation is of the form f(x) - a which implies a translation downwards of a units
A high school student working a part time as a cook
Answers
Answer:
Is there supposed to be a picture???
Step-by-step explanation:
Ashley selected 5 essays from each student in her class. Each student wrote the same number of essays. Is this sample of the essays written by the class likely to be biased?
Answers
Answer:heheheheheheheheheh
Step-by-step explanation:
im funny
Help me please and B
Answers
Answer:
answer a
Step-by-step explanation:
Write the polynomial in factored form as a product of linear factors:
p(a) = a^3 + 3a^2+ 9a + 27
zeros of polynomial.
Answers
Answer:
Step-by-step explanation:
p(A) = a^3 + 3a^2 + 9a + 27
put brackets around the 1st and second terms and another set around the 3rd and 4th
P(a)= (a^3 + 3a^2) + (9a + 27)
Using the distributive property, pull out the common factor for each of the 2 terms that contain the brackets.
P(a) = a^2 ( a + 3) + 9(a + 3)
Let a + 3 = x
P(a) = a^2x + 9x
Put brackets around these 2 terms
P(a)= x(a^2 + 9)
Substitute a + 3 for x
P(a) = (a + 3) ( a^2 + 9)
What’s the correct answer for this?
Answers
Answer:
2 one
Step-by-step explanation:
Solve the triangle. Round decimal answers to the nearest tenth.
Answers
Answer:
[tex]AB= 20.9[/tex]
[tex]A = 33.2^\circ[/tex]
[tex]C = 54.8^\circ[/tex]
Step-by-step explanation:
Given
The above triangle
Required
Complete the lengths
To do this, we make use of sine rule.
[tex]\frac{a}{\sin A} = \frac{b}{\sin B}[/tex]
[tex]\frac{14}{\sin A} = \frac{24}{\sin 70}[/tex]
[tex]\frac{14}{\sin A} = 25.54[/tex]
Cross multiply
[tex]\sin A * 25.54 = 14[/tex]
[tex]\sin A = \frac{14}{25.54}[/tex]
[tex]\sin A = 0.5482[/tex]
Take Arc sine of both sides
[tex]A = sin^{-1}(0.5482)[/tex]
[tex]A = 33.2^\circ[/tex]
To calculate C, we have:
[tex]C = 180 -A-B[/tex] --- angles in a triangle
[tex]C = 180 -55.2-70[/tex]
[tex]C = 54.8^\circ[/tex]
Calculate length AB using the sine rule.
[tex]\frac{AB}{sin C} = \frac{AC}{B}[/tex]
So, we have:
[tex]\frac{AB}{sin 54.8} = \frac{24}{sin 70}[/tex]
Make AB the subject
[tex]AB= sin 54.8*\frac{24}{sin 70}[/tex]
[tex]AB= sin 54.8* 25.54[/tex]
[tex]AB= 20.9[/tex] -- approximated
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
Angles and XWY and STR
Step-by-step explanation:
These two angels are alternate exterior angels because:
- They are on different sides of the transversal (the line intersecting the two parallel lines)
- They have the same angle measure
- They are exterior, meaning they are on the outside, not inside (interior)
Hope this helps!!! :)