Answers
Answer:
The value of x is 6
Step-by-step explanation:
The formula of the area of the rectangle is A = l × w, where
l is its lengthw is its widthIn the rectangle ABCD
∵ AB = 2x cm
∴ l = 2x
∵ AD = x cm
∴ w = x
→ Use the formula of the area above to find its area
∵ A = 2x × x
∴ A = 2x²
∵ The area of the shaded region = 50 cm²
→ When the shaded region removed, then the remaining area is the
unshaded region
∵ The area of unshaded region = 22 cm²
∵ The area the ABCD = area the shaded region + area unshaded region
∴ A = 50 + 22
∴ A = 72 cm²
→ Equate the two right side of A
∵ 2x² = 72
→ Divide both sides by 2
∴ x² = 36
→ Take √ for both sides
∴ x = 6
∴ The value of x is 6
Related Questions
9(p-4)=-189(p−4)=−18
Answers
Answer:
6
Step-by-step explanation:
Answer:
The Correct Answer is 2
Step-by-step explanation:
Trust me for I have the skills of a scientist
I need help please!!
Answers
Range(-∞, ∞)
Answer:
The domain is x ≥ − 2 and the range is AllRealNumbers
Step-by-step explanation:
Alrighty, first of all, the domain is the number or amount of x coordinates in the function. The range is the number or amount of y coordinates in the function. As we can see, the x coordinates stretch out towards the right starting from -2. We can include -2, so the domain would be x ≥ − 2. The range would be AllRealNumbers because it streches out infinitely both upwards and downwards.
FIND THE EQUATION OF THE QUADRATIC FUNCTION GIVEN ITS ZEROS. 2.)11/3,-11/3
Answers
Answer:
they will have the same aboulsute value.
Step-by-step explanation:
because the abouslute value can not be negitive
Determine the scale factor for A ABC to A A'B'C'.
C
С
8 cm
4 cm
O A. 4
B. 8
C. 2
OD.
2
Answers
Answer:C 2
Step-by-step explanation:
B right or am i wrong ?
Answers
11. Write an equation in slope-intercept form that passes through (2,3) and 1 (1,5). *
Answers
Answer:13/6/7
Step-by-step explanation:
A line passes through point A(14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
Penelope leaves her house. For eight minutes, she drives to the store at a rate of one block per minute. Then, she stops for five minutes to shop in the store. Finally, she drives back to her house at a rate of four blocks every three minutes. Write the equation to model Penelope's trip to the store.
Answers
Answer:
T = 8 + 5 + 6
Step-by-step explanation:
Since it took Penelope 8 minutes to drive to the store at a rate of 1 block per minute then that means the store was 8 blocks away. That being the case if she drives back home from the store at 4 blocks every 3 minutes that would mean that she took 6 minutes (4+4 = 8) to get back home. Using this data we can create the following equation model to calculate the total time of the trip.
T = 8 + 5 + 6
Casey wants to buy a gym membership. One gym has a $248 joining fee and costs $27 per month. Another gym has no joining fee and costs $58 per month. In how many months will both gym memberships cost the same? What will that cost be?
Answers
Answer:
In 8 months both gym memberships will cost the same and that cost will be $464
Step-by-step explanation:
Linear Models
To compare two gym memberships, we can help Casey to form one model for each gym.
One of them charges a $248 joining fee plus $27 per month. The model for this gym is:
G1 = 27m + 248
Where m is the number of months.
The other gym has no joining fee but charges $58 per month. It's model is:
G2 = 58m
The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:
27m + 248 = 58m
Subtracting 27m and swapping the equation:
58m - 27m = 248
Simplifying:
31m = 248
Solving:
m = 248/31
m = 8
When m=8, both gyms charge the same:
G1 =27*8 + 248= $464
G2 = 58*8 = $464
Thus, in 8 months both gym memberships will cost the same and that cost will be $464
ana runs a merchandiser store. she wants to buy 500 notebooks for her store. she will get 300 notebooks for $2500. the next 200 notebooks are for $4 per notebook. if the total cost for notebook is $3300 and 12%discount is given then the total cost for notebooks is
Answers
Answer:
5000
Step-by-step explanation:
i worked the problem out and got 100%
need help asap
hsjshsuehdue
Answers
Lillian and Jacob work at a dry cleaners ironing shirts. Lillian can iron 25 shirts per hour, and Jacob can iron 20 shirts per hour. Lillian and Jacob worked a combined 13 hours and ironed 295 shirts. Determine the number of hours Lillian worked and the number of hours Jacob worked.
