Answer: The original rectangle was 15 inches by 6 inches
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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.
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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
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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
Whats 4x+2=2(x+6) ?
Just want to see your answers
Answer:
x = 5
Step-by-step explanation:
4x + 2 = 2(x + 6)
4x + 2 = 2x + 12 (after you distribute the 2)
add and subtract like terms
4x - 2x = 12 - 2
2x = 10
x = 5
you can double check by substituting the x with 5 in the equation
4 (5) + 2 = 2(5 + 6)
20 + 2 = 2(11)
22 = 22
is 10\3 a improper fraction? Explain
Answer: Yes
Step-by-step explanation:
An improper fraction is any fraction that has a numerator that is greater than the denominator
can someone help solve/understand this?? plzzzz
Answer:
[tex]y = 4(0.5) {}^{x} [/tex]
Step-by-step explanation:
By looking at your graph, The y intercept is (0,4).
This is an exponential function so it is represented by
[tex]y = ab {}^{x} [/tex]
where a is the vertical stretched and b is the constant rate and x is the nth power.
let plug in 0,4
[tex]4 = ab {}^{0} [/tex]
[tex]b {}^{0} = 1[/tex]
since anything to the 0 power is 1.
[tex]4 = a \times 1[/tex]
[tex]4 = a[/tex]
Know let plug it in to this equation.
[tex]y = 4b {}^{x} [/tex]
Let use 2,1 another point on the graph
[tex]1 = 4b {}^{2} [/tex]
Divide 4 by both sides
[tex]0.25 = {b}^{2} [/tex]
take sqr root of 0.25
[tex]0.5 = b[/tex]
So
the answer is
[tex]y = 4(0.5) {}^{x} [/tex]
Can some one solve this
Answer:
J Monica is right
Step-by-step explanation:
Add three to both sides, divide by 4 you get x[tex]\geq[/tex]4
Answer:
J
Step-by-step explanation:
SOMEONE PLEASE HELP!!!!!
Answer:
the answer is A and B
Step-by-step explanation:
hope it helps
can somebody please help me with this I’m currently failing this class .. I’ll really appreciate it
umm so
Step-by-step explanation:
wait ill answer that just now let me work it out
Can you solve 1 and 2 please
PLZ HELP FAST IM CONFUSED
What is the percentage of sugar in the syrup made of 10kg of water and 5kg of sugar? Thx!
Answer:
total=15 kg
so 5/15*100
=33.3
Step-by-step explanation:
It says 33cm it’s messed up because it’s on a laptop but what’s the volume of this sphere :)
Answer:
1.51*10^5 cm^3
Step-by-step explanation:
the formula for the volume of a sphere is (4/3)pi(radius)^3
I can't really tell if the 33 cm is for the radius or the diameter, but it looks like the radius, so
(4/3)*(33)^3*pi
simplify
Im assuming you can use a calculator because it's too hard to do without because it's a huge number
Question: Which set of directions correctly describes how to plot the point (6, 2) on the coordinate plane?
A.Start at the origin. Move 6 units to the right, then move 2 units up.
B.Start at the origin. Move 6 units up, then move 2 units to the right.
C.Start at the origin. Move 6 units to the left, then move 2 units up.
D.Start at the origin. Move 6 units up, then move 2 units to the left.
I GIVE BRAINLIEST!
Which ordered pair is in the solution set of the inequality shown?
Answer:
number 2: (-6, 0)
Determine whether the second polynomial is a factor of the first.
6x2 + 5x +54; x-4
Select the correct choice below and fill in the answer box to complete your choice.
O A. No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to
OB. Yes, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OC. No, because the polynomial 6x + 5x +54 evaluated at - 4 is equal to
OD. Yes, because the polynomial 6x + 5x + 54 evaluated at 4 is equal to
Answer:
No, because the polynomial 6x² + 5x + 54 evaluated at 4 is equal to 170.
Step-by-step explanation:
A polynomial should have a factor (let's say a) that would make the polynomial equal to zero when we substitute that factor (a) into the polynomial.
A pound of fudge is cut into 8 squares. Each square sells for $2.25.
Which equation represents the total cost, C, for x
squares of fudge?
Select the correct expressions.
Which expressions are equivalent to 3x + 2(x - 1) - 4?
3x + 2x - 2 - 4
5x -6
3(x-4)
3(x + 2) - 6
6(x - 1)
Reset
Next
Determine if the three lengths can be the measures of the sides of a triangle.
3 in, 9 in and 8 in
Answer:
yes
Step-by-step explanation:
For the lengths to form a triangle, the sum of any 2 must be greater than the third, that is
3 + 9 = 12 > 8
3 + 8 = 11 > 9
9 + 8 = 17 > 3
Thus the 3 lengths can form a triangle
Select the correct answer from each drop-down menu.
