Step-by-step explanation:
Given
[tex] - \sqrt{49 {x}^{2} } \\ = - \sqrt{ {7}^{2} {x}^{2} } \\ = - 7x[/tex]
Hope it will help :)
PLEASE HELP! I WILL GIVE BRAINLIEST!!
One side of a rectangle is 9 inches longer than another side. If the longer sides of this rectangle decreases by 5 inches and the shorter sides increases by 3 inches, the area of the new rectangle equals the area of the original rectangle. Find the dimensions of the original rectangle
Answer: The original rectangle was 15 inches by 6 inches
=============================================================
Explanation:
L = original lengthW = original widthLet's make the length longer than the width, so L = W+9 since we're told that one side is 9 inches longer than another.
The area of this rectangle is
Area = length*width
A = L*W
Through substitution, we can replace L with W+9
A = (W+9)W
A = W^2 + 9W
We'll come back to this later.
--------------
Now let's decrease the longer side L by 5 inches to get L-5. At the same time, we'll increase the shorter side W by 3 to get W+3.
The new rectangle is (L-5) inches by (W+3) inches which leads to the area of...
A = (length)*(width)
A = (L-5)*(W+3)
A = (W+9-5)*(W+3) .... L replaced with W+9
A = (W+4)(W+3)
A = W^2 + 3W + 4W + 12 .... FOIL rule
A = W^2 + 7W + 12
--------------
We found these two area expressions
W^2 + 9WW^2 + 7W + 12We're told that the two areas (of the original and new rectangle) are equal to one another. Set them equal to each other and solve for W
W^2 + 9W = W^2 + 7W + 12
9W = 7W + 12 ............ subtracted W^2 from both sides
9W-7W = 12
2W = 12
W = 12/2
W = 6
The original width is 6 inches
L = W+9 = 6+9 = 15
The original length is 15 inches
The original area is L*W = 15*6 = 90 square inches
The new rectangle has side lengths of (L-5) = (15-5) = 10 inches and (W+3) = (6+3) = 9 inches. Then note how the area of this new rectangle is 10*9 = 90 square inches to match the other area. This helps confirm we have the correct answer.
Answer:
15 by 6
sorry i dont know how to do it
Find g. 45° 45°
[tex] 3\sqrt{2} [/tex]
Write your answer in simplest radical form, units
Answer:
sin45=3√2/g
g=3√2/(1÷√2)=3×√2×√2=3×2=6units
Answer: 6 (the math sign that’s like a checkmark i thinks it’s square root) 2. So like 6/2 you get the point.
Step-by-step explanation: I just had this problem on ixl and it gave me the answer
if sin theta = cos theta,theta is an acute angle then tan theta=?
please answer within one hour
I will mark u brainliest
Answer:
hope it helped have a good day mate
solve the inequality -3x + 6 > -2
Answer:
x<8/3
Step-by-step explanation:
Your answer is x is less than 8 over 3
Answer:
Answer is d
Step-by-step explanation:
x<8/
Christie has $3.80 in quarters and dimes. She has three more dimes than quarters. How many of each coin does she have?
Answer:
Quarters = 10
Dimes = 13
Step-by-step explanation:
Given that :
Quarters = $0.25
Dimes = $0.10
Total value =. $3.80
Let :
Quarters = a
Dimes = a + 3 (3 more dimes Than quarters)
0.25a + 0.10(a + 3) = 3.80
0.25a + 0.10a + 0.3 = 3.80
0.35a = 3.80 - 0.3
0.35a = 3.5
a = 3.5 / 0.35
a = 10
Quarters = a = 10
Dimes = a + 3 = 10 + 3 = 13
What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
o
02
Answer:
2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-2-2)/(-4-(-2))
m=-4/(-4+2)=-4/-2=2
Which graph represents an exponential function?
Answer:
second which would be c for edg
Step-by-step explanation:
Transform to slope-intercept form. 1+2y=6x-3
Answer: Y=3X-2
Step-by-step explanation:
First you are gonna need to combine all like factors.
1+2y=6x-3 (subtract 1 from both sides)
2y=6x-4
Then you need to get the y by itself.
2y=6x-4 (divide all terms by 2)
y=3x-2
now you are in slope intercept form (y=mx+b)
What is the GCF of 45x^5
and
36x^9
Answer:
9x^5
Step-by-step explanation:
the factors of 45:
1, 3, 5, 9, 15, 45
the factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36
Greatest common is 9
Answer:
The answer is 3
Step-by-step explanation:
because I said so
A pyramid has a rectangular base with edges of length 10 and 24. The vertex of the pyramid is directly 13 units above the center of the base. What is the: Total surface area of the pyramid?
Answer:
10 x 24 x 13 = 3120?
Step-by-step explanation:
I hope this is right!
Answer:
[tex]10\sqrt{313} +24\sqrt{194}+240[/tex] square units
Step-by-step explanation:
If your base is 10x24, and the vertical height is 13, you first have to find the slant height of the pyramid, in other words, calculate the hypotenuse of the triangles constructed using the height and the base divided by 2. You will need to find two slant heights as the base is not square. If you look at that image, the slant heights are marked in blue, and the specific measurements know are given in red. Using that, we can apply the Pythagorean theorem to determine the slant heights, which are [tex]\sqrt{194}[/tex] and [tex]\sqrt{313}[/tex], then we need to calculate the area of each triangular face. Thus they are [tex]5\sqrt{313}[/tex] and [tex]12\sqrt{194}[/tex], but there are two identical faces in the pyramid, which means we should double the area of the faces to achieve [tex]10\sqrt{313} +24\sqrt{194}[/tex], then we need to simply add the base as it's a face. So the answer is [tex]10\sqrt{313} +24\sqrt{194}+240[/tex]
Solve this equation:
-5(x - 2) - 3x = -80
Answer:
x=45/4
Decimal Form:
x=11.25
Mixed Number Form:
x=11 1/4
Step-by-step explanation: PLEASE MARK ME BRANLIST AND IF U CAN ANSWER MY QUESTION FROM MY PROFIL WOULD BE NICE.
HAVE A GREAT DAY! ❤️
What is the least common multiple of 8, 7, and 2?
Answer:
1 i know its one hope it help
Step-by-step explanation:
List all prime factors for each number.
Prime Factorization of 2 shows:
2 is prime => 21
Prime Factorization of 7 shows:
7 is prime => 71
Prime Factorization of 8 is:
2 x 2 x 2 => 23
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 2, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 7 = 56
In exponential form:
LCM = 2^3 x 7^1 = 56
LCM = 56
Therefore,
LCM(2, 7, 8) = 56
What is the x-value of the solution to the system of equations?
5x + 4y =8
2x -3y = 17
-3
O -2
O 4
O5
Answer:
-234
Step-by-step explanation:
5x + 4y =8 2x -3y = 17 -3 O -2 O 4 O5=234
If the blue radius below is perpendicular to the chord , which is 14 units long, what is the length of the segment ?
Answer:
The answer is 7 bc 7 is half of 14
Step-by-step explanation:
Which number sentence is true? A. –38.44 6.2 = 6.2 B. –38.44 (6.2) = –6.2 C. –38.44 (–6.2) = –6.2 D. 38.44 6.2 = –6.2
Answer:
Option B:
[tex]-\frac{38.44}{6.2} = -6.2[/tex]
Step-by-step explanation:
Given
Options A to D
Required
Determine which is true
Option A:
[tex]-\frac{38.44}{6.2} = 6.2[/tex]
[tex]-6.2 = 6.2[/tex]
This is not true
Option B:
[tex]-\frac{38.44}{6.2} = -6.2[/tex]
[tex]-6.2 = -6.2[/tex]
This is true
There is no need to check further
Alice, Bob, and Christy are setting up aquariums. The design of each aquarium is below. Alice has enough pebbles to cover 9 square feet. Does she have enough to put a layer of pebbles on the bottom of Aquarium A?
Answer:
Step-by-step explanation:
Yes, she does
Answer:
Yes, she does
Step-by-step explanation:
Last week, Jay had $217 in the bank, but this week, Jay is $28 in debt. Write an equation that describes that situation.
Answer:
?
Step-by-step explanation:
Answer:
217-245=-28
Step-by-step explanation:
Add $28 to $217, which is $245. Then subtract 245 from 217.
I need help with math
Answer:
0,-2 0,-5
2,-3 1,-4
Step-by-step explanation:
rs10,000 for 1 year at 8% per annum compounded half yearly.
Step-by-step explanation:
Answered 1 year, 9 months ago
Given,
Principal, P =Rs.10000, Rate, R = 8% per annum compounded half yearly for 1 year.
Now, There are two half years in a year. Therefore compounding has to be 2 times.
And rate = half of 10% = 5% half yearly.
