5x³y+10xy²
we can factorise
5xy(x^2+2y)
Find the values of x and z
Answer:
z = 92 degrees
x = 6
Step-by-step explanation:
z and the angle that measures 92 degrees are vertical angles which means they are congruent. So, z = 92 degrees.
The total measure of all these angles is 360 degrees. Subtract 92*2 from 360 and divide the answer by 2. You get 88.
88 = 9x + 34
Solve for x.
x = 6
Answer:
z = 92°x = 6Step-by-step explanation:
For x:
Write and algebraic equation: 92 + (9x + 34) = 180Combine like terms: 126 + 9x = 180Subtract 126 from each side, so it now looks like this: 9x = 54Divide each side by 9 to cancel out the 9 next to x. It should now look like this: x = 6For z:
Because the 92° angle and z make a vertical angle, 92° = z°I hope this helps!
The roots of $y^2 + 5y - 11 = 0$ are $a$ and $b$. Find $(a + 3)(b + 3).$
Since a and b are roots of y² + 5y - 11, we have
y² + 5y - 11 = (y - a) (y - b)
and expanding the right side gives
y² + 5y - 11 = y² - (a + b) y + ab
so that
a + b = -5
ab = -11
Now,
(a + 3) (b + 3) = ab + 3 (a + b) + 9
(a + 3) (b + 3) = -11 + 3 (-5) + 9
(a + 3) (b + 3) = -17
Which equation represents this problem? The time it takes Tomás to bike to the community center is 2 minutes less than half the time it takes him to bike to the city park. It takes Tomás 18 minutes to bike to the community center. Let p = the time it takes Tomás to bike to the park.
A. 2p+12=18
B.12p+2=18
C.2p–12=18
D.12p–2=18
Answer:
The equation that represents this problem is [tex]\frac{1}{2}[/tex] p - 2 = 18 ⇒ D
Step-by-step explanation:
Let us solve the question
∵ p is the time it takes Tomás to bike to the park
∵ The time it takes Tomás to bike to the community center is 2 minutes
less than half the time it takes him to bike to the city park
→ That means multiply p by [tex]\frac{1}{2}[/tex] , then subtract 2 from it
∴ The time to the community center = [tex]\frac{1}{2}[/tex] (p) - 2
∴ The time to the community center = [tex]\frac{1}{2}[/tex] p - 2
∵ It takes Tomás 18 minutes to bike to the community center
→ Equate The time to the community center by 18
∴ [tex]\frac{1}{2}[/tex] p - 2 = 18
∴ The equation that represents this problem is [tex]\frac{1}{2}[/tex] p - 2 = 18
What is the image of the point (0, 5) after the reflection over the line x = 5?
Answer:
(10, 5)
Step-by-step explanation:
(0, 5) reflected over x=5 becomes 10 units away from x = 0
Multiply (-3x4y3z)(-4x2y3z).
Answer:
-3×4ycube z square (-4)×2y3
-12cube z square (-4)×2y3
48ycube z square×2y3
96ycube z square y cube
288y3 (yz)square
I hope you will understand these squares or cubes
Brandon bought a baseball on for $15.00. He had a coupon for a 20% discount. How much was the discount?
Answer:
3
Step-by-step explanation:
I have been working with precents so think I got this one right! hope this helps you!! :D
If g (x ) = 3(4)x, what is the value of g (2)?
What is the period of this periodic function?
A) π/4
B) 5π/2
C) 3π/4
D) 4π/3
let me know thank you
3х - 4y ≤ -20 helppppp
Answer:
I suppose that you want to find the region of solutions.
We start with the inequality:
3х - 4y ≤ -20
To solve this, will be easier to write this as a linear relationship, we can do this as follows:
3x - 4y ≤ -20
-4y ≤ -20 - 3x
y ≥ (-20 - 3x)/-4
(Notice that the "direction" of the sign changes, this is because we divided both sides by a negative number).
y ≥ 5 + (3/4)*x
Now we have the equation of a line, and we know that y will be equal or greater than the line, this means that we need to draw the line and shade all the area above the line, as shown in the graph below:
Carey needs $60 to buy her mothers a gift. She has saved 25% of that amount so far. How much has she saved so far?
