Answer:
The width = x = 14The length = x+5 = 14+5 = 19Step-by-step explanation:
Let l = length, w = width, A = area = l×w , and P = perimeter = 2(l+w)
Let 'x' be the width
As the length 'l' of a rectangle is 5 inches more than its width.
so the length will be = x+5
As the Area of the rectangle is equal to 2 inches more than 4 times the perimeter.
A = 4P + 2
so the equation becomes
l × w = 4×2(l+w)+2
substituting w=x, l = x+5,
(x+5)x = 8(x+5+x)+2
x²+5x = 8(5+2x)+2
x²+5x = 40+16x+2
x²+5x = 16x+42
x²+5x-16x-42 =0
x²-11x-42=0
[tex]x^2-11x=42[/tex]
[tex]\mathrm{Add\:}a^2=\left(-\frac{11}{2}\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-11x+\left(-\frac{11}{2}\right)^2=42+\left(-\frac{11}{2}\right)^2[/tex]
[tex]x^2-11x+\left(-\frac{11}{2}\right)^2=\frac{289}{4}[/tex]
[tex]\left(x-\frac{11}{2}\right)^2=\frac{289}{4}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-\frac{11}{2}=\sqrt{\frac{289}{4}}[/tex]
[tex]x-\frac{11}{2}=\frac{\sqrt{289}}{\sqrt{4}}[/tex]
[tex]x-\frac{11}{2}=\frac{\sqrt{289}}{2}[/tex]
[tex]x-\frac{11}{2}=\frac{17}{2}[/tex]
[tex]x-\frac{11}{2}+\frac{11}{2}=\frac{17}{2}+\frac{11}{2}[/tex]
[tex]x=14[/tex]
similarly solving
[tex]x-\frac{11}{2}=-\sqrt{\frac{289}{4}}[/tex]
[tex]x-\frac{11}{2}=-\frac{17}{2}[/tex]
[tex]x-\frac{11}{2}+\frac{11}{2}=-\frac{17}{2}+\frac{11}{2}[/tex]
[tex]x=-3[/tex]
so
x = 14, or x = -3
As the width 'x' can not be negative.
so x = 14
Thus,
The width = x = 14The length = x+5 = 14+5 = 19Solve for x.
A. 10
B. 9
C. 7
D. 52
Answer:
B. 9
Step-by-step explanation:
5x + 7 = 52
- 7 - 7
5x = 45
x = 45 ÷ 5
x = 9
Answer:
Answer is x=9 so it will be B
Point R(4,-5) is reflected across the y-axis
to point S. Point S is reflected across the x-
axis to point T. What are the coordinatesn
of point T?
too hard Step-by-step explanation:
If f(x) = −2 + 8, what is f(−1.8)?
4
6
10
12
Step-by-step explanation: -1.8 rounds up to -1. -2 x -1 = 2, 2+8 = 10.
Answer:
well I know its not 4
Step-by-step explanation:
I got it wrong in my quiz
But it will sure be appreciated if someone can give the correct answer.
Thank you all and I hope you all have a wonderful day :)
The length of a Rectangle is five less than twice its width the perimeter is 26 m find the dimensions of the rectangle
Answer:
L = 7 m
W = 6 m
Step-by-step explanation:
P = 2L + 2W
26 = 2(2W - 5) + 2W
26 = 4W - 10 + 2W
26 = 6W - 10
+10. +10
36 = 6W
divide both sides by 6
36/6 = W
6 = W
L = 2(6) - 5
L =12 - 5 = 7
8.
7. Higher Order Thinking Nicole scored
8 goals this season. She scored 9 fewer
goals than Julien. How many goals did
Julien score?
Restate this problem using the word more.
Nicole scored 8 goals this season. Julien
scored
Answer:
Julien scored 17 goals (9 more than Nicole)
Step-by-step explanation:
Nicole: 8 goals (x-9) = 8
Julien: x-9 = y
Nicole:
x-9=8
x=17
Julien:
17-9 = 8
Julien scored 9 more goals than Nicole giving Julien 17 goals on the season and Nicole 8 goals
Order the following numbers from LEAST TO GREATESTI!
16+ 4
= 2.5
7-8)
= 21
Answer:
-1, 2.5, 20, 21
Step-by-step explanation:
16 plus 4 is 20
2.5
7-8 is -1
21
Chad is planting a plant that is 4 inches tall. He wants the hole he is digging to be as deep as the plant is tall. What integer represents the location of the bottom of the hole?
Answer:
-4 in
Step-by-step explanation:
4 inches underground, assuming that ground level is 0, is negative four inches.
-4 represents the location of the bottom of the hole.
What is Integer?An integer is a positive or negative whole number, including 0.
Given that, Chad is planting a plant that is 4 inches tall. He wants the hole he is digging to be as deep as the plant is tall.
According to question
The height of the plant is 4 in, so Chad need to dig a 4 in hole in the ground.
Hence, -4 represents the location of the bottom of the hole.
For more references on Integers, click;
https://brainly.com/question/15276410
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Recall the linear expression for Cecil’s weight in part D. Before plugging values into it, could you have simplified the expression? If yes, explain how.
Answer:
Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.
Step-by-step explanation:
Answer:
Yes, the expression can be simplified by using the Associative and Commutative Properties of addition and by combining the like terms in the expression.
Step-by-step explanation:
it's the answer from edmuentum. do not copy
HOW MANY TABLE SPOONS ARE IN 1/4TH CUP
Answer:
4
Step-by-step explanation:
Answer:
4 tablespoons
Step-by-step explanation:
1 cup= 16 tablespoons
1/4 of 16 is 4
Greatest common factor of 36 and 42
3. Consider the equation s +10 = 25.
(a) Write a real-world problem that can be solved using the equation
(b) What does s represent in your scenario?
Answer:
Step-by-step explanation:
Given the equation s+10 = 15
Converting this to a statement. Let the unknown value e s;
Ade travels to his hometown at a speed of s m/s while Sholla travels at a speed of 10m/s, if their total speed is 25m/s, find the speed of Ade.
b) To get g speed of Ade, we will evaluate the expression
s+10= 25
Subtract 10 from both sides
s+10-10= 25-10
s = 15
Hence Ade travelled at a speed of 15m/s
If X and Y are two points on number line then the distance between them is represented by
Answer:
Step-by-step explanation:
Let the point X be represented as (x1, y1) and the point Y be (x2, y2). The distance between the two points is expressed as;
D² = (x2-x1)² - (x2-y2)²
Take the square root of both sides;
√D² = √(x2-x1)² - (x2-y2)²
D = √(x2-x1)² - (x2-y2)²
Also the distance between X and Y can be represented as D = |X-Y|
Match the graph with its inequality
Answer: A
Step-by-step explanation:
PLS HELP DUE VERY SOON
Write an EQUATION that represents the GREEN line
EX. Blueline: x*2+y*1=10
Answer:
y=1/2x+0
Step-by-step explanation:
What is the GDC of 18 and 24? Help ASAP plsplspls !! :)
Answer:
6
Explanation:
6x4 = 24
6x3 = 18
Can anyone solve this?
Answer:
x = 11.83°
Step-by-step explanation:
Equations
The figure shows two parallel lines crossed by a line. We have completed the figure with another variable y. Please see the attached image.
Angles y and 4x+28 are linear, thus their sum is 180°:
y + 4x + 28 = 180
Angles y and 8x + 10 are corresponding, thus
y = 8x + 10
Substituting:
8x + 10 + 4x + 28 = 180
Simplifying:
12x + 38 = 180
Subtracting 38:
12x = 142
Dividing by 12
x = 11.83°
what is the value of f(x)=1/2x+5 when x=4
Mikey had 104 nickels and 88 dimes she wants to divide the coins into group of each group will have the same number of nickels in the same number of dimes what is the largest number of groups she can have
Answer:
8
Step-by-step explanation:
8 can go into 88 and it can also go into 104 too and 8 is the largest number so the answer is 8
which expressions have three terms? select all that apply.
50 minutes and each day how many minutes will exercise in 7 days
Answer: 350 minutes
Step-by-step explanation: because you have to multiply 50 times 7
Answer:
350 minutes
Step-by-step explanation:
50 x 7 = 350 mins
Write an expression equivalent to (6x + 4y) – 2y by combining like terms. Enter the numbers in the boxes.
Answer:
-2y + 6x + 4y
Step-by-step explanation:
Which equation represents a line which is perpendicular to the line y= –1/8x + 8
1. X+8y=8
2x– 8y = 8
3 8x+y=5
4 y-8x=4
An equation which represents a line which is perpendicular to the line y= –1/8x + 8 is: 4. y - 8x = 4.
How to interpret the slope?Mathematically, the standard form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the intercept.In Mathematics, the condition for perpendicularity of two lines is given by:
m₁ × m₂ = -1
Next, we would rewrite the given equation representing a line in standard form:
x + 8y = 8
y = -x/8 + 1
Therefore, slope (m) = -1/8 (Not perpendicular).
x - 8y = 8
y = x/8 - 8
Therefore, slope (m) = 1/8 (Not perpendicular).
8x + y = 5
y = -8x + 5
Therefore, slope (m) = -8 (Not perpendicular).
y - 8x = 4
y = 8x + 4
Therefore, slope (m) = 8 (perpendicular).
Check:
m₁ × m₂ = -1
-1/8 × 8 = -1
Read more on slope here: brainly.com/question/25842670
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Ninety percent of juniors in high school have their driver’s license. If Eagle Mountain High has 576 juniors with a driver’s license, then how many juniors are enrolled? !!!!!!!!PLEASE ANSWER!!!!!!
Answer:
it's 640
Step-by-step explanation:
When the value of the y-intercept(b) change by subtracting a number from "b" in the equation "y=mx+b", the graph will move of shift down ? true or false
Answer:
True. The graph will shift down if we subtract a number from "b"
Step-by-step explanation:
"b" represents the y-intercept, or how high up on the y axis the graph intersects.
If we don't change anything except for the y-intercept, then the graph should only move up or down.
Because we are decreasing the value of "b" the y intercept will decrease, dragging the graph of y down.
Suppose that the total sum of squares of the dataset is 1,032, and the sum of squares due to error is 76, what is the sum of squares due to regression?
Answer:
The sum of squares due to regression is 956.
Step-by-step explanation:
The sources of variation while doing regression analysis are typically called Regression and Residual. Regression is the portion that can be explained by the regression equation and the Residual is the portion that is left unexplained by the regression equation.
The relation between total variation (SST), explained variation (SSR) and unexplained variation (SSE) is,
SST = SSR + SSE
It is provided that:
SST = 1032
SSE = 76
Compute the value of SSR as follows:
SST = SSR + SSE
SSR = SST - SSE
= 1032 - 76
= 956
Thus, the sum of squares due to regression is 956.
(4/5 - 7/5) + 1/5 simplified
Answer:
-2/5 or -0.4
Step-by-step explanation:
Answer:
-2/4
Step-by-step explanation:
i had it on my math quiz! got 100!
please mark me brainliest! thanks <3
hope you do well!
Simplify:
[45 - (6 + 3)] x 27
Answer:
Step-by-step explanation:
1. brackets
in the bigger bracket there is a smaller one do it first
(45-(6+3))x27= (45-9)x27
2. the bracket again
(45-9)x27 = 36 x 27
3. multiply
36x27=972
drag each figure to show if it is similar to the figure shown or why it is not similar
Answer:
In the given shapes above, we can see that all shapes have four sides.
Above geometrical shapes could be named as Rectangles, parallelogram or quadrilateral.
First two shapes are Rectangles.
Third is a parallelogram.
Fourth and fifth shapes are Rectangles again.
Also we can say all those shapes with four side as quadrilaterals. (Note: A quadrilateral has four sides.)
Below shown shape has only three sides in it.
It is called a triangle when a shape has three sided close figure.
So, we could drag : Not similar - Different Type of shape.
37 out of 40 goals are stopped, what is the percent that are stopped?
Answer:
92.5 percent is the answer I got
Answer:
92.5%
Step-by-step explanation:
Convert fraction (ratio) 37 / 40 Answer: 92.5%
Which expression is equivalent to the following complex fraction?
Answer:
B is correct one...
Hope this will help you