The corresponding sides of two similar triangles are
The corresponding angles of two similar triangles are
Reset
Next
Answer:
1)proportional
2)Congruent
Step-by-step explanation:
The corresponding sides of two similar triangles are in equal proportion.
The corresponding angles of two similar triangles are congruent.
What are similar triangles?The two triangles said to be similar if the corresponding sides of two similar triangles are in equal proportion and the corresponding angles of two similar triangles are congruent.
Given that. we need to find the correct answer from each statement.
According to the definition of the similar triangles,
two triangles said to be similar if the corresponding sides of two similar triangles are in equal proportion and the corresponding angles of two similar triangles are congruent.
Hence, the correct statements are:
The corresponding sides of two similar triangles are in equal proportion.
The corresponding angles of two similar triangles are congruent.
Learn more about similar triangles, click;
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A snail is moving along a path that is 4 meters long. The snail moves at an average rate of 3 3/10 inches per minute. Question 1 Part A Find the length of the path to the nearest inch. (Hint: 1 in.≈2.54 cm) Enter the correct answer in the box.
Answer: The length of the path = 157 inches { approx}
Step-by-step explanation:
Given: The length of the path = 4 meters
1 meter = 100 centimeters
So 4 meters = 400 centimeters
Also 1 in. ≈ 2.54 cm
[tex]\Rightarrow\ 1 cm = \dfrac{1}{2.54}\ in.[/tex]
Now, [tex]\text{ 400 centimeters}=400\times\dfrac{1}{2.54}\text{ inches}[/tex]
[tex]=157.480314961\approx 157 \ \ \ \ \ \text{ [Rounded to the nearest inch.]}[/tex]
Hence, the length of the path = 157 inches { approx}
What is 38 times 4 plus the square root of 30
Answer:157.47722557
Step-by-step explanation:
helppppppppppppppppp
Answer:
16.
Step-by-step explanation:
What does 75% Off mean? It means 75% of the price is subtracted. So find 75% of 64.
Here is our equation: 75/100 x 64 = 48.
So 48 dollars is going to be subtracted from 64, which gives us 64-48=16.
So the price of the wedding cake during the sale is 16.
ITS FOR A TESTT I NEED THE ANSWER
Answer:
I believe the answer is $1.52. hope this helps
1.p + 8 = 14.1 *hgtyyytghg
Answer:
Let's solve your equation step-by-step.
p+8=14.1
Step 1: Subtract 8 from both sides.
p+8−8=14.1−8
p=6.1
Answer:p=6.1
find x=, if x+4=10 please hurry!!!
The answer is x= 6
6 + 4 is = 10.
Answer:
x=6
Step-by-step explanation:
+4=10
+4-4=10−4
x=6
The predicted costs of an average electric car and an average gasoline car after 2030, are represented by the following tables:
Answer:
they are both exponential funtions
Step-by-step explanation:
because i got it wrong and im telling you the answer
Answer: Both exponential
Step-by-step explanation:
Khan Academy- answered before and got it right
Find the measure of this angle in the triangle.
Answer:
the angle measures 85 degrees
I will mark you brainiest if you can answer this
Answer:
I believe it's eighteen.
Step-by-step explanation:
Multiplying positive and negative fractions how do you do it
Answer:
I GOTCHU BAEE
Step-by-step explanation:
its just like regular negative numbers
but with fractions
see:
-7/12 x 1/2 = -7/24
negative negates the negative
negative negates the positive
positive keeps the positive positive
Find the midpoint of the interval [-3, 6] along the number line.
Answer:
1.5 or 3/2
Step-by-step explanation:
The midpoint of the interval [-3, 6] along the number line is 1.5.
The midpoint of an interval is the point that lies exactly in the middle of the two endpoints.
To find the midpoint of the interval [-3, 6], we use the midpoint formula:
Midpoint = (Endpoint1 + Endpoint2) / 2
In this case, Endpoint1 is -3, and Endpoint2 is 6:
Midpoint = (-3 + 6) / 2
Midpoint = 3 / 2
Midpoint = 1.5
The midpoint of the interval [-3, 6] is 3/2. This means that the point exactly halfway between -3 and 6 on the number line is 1.5 units to the right of -3 and 1.5 units to the left of 6.
Visually, if you plot -3 and 6 on a number line, the midpoint 3/2 (or 1.5) would be located at the center, equidistant from both endpoints.
To know more about number:
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are the rates equivalent?
Answer:
No
Step-by-step explanation:
0.3/4= 0.075
0.9/15= 0.016
They aren't equal.
Answer:
no they are not
Step-by-step explanation:
cause I said
I slept the correct operator for the following exponential expression*
Answer:
b is the answer(>)
Step-by-step explanation:
hope this helps