Answers
Answer:
x=7 y=6
Step-by-step explanation:
x = 7 hous worked by Lillian
y = 6 hours worked by Jacob
Step-by-step explanation:
Let call " x " and " y " numbers of hours Lillian and Jacob worked respectively, then according to problem statement we have:
They both combined a total of 13 hours, therefore
x + y = 13 ⇒ y = 13 - x
And the number of ironed shirts was 295 then we have
25*x + 20*y = 295
We need to solve that system of equations for x and y then
25*x + 20 * ( 13 - x ) = 295
25*x + 260 - 20*x = 295
5*x = 295 - 260
5*x = 35
x = 35/5
x = 7
And y = 13 - x ⇒ y = 13 - 7
y = 6
Check all equations that are equivalent. Q = 180(23 - 2) + 1 180 180+ Q + 300 180
Answers
A, C, and D are are all equal to a = 180n − 360, while answer B is equal to a = 180n − 180. Therefore, A, C, and D are all equivalent to each other.
Please help me!!! Pick the correct answer choices!!!
Answers
Answer:
1.C
2.A
Step-by-step explanation:
hope this helps. {ps please give brainliest :)}
A weather balloon is dropping at a rate of 4/3 miles per hour from an
initial height of 2 miles. If the balloon's height were graphed as a functio
of time, what would be the x-intercept?
Answers
Yolanda, Carlos, and Keith have a total of $68 in their wallets. Keith has $8 less than Yolanda. Carlos has 2 times what Keith has. How much do they have in their wallets?
Answers
Answer:
Keith: 15, Carlos: 30, Yolanda: 23
Step-by-step explanation:
Let x be the amount of money Keith has. Then Yolanda has x+8 money and Carlos has 2x money. These all add up to 68.
x+(x+8)+2x=68
4x+8=68
4x=60
x=15
x represents how much money Keith has.
So Keith has 15 dollars, Carlos has 30 dollars, and Yolanda has 23 dollars.
Help geometry select all lines that could be the image of line m after a dilation
Answers
Answer:
The lines that could be the image of line m after a dilation are;
C. n
E. p
Step-by-step explanation:
A dilation is the operation performed on a geometric figure, that involves the uniform enlargement or uniform shrinking of the figure from a given center of dilation, such that the shape of the figure, which can be a line segment, a polygon, or a point on the coordinate plane
From the given options, the lines l and consists of rotation of the line m and are therefore not purely dilations of the line m
Dilation Is the process of increasing or decreasing a figure by a scale factor..The line n and p is the image of the line m after the dilation.
Given informationThere are total 5 lines are given in the image shown.
DilationDilation Is the process of increasing or decreasing a figure by a scale factor. When the lines are shorter or longer with the ratio of the original line then it is called the dilation of the line.
The center point of the dilation must be same for the original line and the dilated line.
For the given figure there are total 5 lines are given. Lets check all one by one,
Line l- Line is tilted and not dilated to the line m.Line n- Line n is parallel to the line m and similar to the line m.Line o- Line o is tilled with a large angle compare to the line m.Line p- Line p is shorter than the line p. The line m is decreased with some scale factor with common center point.Thus the line n and p is the image of the line m after the dilation.
Lean more about the dilation here;
https://brainly.com/question/2856466
Determine the domain of the following graph:
9
5
2
5
2 +2345
90 m
-
5
och
What is the answer?
Answers
Concept: Domain & Range
The domain is defined on the positive and negative y axis Your provided equation was [tex]2 + 2345[/tex]Which is a single integer 2347 which means that domain would be any real value.Please help and give details :)
Answers
7x+4y-28=0 is the answer
The scale from an actual triangle to the drawing at the right is 30 to 1 the scale from the same triangle to Georges drawing of the triangle is 10 to 1 is this drawing or Georges drawing larger explain your answer
Answers
Answer:
Georges drawing is larger.
Step-by-step explanation:
A scale is a representative fraction that can be used to either increase or decrease the dimensions of a given object. It can either be; reduced or enlarged.
From the given question, both scales are enlarged scale. But,
the scale from the actual triangle to the drawing = 30:1
This implies that every measure of 30 on the drawing is 1 of the actual. So that a measure of 120 on the drawing equals 4 on the actual.
Georges' scale = 10:1
This implies that every 10 measure equal 1 of the actual. So that a measure of 120 on the drawing is 12 on the actual.
