Answer:
d² = l² + w² ,
Step-by-step explanation:
You can use the Pythagorean theorem to estimate the diagonal of a rectangle, which can be expressed with the following formula: d² = l² + w² , and now you should know how to find the diagonal of a rectangle explicit formula - just take a square root: d = √(l² + w²) .
Two square rooms have a total floor area of 89m2. One room is 3m longer each way than the other. Find the dimensions of the two rooms. A. 5m square and 8m square B. 4m square and 6m square C. 5m square and 12m square D. 6m square and 8m square
Answer:
A
Step-by-step explanation:
Let the smaller room have an area of x^2
Let the larger room have an area of (x + 3)^2
(x+3) ^2 + x^2 = 89 Be careful not to make it 89^2.
x^2 + 6x + 9 + x^2 = 89 Expand the binomial squared
2x^2 + 6x + 9 - 89 = 0 Subtract 89 from both sides
2x^2 + 6x + 9 - 89 = 0 Combine
2x^2 + 6x - 90=0 Divide by 2
x^2 + 3x - 45 = 0 This factors.
(x + 9)(x- 5) = 0
X + 9 gives nothing useful
x - 5 = 0
x = 5
x + 3 = 5+3 = 8
So the answer is A
(-9z - 8) - (4z - 7)
f(x)=4x+7. Find the inverse of f(x).
A.{f^{ - 1}}\left( x \right) = \frac{{x - 7}}{4}f −1 (x)= 4x−7
B.{f^{ - 1}}\left( x \right) = 7 - 4xf −1 (x)=7−4x
C.{f^{ - 1}}\left( x \right) = \frac{{x - 4}}{7}f −1 (x)= 7x−4
D.{f^{ - 1}}\left( x \right) = 4x - 7f −1(x)=4x−7
it a i need for later
Answer:
Step-by-step explanation:
f(x) = y = 4x + 7
Solve for "x"
4x + 7 = y ⇒ x = [tex]\frac{1}{4}[/tex] y - [tex]\frac{7}{4}[/tex]
Exchange the places "x" and "y"
[tex]f^{-1}[/tex](x) = [tex]\frac{1}{4}[/tex] x - [tex]\frac{7}{4}[/tex]
or [tex]f^{-1}[/tex] (x) = [tex]\frac{x-7}{4}[/tex]
121 ÷ (-11)
plz help asap
Answer:
-11
Step-by-step explanation:
Multiply two negatives and you get a positive so
-11 x (-11) = 121
Factorise:x2-3x-40 find this answer fast
This trinomial is in a special form that can be
factored into the product of two binomials.
So we set up two sets of parenthses.
As the first term, we have the factors of x², x and x.
For the second term, we have the factors of -40 that add to -3.
In this case, these factors are -8 and +5.
So our answer is (x - 8)(x + 5).
The polygons below are similar. Find the scale factor of the SMALLER figure to the LARGER.
A. 5:6
B. 3:5
C. 5:8
D. 2:5
Answer:
A. 5:6
Step-by-step explanation:
The scale factor of the smaller figure to the larger = the ratio of a side of the smaller figure to the corresponding side of the larger figure.
Thus, side length of 25 units of the smaller figure corresponds to the side length of 30 units.
Therefore:
Scale factor = 25:30
Simplify
Scale factor of the smaller figure to the larger = 5:6
FIRST TO ANSWER WILL GET BRAINLIEST!
Answer:
I think your answer would be 12x - 2
If this is wrong then im sorry
Answer:
12x-2
Step-by-step explanation:
5x+1=JK
7x-3=KL
JL= JK + KL
= 5x+1+7x-3
=12x-2
therefore JL = 12x-2
5) 36% of 68.1 is what?
Answer:
I'm pretty sure it's 24.516
Answer/Step-by-step explanation:
36% of 68.1 is 24.516.
