Answer:
[tex](5y + 1)^{2} - (2(y - 1))^{2} [/tex]
Step-by-step explanation:
1) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y - 1 ).
[tex](5y + 1) ^{2} - (2(y - 1)) ^{2} [/tex]
2) Use multiplication Distributive Property: (xy)^a = x^a y^a.
[tex](5y + 1)^{2} - {2}^{2} (y - 1 {)}^{2} [/tex]
3) Simplify 2² to 4.
[tex](5y + 1 {)}^{2} - 4(y - 1 {)}^{2} [/tex]
4) Rewrite it in the form a² - b², where a = 5y + 1 and b = 2(y-1).
[tex](5y + 1 {)}^{2} - (2(y - 1))^{2} [/tex]
Therefor, the answer is ( 5y + 1 )² - (2( y - 1 ))².
find the length of missing side x
Answer: x=24 the formula for hypotenuse is A^2 +b^2=c*2 but we have c^2 so to get a leg you do c^2- a leg and in this cas you get 24
Step-by-step explanation:
Solve for x. -4x + 6(6– 2x) = -7x – 36 Select one:
a. -7
b.15
c.8
d.3
Answer:
8
-4x+6(6-2x) = -7x - 36
-4x+36-12x = -7x-36
-16x+36 = -7x-36
-16x +7x = -36-36
-9x = -72
x = 72/9
x = 8
Pythagorean therom HELPPPO
Answer:
6
Step-by-step explanation:
change up the formula so:
sqrt (10^2-8^2)= 6
WHAT IS THISSSSSSSSSSSSS
Answer:
1 is to 2
Ie
1/2
Step-by-step explanation:
hope it helps
Answer:
2 to 1
which equals 2
Step-by-step explanation:
if you look at point B (2,1) and B’ (4,2)
we can see that each value is multiplied by 2
I need help on this homework
Answer:
Tn=a(n-1)d
T50=261(50-1)-5
T50=12784
9. If ground beef costs $4.98 for 3 pounds, then what is the unit rate (cost per
pound)?
(a) What is the unit rate (cost per pound)? Don't forget units!
(b) Explain how you found the unit rate.
Explanation:
Answer:
1.66 pounds
Step-by-step explanation:
4.98 dollars divided by 3 pounds
The function table below represents the linear function y = 4x – 3. Which answer represents the outputs of the function table
Answer:
Here we can not see the options, so i will answer in a general way.
When we have a function y = f(x), we define:
x as the input
y as the output.
so f(x) is some kind of "machine", in wich we put an input x, and the "machine" does something and returns an output y.
In, this case, we have:
y = f(x) = 4*x - 3
then if we give this function different inputs, we will get different ouputs.
for example, if we use the input x = 0, then the output is:
y = f(0) = 4*0 - 3 = -3
Then if we made a table for inputs and outputs, we will have the data:
[tex]\left[\begin{array}{ccc}inp&out\\x&y\\0&-3\end{array}\right][/tex]
We can rewrite this table in a general way as:
[tex]\left[\begin{array}{ccc}inp&out\\x&4*x - 3\end{array}\right][/tex]
This means that for every input x, the output is always 4*x - 3.
To complete this type of tables, we usually use different values of x, for example here I will use some different ones:
y = f(3) = 4*3 - 3 = 12 - 3 = 9
y = f(10) = 4*10 - 3 = 40 - 3 = 37
y = f(-1) = 4*-1 - 3 = -4 - 3 = -7
Then we will have a table like:
[tex]\left[\begin{array}{ccc}inp&out\\3&9\\10&37\\-1&-7\end{array}\right][/tex]
Concluding, the thing that will always represent the output of our function is: 4*x - 3.
Please answer quickly
Answer:
1 1/2
Step-by-step explanation:
What is the family of the equation y = 4 x ^ 2 − 1 ?
Answer:
Step-by-step explanation:
y = 4x^2 - 1
Is a Polynomial equation of degree 2.
Also called a quadratic equation.
Question 4 (1 point)
Two paths in a park intersect so that one of the angles at the intersection is 75°
What are the three other angle measurements formed by the intersection?
Answer:
105 degrees (x2) & 75 degrees
Step-by-step explanation:
Consecutive Angle Formulas
Farah harvests 20 pounds of tomatoes from her garden. She needs 4 4/5 pounds to make a batch of soup. Additionally, if she uses 5.6 pounds of tomatoes to make spaghetti sauce, how many batches of soup can Farah make?
Answer:
1 batch
Step-by-step explanation:
Farah needs 4 and 4/5 pounds of tomatoes & and additional 5 and 3/5 pounds of tomatoes to make soup.
4.8 + 5.6 = 10.5 pounds per soup
10.5*2 = 21 > 20 pounds
Farah would need one more pound of tomatoes in order to make 2 batches of soup. Therefore she can only make 1 batch.
The graph of a function f is shown below. Find f(-1).
PLEASE HELP ASAP THANKS
A right triangle has a side length of 8, 15 and x, where x is its longest side. What must be the value of x?
Group of answer choices
17
19
18
Answer:
17Step-by-step explanation:
We can find the longest side I.e. Hypotenuse using pythogorean theorem.
[tex] {8}^{2} + {15}^{2} = {x}^{2} \\ 64 + 225 = {x}^{2} \\ 289 = {x}^{2} \\ x = \sqrt{289} \\ x = 17[/tex]
This is your answer hope it helps :)
Answer:
17?