Answer:
15$
Step-by-step explanation:
To calculate how much is 25% of the $60 is we multiply 60 with 25 then divide it with
60 × 25 ÷ 100 = 15 is the amount she has saved so far.
Find the equation of the line?
Answer:
Y=-1/4x-6
Step-by-step explanation:
A set of 5 consecutive integers sums to 10. What are the integers?
Answer:
Let x be the smallest integer (the first integer)
1st: x, 2nd: x + 1, 3rd: x + 2, 4th: x + 3, 5th: x + 4
Hence,
x + x + 1 + x + 2 + x + 3 + x + 4 = 10
5x + 10 = 10
5x = 0
x = 0
Therefore, the answers are
0, 1, 2, 3, 4
Step-by-step explanation:
Integers include all positive integers, negative integers and 0.
0 is an integer but it is neither positive nor negative.
Use the figure to find the measure of <6. Explain your reasoning.
2 points
152
2
4
5
6
8
S
Your answer
Answer:
∠ 6 = 28°
Step-by-step explanation:
152° and ∠ 5 are corresponding angles and are congruent, then
∠ = 152°
∠ 5 and ∠ 6 are adjacent angles and are supplementary, thus
∠ 6 = 180° - 152° = 28°
PLEASE HELPPPPP!!!!
write an equation of line line in slope intercept form (0,3) and (1,2)
[tex]y = - x - 3[/tex]
✧◝(⁰▿⁰)◜✧
A large amount of money is spent on promotional activities in the United States every year. The average budget breaks down as follows 50% for advertising 30% for sales promotion, and 20% for trade promotion. Use these percentages to calculate the amount a company will spend on each type of promotion if its overall budget is $400,000.
Answer:
Iam here to ruin your day sry nothing personal.
Mary has 2 1/3 yards of fabric.
She wants to cut the fabric into 1/6 yard strips.
Answer:
so what should we do it is incomplete answer
Step-by-step explanation:
42
Answer:
14
Step-by-step explanation:if she cut the pices into 1/6 pices she would have 14 of them so the answer is 14.
Tylond puts $5,000 into a savings account that earns 4% simple interest. How much interest does he earn after
3 years?
Answer:
5,6241
Step-by-step explanation:
I have no idea if this is correct but I hope it is. I hope this helps.
What is the discriminant of the quadratic equation
x^2– 7x-9=0
50 points pls help quick
The map shows the migration of the ancient Hebrews prior to the Exodus.
A map titled Hebrew Migration. A key shows Location where Hebrews settled with a star and Path of Hebrew migration with a purple line. Stars are located near Canaan and the Nile Delta. A purple line begins at Ur, follows the Euphrates River northwest, and then moves south through Canaan into Egypt.
Which statement about the migration of the ancient Hebrew people does the map best support?
The ancient Hebrew people left Ur and went directly to Egypt.
The ancient Hebrew people settled along the Euphrates River.
The ancient Hebrew people migrated from Ur to Canaan and then to Egypt.
The ancient Hebrew people migrated from the Persian Gulf to the Red Sea.
Answer:
The ancient Hebrew people migrated from Ur to Cannan and then to Egypt
Answer:
The ancient here's people migrated from Ur to Canaan and then to Egypt.
Step-by-step explanation:
The stars show where they were migrating witch started from Ur and left.Then went to Canaan where the star is located;and finally Egypt which is where the final star is at.
What is 2(x-4)+4(45x+6)
Answer:
182x + 16
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
2(x - 4) + 4(45x + 6)
Step 2: Simplify
Distribute: 2x - 8 + 180x + 24Combine like terms (x): 182x - 8 + 24Combine like terms (Z): 182x + 16Answer:
Step-by-step explanation:
here you go mate
step 1
2(x-4)+4(45x+6) equation
step2
2(x-4)+4(45x+6) distribute
(2)(x)+(2)(-4)+(4)(45x)+(4)(6)
2x+(-8)+180x+24
step 3
2x+-8+180x+24 combine the like terms
(2x+180x)+(-8+24)
182x+16
A bookshop has an offer. "Buy one book and get one free!" Ria gets 8 books from the shop with that offer. The normal price of each book is £6.99. How much does Ria spend?
