Answer: Length=8, Width=4
Step-by-step explanation: I did this by trial and error, but you can also use an equation. The length is x+4, the width is x. Your equation would be x(x+4)=32. That is equal to x^2+4x=32. Solve this by completing the square. X^2+4x+ (4/2)^2=32+ (4/2)^2
X^2+4x+4=36. (X+2)(x+2)=36. X+2=6, x=4.
What is the image of (-4,-7)(−4,−7) after a reflection over the x-axis?
Answer:
(-4,7)
Step-by-step explanation:
(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)
Simplify the expression by combining like terms.
t + 8 + 3t
SHOW YOUR WORK: Use different colors to circle your like terms then use addition/subtraction to combine
them.
*Remember: Variable term goes FIRST!
Answer:
4t + 8
Step-by-step explanation:
t + 3t = 4t
4t + 8
Answer:
4t+8
Step-by-step explanation:
If you look at your equation t+8+3t you will notice how you have two t parts
part 1: t
part 2: 3t
Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.
Then you just put your 8 back on to the equation! 4t+8
14. Devon has an area rug with a width 3 feet less than its length, l. He has purchased a larger rug to fit into his new dorm room. Both length and width of Devon's new rug are 2 feet longer than the original. Find the simplified expression of the perimeter and the NEW rug. plsssss help.me show work
Answer:
Perimeter of the new rug = 4x+2 feet
Step-by-step explanation:
Let the length be x feet and the width of the first rug will be x- 3 feet
Area = length * breadth = x * (x-3) = x²- 3x
Length of the new rug = x+2 feet
Width of the rug = x+2-3= x-1 feet
Perimeter of the recatngle = 2( length + breadth)
= 2( x+2 + x-1)
= 2 (2x+1)
= 4x+2 feet
15% tip on a bill of $51.03
Answer:
7.6545
Step-by-step explanation:
4 ) Here is an explanation that the angle sum of triangle ABC is 180º.
The reasons for each line are missing.
Give the reasons.
1. Angle A of the triangle = angle PCA
2. Angle B of the triangle = angle QCB
3. Angle PCA + angle C of the triangle + angle QCB = 180°
Hence angle A + angle B+ angle C = 180°
Answer:
Thank you and please rate me as brainliest as it will help me to level up
g(n) = n² + 2; Find g(3)
Answer:
11 is the answerStep-by-step explanation:
1. Write the question.
g(n) = n² + 2; Find g(3)
2. Find and input the numbers into the equation
g(3) = 3² + 2
3² = 9
3. Solve the equation
g(3) = 3² + 2
= 9 + 2
= 11
The answer is 11.
Hope this helped,
Kavitha Banarjee
pls help:) i feel so guilty for asking questions
Answer:
Step-by-step explanation:
AB:
d = sqrt ( (−5−2)^2 + (−2−(−8))^2)
d = sqrt( (−7)^2 + (6)^2 )
d = sqrt(49+36)
d = sqrt(85)
d = 9.219544
BC:
d = sqrt ( (−7−(-5))^2+(3−(−2))^2 )
d = sqrt( (−2)^2 + (5)^2 )
d = sqrt(4+25)
d = sqrt(29)
d = 5.385165
AC:
d = sqrt ( (−7−(2))^2+(3−(−8))^2 )
d = sqrt( (−9)^2 + (11)^2 )
d = sqrt(81+121)
d = sqrt(202)
d = 14.21267
DE:
d = sqrt ( (−11−(-9))^2+(12−7)^2 )
d = sqrt( (−2)^2 + (5)^2 )
d = sqrt(4+25)
d = sqrt(29)
d = 5.385165
EF:
d = sqrt ( (−2−(-11))^2+(1−12)^2 )
d = sqrt( (9)^2 + (-11)^2 )
d = sqrt(81+121)
d = sqrt(202)
d =14.21267
DF:
d = sqrt ( (−2−(-9))^2+(1−7)^2 )
d = sqrt( (7)^2 + (-6)^2 )
d = sqrt(49+36)
d = sqrt(85)
d = 9.219544
Yes, the triangles are congruent because the lengths are the same.
pls ayuda es para hoy mismo y es un examen
Answer:
-4
6x+29=5
6x=5-29
6x=-24
x=-4
Answer
es-4
Step-by-step explanation:
The slope of the lawn and passing through the points (1,3) and (5,13)
Karen drove 496 miles in 8 hours and then took a break. After the break, she increased her speed by 3 mph. If she travels at the new speed for 5 hours, how far did she travel after the break?
HELP IM ON GRADPOINT I AM ON A QUIZ IF I CAN ALSO GET THE REST OF THE ANSWERS I WILL MARK BRAINLYEST
Answer:
top is independent, bottom is dependent
Step-by-step explanation:
top has only 1 answer, bottom has infinite answers
somebody please help me what is 15 / 3 ×7/20
Answer:
1.75
Step-by-step explanation:
By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.
Then your equation would be: 5*7/20.
Again, you would just read it left to right, 5*7=35
Then divide by 20, which is 1.75.
Factor-262 +65k - 2b
Answer:
-262 +65k =2b is not factorable with rational numbers
Step-by-step explanation:
12 + 4x – 4 = 12x – 9 – 8x
Answer:
No solution
Step-by-step explanation:
Basically the simplified equation is 17 = 0, which is wrong so there is no solution.
Matilda wants to average sales in her café of $1400 per day. During the first 4 days of the week, her sales were $1289, $1498, $1327 and $1510. What does she need her sales for the 5th day of the week to meet her 5-day sales goal?