Therefore, Georges drawing is larger.
If AABC = ADEC,
ZB = 2x, ZC = 48°, and ZD = 740
A
D
00
E
x = [?]
Answers
Answer:
x=29
Step-by-step explanation:
i believe this is the most recent question to which you requested an answer. Well here you go.
The angle at D equal to the angle at A
If so,the
2x+48+74=180
2x+122°=180°
2x=180°-122°
2x=58°
x=58/2=29
I need help matching these
Answers
11
Which of these represents point-slope form of a linear equation?
y = mx + b
y - y1 = m(x - 1)
Ax + By = 0
y=kx
Answers
Answer:
second one..........
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
y = mx + b _____(1)
y - y1 = m(x - 1) _____(2)
Ax + By = 0 _____(3)
y=kx ______(4)
From all the equations given above, we see that,
Equation (1) is in the form of a point-slope.
Thus,
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
Learn more about equation of a line here:
https://brainly.com/question/14200719
#SPJ2
A blindfolded contestant makes a random selection from a bag
that contains white, red, green, and yellow marbles at a carnival
booth. The bag contains 12 marbles in total. Use the following
clues to determine how many marbles of each color are in
the bag.
Clue 1: P(white) Plyellow) = P(green)
Clue 2: Of 40 players, 10 are expected to select a white marble.
Clue 3: If 2 green marbles are removed from the bag, then P(red) = 1/5
Answers
Answer:
D
Step-by-step explanation:
There are 4 colors to choose from, so use numbers 1-4 to represent each color.
A vendor pays a rock band 1/3 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales? Enter your answer in the box.
Answers
Answer:
$546
Step-by-step explanation:
726 is 1/3. 3/3 is 2178. - 1632= 546.
Which expression is equivalent to (+12)×5+7 ?
A. 12+60
B. 12+12
C. 5+67
D. 5+12
Answers
(12)x5 + 7
\ /
12 + 12
For EF in triangle EFG, what is the corresponding segment in similar triangle HFG?
Answers
Answer:
HF
Step-by-step explanation:
Answer: Side HF.
Step-by-step explanation: The corresponding segment to EF in similar triangle HFG is HF, you can confirm it by folding the triangle.
There are 35 kids in our class.
20% like cats. How many kids
in our class like cats?
Please help
Answers
I believe it is 7 kids who like cats.
Jana has a sandbox that is 4 1/2 feet long, 5 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely.
Answers
Answer:
She needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Step-by-step explanation:
length = [tex]l[/tex]= [tex]4\frac{1}{2}=\frac{9}{2}=4.5[/tex] feet
width = [tex]w=[/tex] 5 feet
depth = [tex]h=\frac{1}{2}=0.5[/tex] feet
Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.
Thus, the formula to find the volume of a rectangular prism can be computed using the formula
[tex]V\:=\:l\:\times \:w\:\times \:h[/tex]
[tex]V=4\frac{1}{2}\times 5\times \frac{1}{2}[/tex]
[tex]=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}[/tex]
[tex]=\frac{45}{2\times \:2}[/tex]
[tex]=11\frac{1}{4}[/tex] ft³
Thus, she needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
how do you solve 2 - 2n = 3n + 17
Answers
2=5n+17
Subtract 17 to both sides
-15=5n
Divide 5 both sides
N=-3
Final Answer: [tex]n = -3[/tex]
Steps/Reasons/Explanation:
Question: How do you solve [tex]2 - 2n = 3n + 17[/tex]?
Step 1: Subtract [tex]2[/tex] from both sides.
[tex]-2n = 3n + 17 - 2[/tex]
Step 2: Simplify [tex]3n + 17 - 2[/tex] to [tex]3n + 15[/tex].
[tex]-2n = 3n + 15[/tex]
Step 3: Subtract [tex]3n[/tex] from both sides.
[tex]-2n - 3n = 15[/tex]
Step 4: Simplify [tex]-2n - 3n[/tex] to [tex]-5n[/tex].
[tex]-5n = 15[/tex]
Step 5: Divide both sides by [tex]-5[/tex].
[tex]n = -\frac{15}{5}[/tex]
Step 6: Simplify [tex]-\frac{15}{5}[/tex] to [tex]-3[/tex].
[tex]n = -3[/tex]
~I hope I helped you :)~
What is the constant of proportionality in the equation y=0.72x
Answers
Answer:
Constant: 0.72 = 18 : 25
Step-by-step explanation:
None