Answer: £27.96
Step-by-step explanation:
Since the bookshop has an offer. "Buy one book and get one free!" and we are told that Ria gets 8 books from the shop with that offer. This simply means that Ria bought 4 books and also got 4 free.
Since the normal price of each book is £6.99 and Ria bought 4 books, the amount Ria spend will be:
=£6.99 × 4
= £27.96
Prove that tan22° + tan23° + tan22°. tan23° = 1
Answer:
Hope you got it....
Step-by-step explanation:
1=tan45∘
1=tan(22∘+23∘)
1=tan22∘+tan23∘1−tan22∘tan23∘
1−tan22∘tan23∘=tan22∘+tan23∘
1=tan22∘+tan23∘+tan22∘tan23∘
It will be the same for any two angles that add up to 45∘.
Answer:
ooo....
Step-by-step explanation:
22° + 23° = 45°
taking tan on both side
or,tan(22° + 23°)=tan45°
or,(tan22° + tan23°)/(1-tan22°. tan23°)=1
or,tan22° + tan23° =1- tan22°. tan23°
or,tan22° + tan23° + tan22°. tan23° = 1
proved
help plsplsplsplsplsplspls
Answer:
48-20x=21
Step-by-step explanation:
So, we basically have to clear the fractions (get rid of the denominators)
Multiply everything by the LCM of 6 and 8 (24)
24(2)-24(5/6x)=24(7/8)
48-20x=21
Hope this helps!
Heritage Middle School has 150 students. Two out of three students in Mrs. Masons class prefer gel toothpaste. use this rate to predict how many students inthe entire Middle School prefer gel toothpaste.
Answer:
100 bc 150/3 = 50x2=100 this equation vary on the percent bc if it was 3/3 then u would devide by 3 then times 3 get it?
Answer:
100 students.
Step-by-step explanation:
First because it says "..2 out of 3" you have 2 boxes (i'm using a tape diagram) for the students that prefer gel toothpaste and 1 box for the others/don't prefer gel toothpaste students. Since there are 150 students in the school in total you will divide the number of students (150) by the 3 boxes and get 50. Each box will be filled with 50. Students that prefer gel toothpaste : 50 x 2 = 100 (students) Students that don't prefer gel toothpaste : 50 x 1 = 50 (students).
Hope this made sense somehow lol, i'm not very good at explaining.
We may conclude that (a) events A and B are independent. (b) events A and B are mutually exclusive. (c) either A or B always occurs. (d) events A and B are complementary. (e) none of the above is correct.
Answer:
The answer is below
Step-by-step explanation:
The question is not complete. But I would show you how to solve the problem.
Two events A and B are said to be independent if the occurrence of event A does not affect the occurrence of event B and vice versa. P(A and B) = P(A) * P(B).
Two events A and B are said to be mutually exclusive if event A and event B cannot occur at the same time. P(A and B) = 0.
Two events A and B are said to be complementary when event A occurs if and only if event B does not occur and vice versa.
For the points P and Q, find the distance d(P, Q).
P(3,-6), Q(7,-4)
Answer:
d=2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
please give thanks :)
3.4 is what percent of 5?
Rachel earns $67.50 for working 9 hours at the dairy farm. How much does Rachel make per hour? How much would Rachel make if she works 5 hours a day for 6 days?
Answer:
$225
Step-by-step explanation:
Frist, we need to figure out how much Rachel makes per hour. For 9 hours of work, she makes $67.50
67.5 / 9 = 7.5
Rachel makes $7.50 per hour
Now we can add up all the hours she worked.
5 hours a day for 6 days
5 x 6 = 30
She worked 30 hours at a rate of $7.50 per hour
7.5 x 30 = 225
She earned $225
Tammy takes a taxi home from the airport. The taxi fare is $2.10 per mile, and she gives the driver a tip of $5. Tammy pays a total of $49.10. What is the distance (in miles) between Tammy's home and the airport?
Answer:
21
Step-by-step explanation:
49.10 - 5= 44.10
44.10 divided by 2.10= 21