1. To find a percentage of a number, turn the percentage into a decimal that is represented out of 100% where 1 is equal to 100%.
36% is represented as 0.36.
2. Now, multiply that decimal by the number.
68.1 x 0.36 = 24.516
This leaves us with the answer.
The point (0, 0) is a solution to which inequality? A. y – 9 3x + 10 C. y – 9 > 3x – 10 D. y + 9 > 3x + 10
Let x = 0
Let y = 0
Look at choice A. There is a typo here. This is not an inequality. Where is choice B? No choice B given.
Let us play with choice C and D.
y - 9 > 3x - 10
0 - 9 > 3(0) - 10
-9 > 0 - 10...This is a true statement. We know that -9 is bigger than -10. Do you know why this is true?
How about D?
Again let y = 0 and x = 0.
0 + 9 > 3(0) + 10
9 > 0 + 10
9 > 10...This is untrue. We know that 9 is NOT BIGGER than 10.
Without knowing A and B, I figured out that choice C is true. We conclude that the point (0,0) AKA the origin is a solution to the inequality given by choice C.
Understand?
WILL GIVE BRAINLIEST!
Identify the coordinates of the solution to the graphed system of equations.
Answer:
The two lines cross at (4, 5).
NEED ANSWER ASAP!!!!
y=−x^2−2x+3
When is g(x) = 0?
Answer:
[tex]y=3[/tex]
Step-by-step explanation:
Since g(x)=0, you input 0 into every x
[tex]y=-(0)^{2} -2(0)+3[/tex]
Which then becomes:
[tex]y=0+3[/tex]
Take out the 0 and there's your answer
Letf(x)=(x+2)2. Letg(x)=3(x+2)2. Which statement describes the graph of g(x) with respect to the graph of f(x)?
Answer:
I say two.
Step-by-step explanation:
1.)24:56=X:46
A. 18
B. 28
C. 14
D. 24
2.)10:32=25:X
A. 70
B. 80
C. 60
D. 50
3.)18:6=X:11
A. 66
B. 55
C. 22
D. 33
4.)13:169=X:26
A. 10
B. 8
C. 4
D. 2
5.)18:81=22:X
A. 66
B. 55
C. 22
D. 33
6.)X:21=8:12
A. 16
B. 14
C. 21
D. 12
7.)7:X=6:36
A. 22
B. 42
C. 44
D. 20
8.)110:X=45:9
A. 22
B. 42
C. 44
D. 20
9.) 52:12=X:48
A. 208
B. 200
C. 100
D. 108
10.)6:12=17:X
A. 34
B. 33
C. 23
D. 24
Answer:
what's the question???/
Step-by-step explanation:
giving brainly
what is the equation of the line in slope intercept form
Answer:
y=3/2x-1
Step-by-step explanation:
Answer:
y=3/2x-1
Step-by-step explanation:
It goes up by 3 units and goes to the left by 2, 3/2. And the line intercepts the axis at -1.
Divide. Write your answer as a fraction or mixed number in simplest form.
9 1/3 • 7
Answer:
65 1/3 or 196/3
Step-by-step explanation:
9 1/3 can be written as 28/3 (9 times 3 plus 1)
28/3 times 7/1 (because any whole number can have a 1 as the denominator)
Multiply top to top and bottom to bottom
28 times 7/ 3 times 1
196/3
Simplify to
65 1/3 but 196/3 will work out as well
plz help this is hard and i cant figure it out -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
Answer:
2
Step-by-step explanation:
these are alternative interior angles so they are equal to each other (congruent) soooo
9x + 4 = 3x + 16
subtract:
9x = 3x + 12
6x = 12
divide
x = 2
helpppppp. (the other one cut out is multiplication property of equality)
Answer:
The second step is Distributive Property and the third is Subtraction Property of Equality
Step-by-step explanation:
The 1/2 is being distributed in the second step making the 8x to 4x and the 6 to 3.