Step-by-step explanation:
a squared + b squared = c squared (hypothenuse longest side)
square them, then add them and square root them.
The area of a trapezoid is 60 square feet the bases of the trapezoid are 8 feet and 12 feet, what is the height?
6ft
4ft
3ft
15ft
Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.
WILL GIVE BRAINLEST IF ANSWERED IN 1 MINUTE OR LESS!!!!!!!!
Answer:
Answer: z * 1 =
Step-by-step explanation:
So, add da numbers to get dat
Answer:
2z + 3 = 5
Step-by-step explanation:
2z + 3 = 5 Subtract 3 from both sides
2z = 2 Divide both sides by 2
z = 1
can you help me find the slope of these queastions?
Answer:
1. B
2. A
3. I
4. I
These should be correct
resuelve la siguiente desigualdad: 2x>-6
Answer:x>-3
Step-by-step explanation:
Step-by-step explanation:
la respuesta es -12 pero le puedes sacar la mitad osea -6
Emma's Pizza can make 12 pizzas in 40 minutes. How many pizzas can they make in 5 hours?
Answer:
90
Step-by-step explanation:
Change 5 hours to minutes. (5x60, and 300 minutes)
Divide 300 by 40. (7.5)
Then, multiply 7.5 by 12 (90)
Answer:
90 pizzas
Step-by-step explanation:
We know 5 hours = [tex]5\times60 = 300[/tex] minutes
If you consider 20 minutes as a period, 5 hours .as well as 300 minutes. contains [tex]\frac{300}{20} = 15[/tex] periods.
Emma can make 12 pizzas in 40 minutes.
So she can make 6 pizzas in 20 minutes (in half time)
In 1 period she makes 6 pizzas.
In 15 periods she makes [tex]15\times6 = 90[/tex] pizzas (Answer.)
how do i put that on a line?please help me.
You deposit 10,000 into a savings account that compounds quarterly. The account has an interest rate of 3.7%. What would be the value of the investment after 30 year
Answer:
30189.155
Step-by-step explanation:
Recall the compound interest formula :
A = P(1 + r/n)^nt
P = principal = 10000
r = rate = 3.7% = 0.037
n = quarterly = 4
t = 30
A = 10000(1 + 0.037/4)^30*4
A = 10000(1 + 0.00925) ^120
A = 10000(1.00925)^120
A = 10000 * 3.0189155
A = 30189.155
Citlali was traveling at 60 miles per hour. she has already traveled 120 miles. To get to california which is 360 miles from home, and traveling at the same average speed, how many more hours will it take before he arrives in california?
Answer:
4 more hours
Step-by-step explanation:
First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.
Hope this helps
Solve for x and y simultaneously
Pls help me
Step-by-step explanation:
Are the roots equal or unequal
Evaluate ba+cd if a=7/8 , b=−7/16 , c=0.8 , and d=1/4 . Write your answer as a mixed number in simplest form.
Answer:
-117/640
Step-by-step explanation:
ba + cd
b= -7/16
a= 7/8
c= 08.(4/5)
d= 1/4
Hence it can be calculated as follows
-7/16×7/8 + 4/5×1/4
-49/128 + 1/5
-246+128/640
= -117/640
Answer: -2 11/20
Step-by-step explanation I did this and it is correct
Need help with the correct answer please! Thank you. Which two triangles are congruent by the SSS Theorem? I picked D but that is the wrong answer.
Answer:
B
Step-by-step explanation:
RQ=TV
QS=VU
RS=TU
While proving that 2 triangles are congruent you have to consider the same side for both triangles.
The mistake you made was that you presumed that since both have equal sides they are equal,
In a sense that is true but you have align it in the correct way, in option D) it shows RQ is equal to TU which is wrong, RQ is equal to VT, you have align it in a proper way.
B) ΔRQS ≅ ΔTVU here it is align perfectly to be matched
Happy to help :)
If you need any more help, you can ask me
I need the answer for the question -4(x-10)+8 for my homework please.
Answer:
i think the answer is
-4x+48
Which expression is equivalent to 4m + 3?
A. 2(2m + 3)
B. -2(-2m + 3)
C. (-2)m - (-1)3 + (-2)2m
D. (-2)m - (-3)1 + (2)3m
Answer:
D)
Step-by-step explanation:
4m+3
Three prime numbers that can be multiplied to get 825
Answer:
Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.
Step-by-step explanation:
Hope this helps!
Answer: 3, 5, and 11
3 * 5 * 5 * 11
Step-by-step explanation:
Make a factor tree for 825
825
/ \
5 165
/ \
5 33
/ \
3 11
Find the 7th term of the geometric progression which begins -6250, 1250, -250....
Answer:
a(7) = -0.4
Step-by-step explanation:
The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio. In this problem, a(1) = -6250. To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.
Then the formula for THIS geometric progression is
a(n) = -6250*(-0.2)^(n - 1).
Thus, the 7th term of THIS progression is
a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4
Answer:
a₇ = - [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The nth term of a geometric progression is
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then
a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]
Please answer quickly thank you!
The Martinez Family has driven 240 miles so far. Their total trip is 300 miles. What percentage of the trip have they already driven
Answer:
90%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation: