I. The value of x is equal to 8.
II. The dimensions of the rectangle are 13 and 5 inches respectively.
Given the following data:
Area of a rectangle = 65 square inches.Length of rectangle = x + 5 inchesWidth of rectangle = x - 3 inchesTo find the value of x, and the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula:
[tex]A = LW[/tex]
Substituting the values, we have:
[tex]65 = (x+5)(x-3)\\\\65=x^2-3x+5x-15\\\\65=x^2+2x-15-65\\\\x^2 +2x-80=0\\\\x^2 +10x-8x-80=0\\\\x(x+10)-8(x+10)=0\\\\(x-8)(x+10)=0[/tex]
x = 8 or x = -10
For the length:
when x = 8
[tex]Length = 8 +5[/tex]
Length = 13 inches.
For the width:
when x = 8
[tex]Length = 8 -3[/tex]
Length = 5 inches.
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Question
Select the factored form of the expressions 3x2−11x−4
A (3x−4)(x+1)
B (3x−2)(x+2)
C (3x+1)(x−4)
D (3x−1)(x+4)
What are the zero(s) of the function f(x) = 4x^2 - 36x/ x - 9
A) x= -9
B) x=0
C) x=9
D) x = 0 and x = 9
Solve for x I need help on this question
Answer:
[tex]x\approx7.8[/tex]
Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for the opposite side:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(23^\circ)=\frac{x}{20}[/tex]
[tex]20sin(23^\circ)=x[/tex]
[tex]x=20sin(23^\circ)[/tex]
[tex]x\approx7.8[/tex]
Therefore, the length of the opposite side is about 7.8 units
The triangle below models a section of the supports you might see in a construction crane.
a. What is the sum of the angle measures of the triangle? Show your work.
1. Alt interior = 60
2. angle A + angle B + 2 =180
3. x supplemental
4. Alt interior = 90
5. Supplimentary = 90
(A is already solved)
b. Check your answer to problem 3a. Show your work.
(Please answer b)
Exactly what was your answer for a
Simplify. (−5)^5(−5)^−6
Answer:
Step-by-step explanation:
In exponents multiplication, if bases are same, add the powers
[tex]a^{m}*a^{n} =a^{m+n}\\\\\\(-5)^{5}*(-5)^{-6}=9-5)^{(-5) + (-6)} = (-5)^{-11}[/tex]
Answer:
Your answer would be:
-1/5 or -0.2
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
I NEED HELP
Jayden’s grandmother gave him a $75 gift card for his birthday. He has spent a total of $38 so far. He wants to spend the rest of the money on baseball caps. Write an inequality that can be used to find the number of baseball caps Jayden can buy with the money he has left on the card if each baseball cap costs $9.49.
Answer:
38+9.49x < or = 100
Step-by-step explanation:
I put a picture
—PLEASE HELP
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Base of a cube is a square, and in the given figure it's stated that the measure of each side is " x " ft
Therefore it's Area is equal to : -
[tex]side \times side[/tex][tex]x \times x[/tex][tex] {x}^{2} [/tex]Now, since it's Area is given as 1/4 ft², let's equate the Areas to find the measure of each side ~
that is ~
[tex] {x}^{2} = \dfrac{1}{4} [/tex][tex]x = \sqrt{ \dfrac{1}{2} \times \dfrac{1}{2} } [/tex][tex]x = \dfrac{1}{2} \: \: feet[/tex]It's time to find the volume of cube that is ~
[tex](side) {}^{3} [/tex]So, let's plug the value of side length (1/2 ft)
Volume is equal to ~
[tex] { \bigg(\dfrac{1}{2} \bigg) }^{3} [/tex][tex] \dfrac{1}{8} \: \: ft {}^{3} [/tex]Hence, the required 1/8 or 0.125 ft³
I hope it helped ~
[tex]\mathrm{✌TeeNForeveR✌}[/tex]
Answer:
Step-by-step explanation:
side=Base=x
Area=side * side
Area=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]
Substitute values in the above formula:
[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]=x * x
[tex]x^{2}[/tex]=[tex]\frac{1}{4}[/tex] [tex]ft^{2}[/tex]
x=[tex]\frac{1}{2}[/tex]ft
Now,
The formula of volume of Cube:
Volume=x*x*x
Substitute the values of x=[tex]\frac{1}{2}[/tex]ft in the formula of Volume:
Volume=[tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft * [tex]\frac{1}{2}[/tex]ft
Volume=[tex]\frac{1}{8}[/tex] [tex]ft^{3}[/tex]
If you need to ask any questions, please let me know.Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help
Answer:
x=9
y=4
Step-by-step explanation:
im timed please help!! (see photo)
Ada is making fresh orange juice for her family. She discovers that for every 3 oranges she squeezes, she gets 5 ounces of juice. Select all the ratios that have the same constant of proportionality as Ada's observation.
The ratios that have the same constant of proportionality as Ada's observation 15/9, 30/18
According to the question:
We are required to select all the ratios that have the same constant of proportionality as Ada's observation.let y and x represent amount of juice and oranges respectively;
y = juices squeezed outx = Oranges squeezed iny = k × x5 = k × 35 = 3kk = 5/3
The ratios equivalent to the constant of proportionality is 15/9, 30/18
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Answer:
Step-by-step explanation:
9:15 15:25 6:10
How to add rational expressions.
Pls help i am so lost
Answer:
x= 90 degrees
y=43 degrees
Step-by-step explanation:
he 134 sixth grade students sit together in the auditorium. Each row has 12 seats. How many rows do the sixth graders need
Answer:
Approximately 11.1666666667 rows
Step-by-step explanation:
134/12= 11.1666666667
Answer:
12 rows
Step-by-step explanation:
(134 students) / (12 students/row) = 11 2/12 rows
The 6th-graders will need 12 rows of seats. The last row will not be filled.
‼️I NEED IT RN‼️
Annabelle has a loyalty card good for a 2% discount at her local pharmacy. If the total
cost, before tax and discount, of all the items she wants to buy is c, which expression
does NOT represent the cost after the discount?
A- 0.98c
B- 1c - 0.02c
C- (1 - 0.02)c
D- C -0.02
Answer:
Use both methods to calculate the sale price of an item that costs $140 and has a discount of. 40%. 140 x.40 = 56. 140-56 +84. 140x.60 = $84.
Step-by-step explanation:
C
Gabriella made 5% of her free throws over the season. If she shot 180 free throws, how many did she make?
Answer:
9
Step-by-step explanation:
Marguerite is selling space in an advertisement book for a community fund-raising event. Each (1/5) page in the book costs $13.5. What is the cost for (3/5) page.
Answer:
$40.5.
Step-by-step explanation:
if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.
If I is parallel to m, solve for x.
Answer:
x = 16
Step-by-step explanation:
(8x - 14) = (5x + 34) since they are alternate exterior angles.
Solve for x:
8x - 5x - 14 = 34
3x - 14 = 34
3x = 34 + 14
3x = 48
x = 48/3 = 16
need desperate help thanks
Answer:
x = 158
y = 22
Step-by-step explanation:
A triangle's inside sides sum up to 180 degrees. So to find the angle y, just take 180 - the sum of the other two sides.
70 + 88 = 158
180 - 158 = 22
y = 22 degrees
Now, to find angle x, since x and y are next to each other on a straight line, it means they are supplementary angles. Supplementary angles add together to equal 180, so just substract y from 180 to get x.
180 - 22 = 158
x = 158 degrees
help asap for brainlist
Answer:
Option D
Step-by-step explanation:
(x + 8) (2x² - 5x - 3)
=> (2x³ - 5x² - 3x) + (16x² - 40x - 24)
=> 2x³ + 11x² - 43x - 24
Hope this helps!