Therefore, the required amount = = Rs. 10816
And Compound Interest, C.I. = Amount - Principal = Rs. (10816 - 10000) = Rs. 816.
hope it helps you
Put the numbers in order from smallest to largest
-10,-1,0,10,1
Answer:
The order is (-10,-1,0,1,10)
Answer:
-10 -1 0 1 10
Step-by-step explanation:
as -10 is smaller than -1 is because the negative numbers keep getting smaller as they progress for example 1 and 10 which is bigger it is ofc 10 but I negative numbers its quite the opposite hope this helps
Please I need this TOMORROW
Answer:
here u go !! <3
Part 1:
1. 18 - [(15 - 9 + 4] - 2 = 6
2. 6² - [3² + (3 + 12)] = 12
3. 21 - [(2 × 4) + 2 + 5] = 6
4. [(17 - 10) + 4] + 5² = 36
5. 36 ÷ 6 + [(5 × 3) + (13 - 6) + 10] = 38
Part 2:
6. 15 ÷ 3 × 5 - 16 = c. 9
7. 2 [5 + (30 ÷ 6)²] = d. 60
8. [3² × 4] - [6 + 4²] = b. 14
9. 8 [6² - 3 × (2 + 5) - 8 + 3] = e. 80
10. 15 - {27 - 2 × [33 - 4 × (5 + 1)]} = a. 6
Answer:
(1 )14
(2) 45
(3) 20
(4) 36
(5)121
(6) 6
(7)9
(8) 14
(9)80
(10)60
Lin borrowed 950 for a new laptop. She will pay $25,80 each month for the next 48 months (2 years). Find the amount of
interest Lin will be paying for her loan.
interest Lin will be paying for her loan
Answer:
288,40 $
Step-by-step explanation:
25,80$ / month * 48 months = 1238,40$ total payment.
1238,40$ - 950$ (borrowed) = 288,40 $ payed in interest.
Evaluate 8(a +b) when a = 5 and b = 11
Answer:
Hi there
your answer is 128
Step-by-step explanation:
8(5+11)
Answer:
128
Step-by-step explanation:
8(5+11)= 128
Alfredo's bank charges an $8 service fee each month if his account goes below $500. In June, Alfredo had $510 in his account. He withdrew $25 and then did not have any transactions in his account for 6 months. a. Write as an integer the amount by which Alfredo's bank balance changed during the six months.
Answer:
$48
Step-by-step explanation:
Given that he is charged $8 service fee each month if his account goes below $500. If he has $510 and withdraws $25 the amount in account would be
= $510 - $25
= $485
This is below $500 hence he will be charged $8
Since he did not have any transactions in his account for 6 months, the change in his account as a result of the monthly charge
= 6 * $8
= $48
Solve 5x=45 using the opposite operation
Answer:
the answer is 8
Step-by-step explanation:
5 times 8 =45 5 time table
Answer:
9
Step-by-step explanation:
8x9=45
6.On Saturday, Jane likes to work out, eat, and read a book. She will either lift weights, run, or hike. Then she will choose 1 of the 6 restaurants near her home, and read either Harry Potter, Catcher in the Rye, or Girl on the Train. How many different ways can she spend her Saturday?
Answer:
Number of different ways can she spend her Saturday = 54
Step-by-step explanation:
Jane has to do three types of things - Work out , Eat and Read a book
In Work out -
She either lift weights, run, or hike
In Eating -
She will choose 1 of the 6 restaurants near her home
In Reading -
Read either Harry Potter, Catcher in the Rye, or Girl on the Train
Number of ways in which she can work put = ³C₁ = [tex]\frac{3!}{1! (3-1)!} = \frac{3!}{2!} = 3[/tex]
Number of ways in which she can eat = ⁶C₁ = [tex]\frac{6!}{1! (6-1)!} = \frac{6!}{5!} = 6[/tex]
Number of ways in which she can read = ³C₁ = [tex]\frac{3!}{1! (3-1)!} = \frac{3!}{2!} = 3[/tex]
So, Total number of ways = 3×6×3 = 54
At a restaurant, the cost for one breakfast taco and one glass of milk is $2.10. The cost for two tacos and three glasses of milk is $5.15.
Write a system of equations to represent this situation. DO NOT SOLVE.
Let x = # of tacos and y = # of glasses of milk.
Answer:
2x+3y=5.15
Step-by-step explanation:
Help! I’ll mark brainly! I really need help don’t have much time ! Please help<3
How do I solve this??? LOL
Answer: y=8
Step-by-step explanation: 4y-4+3y=52
AI need help with this math homework ASAP I need the independent variable the dependent and the equation
Answer:
b is the independent variable
c is the dependent variable
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