Answer
Matilda needs to sell 1376$ worth of coffee
HURRY THIS IS TIMED. I WILL GIVE BRANIEST IF CORRECT. EXPLAIN YOUR ANSWER!! THX
Answer: A and c
Step-by-step explanation: because they are the only ones that have p,x,m and not just seperate.
help me plz asap now I just need answer question in pic
I was just about to ask this question
Step-by-step explanation:
Im on this question rn, i need help to :(
Answer: just guess :)
Step-by-step explanation:
Lisa loaned John $5000 at an interest rate of 6%. He repaid her $5750 to cover the principal and interest. How long did he borrow the money?
Answer:
time in years = 2.5 years
Step-by-step explanation:
time = interest / (principal amount x rate)
time = 750 / 5000 x 0.06
time = 750 / 300
time = 2.5 years
This weekend the hardware store is having a blowout sale, where everything is discounted 40%. A weed eater originally sells for $145. How much will the weed eater cost during the blowout sale?
Answer:
58
Step-by-step explanation:
Answer:
$58
Step-by-step explanation:
Anelle is saving to buy a guitar that costs $350. So far she has saved $105.20. She wants to buy the guitar in 18 weeks. Based on this information, which statement is true?
Answer:
Step-by-step explanation:
350-105.20= 244.80 is still needed
I don't have the statements so...
244.80/18 weeks = 13.60 She'll need to save at least $13.60 a week for 18 weeks to make up the difference.
Answer:
Step-by-step explanation:
18x + 105.2 ≥ 350
18x ≥ 244.8
x ≥ 13.6
She has to save at least $13.6 per week.
9^(x + 2) = 27
Can someone help solve
Answer:
x=-.5
Step-by-step explanation:
The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:
Graph titled Distance Vs Time is shown with Time in minutes along the x axis and Distance from Nest in miles along the y axis. The scale on the x axis shows the numbers 0 to 25 at increments of 5, and the scale on the y axis shows the numbers 1 to 8 at increments of 1. A straight line joins the ordered pairs 0, 3 and 5, 4 and 10, 5 and 15, 6 and 20, 7.
Based on the graph, what is the initial value of the graph and what does it represent? (1 point)
a
3 miles per minute; it represents the speed of the bird
b
0.2 mile per minute; it represents the speed of the bird
c
0.2 mile; it represents the original distance of the bird from its nest
d
3 miles; it represents the original distance of the bird from its nest
Answer:
(d).
Step-by-step explanation:
The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest
Answer:
0.2 mile; it represents the original distance of the bird from its nest
Step-by-step explanation:
Nathan measured a line to be 7.4 inches long. If the actual length of the line is 7.2 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
2.8%
Step-by-step explanation:
(7.4 - 7.2) / 7.2 =
0.2 / 7.2 =
2.7777777777778%
Factorize:
x^4 - 6x^2 - 27
x^4 - 6x^2 - 27
Let u = x^2
We know that x^4 = (x^2)^2.
u^2 - 6u - 27
(u - 9)(u + 3)
Now, back-substitite for u.
(x^2 - 9)(x^2 + 3)
The RIGHT SIDE FACTOR is the difference of two squares.
So, x^2 - 9 becomes (x - 3)(x + 3).
(x - 3)(x + 3)^2
Done.
What is 2-10(7b-2) simplified
Answer:
-70b+22
Step-by-step explanation:
Simplify each term
apply the distributive property
2-10(7b)-10 *2
multiply 7 by -10
2-70b+-10*-2
multiply -10 by -2
2-70b+20
add 2 and 20
-70b+22
Find the recursive rule, explicit rule, and f(20)
Answer:
Recursive:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit:
[tex]f(n)=4-4(n-1)[/tex]
And the 20th term f(20) is -72.
Step-by-step explanation:
We have the sequence:
4, 0, -4, -8...
Let’s find the recursive and explicit rule for the sequence.
Recursive Rule:
Let’s determine the factor by which the sequence is decreasing by. We see that each subsequent term is 4 less than the previous term. In other words, our common difference is -4.
So, this is a arithmetic sequence.
The standard format for an recursive rule for an arithmetic sequence is:
[tex]f(1)=a , f(n)=f(n-1)+(d)[/tex]
Where a is the initial term and d is our common difference.
From our sequence, we know that our initial term a is 4.
We also determined that our common difference is -4.
Substitute. Hence, our recursive rule is:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit Rule:
The standard format for an explicit rule for an arithmetic sequence is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference. So, again, let’s substitute 4 for a and -4 for d. Hence, our explicit formula is:
[tex]f(n)=4-4(n-1)[/tex]
To find f(20), we can use the explicit formula. It is possible to use the recursive formula, but it gets tedious. Therefore, we will substitute 20 for n for our explicit formula:
[tex]f(20)=4-4(20-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(20)&=4-4(19) \\ f(20)&=4-76 \\ f(20)&=-72 \end{aligned}[/tex]
Hence, our 20th term is -72.
Thomas used a can to feel his new fish tank with water. The fish tank holds 11 gallons of water. His can hold 1/5 of a gallon. How many times will Thomas have to feel his canned to put 11 gallons of water in a fish tank?
Answer:
55
Step-by-step explanation:
If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.
What is the greatest common factor of 9 and 12? 3 9 36 108
Answer:
The GCF would be 3
Step-by-step explanation:
You’re welcome :)
Answer:
1. A
Step-by-step explanation:
Which is the best estimate of 11 and one-fifth divided by 2 and three-fourths?
Answer:
4 should be the answer to the question
Answer:
11 1/5 divided by 2 3/4:
11 1/5 is a bit less than 12, and 2 3/4 is a bit less than 3
The answer, therefore, should be fairly close to 12 ÷ 3
12 ÷ 3 is 4
Answer is 4
Step-by-step explanation:
Solve for a
ab + c = d
c
—-
a= b+ d
b
——-
a= (c+d)
(d-c)
a= ———
b
Answer:
A
Step-by-step explanation:
just took the test