What are the coordinates of point P?
O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
P
Answer:
A
Step-by-step explanation:
crawl before you walk.
Rashid solves the following system of equations using the elimination method.
6x−5y=−315x+3y=10
What value does he correctly determine for x?
Enter you answer in the box.
(08.02 MC)
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answer:
part A
y = 2x -1
the slope is 2/1 means it will be up 2 right 1 or down 2 left 1 the slope is positive
the y-int is -1
y = 4x -5
the slope is 4/1 means it will be up 4 right 1 or down 4 left 1 the slope is positive
the y-int is -5
part B
the solution to this is (2,3)
Step-by-step explanation:
Answer:
Part A:
y = 2x - 1
Slope = 2/1
Y intercept = -1
y = 4x -5
Slope = 4/1
Y intercept = -5
Part B:
x = 2 y = 3
Step-by-step explanation:
Part A: To solve the pair of equations graphically, we need to plot the 2 lines on a graph, and look at where they intercept. Then we draw a vertical line from the intersection to the x axis and we know what x is equal to. Laslty, we draw another line (horizontal) from the intersetcion to the y axis and we know what y is equal to.
Equation of a line: y = mx + c
where mx is the slope and c is the y intercept
y = 2x - 1
Slope = 2/1 -- 2 divided by 1 because it goes 2 squares up and 1 to the right
y intercept = -1
y = 4x - 5
Slope = 4/1
y intercept = -5
Part B:
Solving for x:
Since we know that y = 2x - 1 but also 4x - 5, then:
2x - 1 = 4x - 5
2x + 4 = 4x
4 = 2x
x = 2
Solving for y:
Since we know that x = 2, we just have to replace it in one of the two equations, let's say y = 2x - 1. This would give us:
y = 2 x 2 - 1
y = 4 - 1
y = 3
How to solve absolute value inequalities.
Answer:
I cant even see anything can you reupload your answer, please?
Step-by-step explanation:
10;11;15;15;17;22;11 what is the mode of this data?
Answer:
11, 15
Step-by-step explanation:
They both occur two times so they are tied for mode so both numbers is the answer
40.185 + 0.01
Round your answer to the nearest
hundredth.
Answer:
40
Step-by-step explanation:
Answer:
40.20 luv:)
Step-by-step explanation:
$75 to $25 show your work
Answer:
decrease
Step-by-step explanation:
the percent change measures FROM the first value. A change from 50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50). A change from 75 to 50 is a change of -33.3% (25 is still the difference between the two. 25 is 33.3% of 75
what is the mean,absolute,deviation aka MAD of the numbers below
82,90,75,60,77
if the answer is a decimal, round it to the nearest tenth.
Answer:
7.44
Explanation:
MAD = 1/n sigma | xi - x of line |
What is the slope if the line is differeniable.
Step-by-step explanation:
you mean "differentiable" ?
well, remember, a line equation is
y = ax + b
a is the slope
it is always, ALWAYS the factor of x.
now we differentiate the line equation per dx/dy
y' = a
and that is that.
the first derivative of an equation of first degree (that means the highest exponent of the variable is 1), which is a line equation, is a constant : the factor of x.
and since the factor of x is the slope, that means that the constant result of the first derivative of the line equation is the slope.
Randy ran 3 1/3 on Saturday and 1 1/2 miles on Sunday. How many total miles did Randy run
Answer:
4 7/12
Step-by-step explanation:
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Same line I think
Step-by-step explanation:
Both go through -2 in x axis
Answer:
Neither
Step-by-step explanation:
To find the slope of the line using the points, we use the equation:
y2 - y1 / x2 - x1
Which would make the lines as follows:
y = 4/3x - 1/3
y = 10/9x + 2/9
And since these lines intersect at point (2.5 , 3), that would make them Neither because the slopes are not mirrored or the same.