The third step involves the subtraction of "x" from the right hand side and the left hand side.
What is the value of 20 + 3 (7 + 4) + 5 + 2 (7 + 9)?
73
90
290
365
Thanks in advance! :L
Answer:90
Step-by-step explanation:
20+3(7+4)+5+2(7+9)
20+3×11+5+2×16
20+33+5+32
90
Answer:
90
Step-by-step explanation:
I know because I am in the future
A worker has four different job offers, each with a contract for six years. Assuming the job descriptions are identical,
which offer will allow the worker to earn the most over six years?
O a starting salary of $49.000 with a 3% increase each year
O a starting salary of $51 000 with a 1% increase each year
O a starting salary of $48,000 with a 6% increase each year
a starting salary of $50,000 with a 2% increase each year
9514 1404 393
Answer:
$48,000 to start, with 6% raises
Step-by-step explanation:
The starting salaries are within a few percentage points of each other, so the majority of the difference in earnings will come because of the raises. The offer with the largest raise percentage is likely the best.
The earnings total can be figured as the sum of a geometric series with a first term of "starting salary" and a growth factor of (1+raise percentage). For starting salary 's' and raise percentage 'r', the total earnings in 6 years will be ...
S = s((1+r)^6 -1)/r
Here are the total earnings, in thousands, for each of the offers:
a) s = 49, r = .03, S = 316.95
b) s = 51, r = .01, S = 313.75
c) s = 48, r = .06, S = 334.82 . . . . best offer
d) s = 50, r = .02, S = 315.41
The worker can earn the most from a starting salary of $48,000 and 6% increases each year.
C) a starting salary of $48,000 with a 6% increase each year
Draw a street diagram based on the given information
1) Fox Boulevard and
Harty Way are parallel
2) Barbosa Avenue
intersects Harty Way
and Fox Boulevard
I
3) Hankins Salon and
Chase bank are same
side interior angles
4) Buckley Park and Town
Hall are alternate
exterior angles
5) Popeye's and
McDonalds are on
corners that are
supplementary
Answer:
See attachment.
Step-by-step explanation:
The name of the streets and places are abbreviated as follows:
✍️The Streets:
Fox Boulevard = FB
Harty Way = HW
Barbosa Avenue = BA
✍️Places:
Hankins Salon = HS
Chase bank = CB
Buckley Park = BP
Town Hall = TH
Popeye's = PP
McDonalds = MD
Based on the information given, a diagram of the streets have been drawn and attached below.
Kim ate 50% of candles in the bag if Kim ate 35 candies how many are left
Answer:
If Kim eats half of the bag, 50%, and 50% is 35 then the other 50%, the other half, is also 35. That means if Kim ate 50% of candies, 35, she has 35 candies left.
Find x when f(x) = 32.
Answer:
Step-by-step explanation:
i think you are forgetting to put the equation into your question because you cannot find x if y=32 x would be non existent
What is the arc length of an arc of a circle with dialneter of 10 and a central angle of 50°.
251
Answer:
The arc length is 4.36332.
A student club started a fundraising effort to support animal rescue organizations. The club sent an information flyer home to the rt students in the school. It says, "We welcome donations of any amount, including any change you could spare!" Their goal is to raise T' dollars, and to donate to a cat shelter and a dog shelter, On the next page, match cach quantity to an expression, an equation, or an inequality that describes it The dollar amount the club would have if they reached one-fourth of their goal. The dollar amount the club would have revery student at the school donated a quarter to the cause. The dollar amount the club could donate to the cat shelter if they reached their goal and gave a quarter of the total donation to a dog shelter. The dollar amount the club would still need to raise to reach its goal after every student at the school donated a quarter. The dollar amount the club would have all three-fourths of the students at the school each gave 50 cents 3
Answer:
1. 0.25T
2. 0.25n
3. T - 0.25T
4. T - 0.25n
5. 0.75n × 0.5
Step-by-step explanation:
1. The dollar amount the club would have if they reached one-fourth of their goal.
Since the goal is to raise T dollars
One-fourth of T = ¼ × T = 0.25T
2. The dollar amount the club would have if every student at the school donated a quarter to the cause.
Let the number of students in the school be n
Since there are n students in the school, amount raised = ¼ × n = 0.25n
3. The dollar amount the club could donate to the cat shelter if they reached their goal and gave a quarter of the total donation to a dog shelter.
Since they reached their goal, the total amount they raised= T dollars
They gave a quarter of the total donation to a dog shelter = ¼T = 0.25T
Amount left to donate to the cat shelter = T - 0.25T
4. The dollar amount the club would still need to raise to reach its goal after every student at the school donated a quarter.
Amount donated if every student donated a quarter = ¼n = 0.25n
Amount still needed = T - 0.25n
5. The dollar amount the club would have if three-fourths of the students at the school each gave 50 cents
Three-fourths of the students = ¾n = 0.75n
50 cents = 0.5 dollars
Amount raised if three-fourths of the students gave 50 cents = 0.75n × 0.5
pls help on these two math questions ill give brainlyest to first correct answer
Answer:
#1: Dillon, Harry, Paul, Winston #2: B
Step-by-step explanation:
#1: Absolute value is the opposite of the negative number, so it's just 2, 8, 10, and 13.
#2: Count by 10's, it's on the 50 line
Answer:
1)Dillon, Harry, Paul and Winston
2) C
Someone Help I will give Branlist for whoever answers first!!!
What is the first step to writing the equation in the point-slope form if you have two points?
A. graph it
B. Find the m
C. find the b
D. Google it
Answer:
A its like, getting a plate before you make a sandwich, you have to get a plate first, or else you can't start making your sandwich.
Step-by-step explanation:
you don't have to give brainliest, im just helping lol
Put the following equation of a line into slope-intercept form, simplifying all fractions.
6x+15y=-15
Answer:
y = -6/15x -1
Step-by-step explanation:
subtract 6x on both sides 15y = -6x -15
divide 15 on both sides y = -6/15x -1
Answer:y=-2/5x-5
Step-by-step explanation:
trust me
Please look at number 13. and use the slope and write the equation for me
Answer:
y - y1 = m(x - x1)
(x1, y1) = (1, -1) (x2, y2) = (3, 5)
m = [tex]\frac{5 - (-1)}{3 - 1}[/tex]
m = [tex]\frac{5 + 1}{3-1}[/tex]
m = [tex]\frac{6}{2}[/tex] = [tex]\frac{3}{1}[/tex] = 3
m = 3
y - 5 = 3(x - 3)
y - 5 = 3x - 9
y = 3x - 9 + 5
y = 3x - 4
Step-by-step explanation:
In order to use point-slope form to convert to slope-intercept form you have to know one point and the value of the slope. In this case, we know two points, but we don't know the slope. In order to find the slope, you can input the values of the two points into the expression: [tex]\frac{y2 - y1}{x2 - x1}[/tex]
After finding the slope, input the values of one of the points (in this example I used (3,5)) and the slope. After that, multiply the slope by the two terms inside the parentheses. then add 5 to both sides of the equation to isolate y. Now your equation is in slope-intercept form.
I hope this helps :)
how many dimes equal the value of 6 quarters.show you step
Answer:
the answer to this complicated problem is 25
Answer:
15 dimes
Step-by-step explanation:
6 quarters= $1.50
$1.50 divided by 10 cents= 15 dimes
Six cousins inherited a total of 5/8 of their great aunt’s assets, which they divided evenly. What fraction of their great aunt’s assets did each cousin inherit?
A. 5/48 of the assets
B. 1/8 of the assets
C. 7/48 of the assets
D. 3/8 of the assets
Answer:
5/8 diveided by 6 is 5/48
Step-by-step explanation: