The area of a rectangle is 77 yd square, and the length of the rectangle is 3 yd more than twice the width. Find the dimensions of the rectangle.
Length :
Width :
Answers
Answer:
Length = 14 yd
Width = 5.5 yd
Step-by-step explanation:
Let width = x and length = 2x + 3
The formula for area is length x width.
(2x + 3) ( x ) = 77
2x² + 3x - 77 = 0
-77 x 2 = -154
What two numbers multiply to -154 and add to 3?
2x² + 14x - 11x - 77 = 0
2x (x + 7) - 11 (x + 7) = 0
(2x - 11) (x + 7) = 0
x = -7 (this isn't possible so ignore it)
x = 5.5 (width)
Now insert 5.5 into the initial equation.
2 (5.5) + 3 =
11 + 3 = 14
Answer:
Length is 3
width is 25•66
Step-by-step explanation:
Hope it helps!
Thanks.
Related Questions
Given the form of the equation 3x + 2y = 3 and x – 3y = -10. Then determine the result of 3x - y !
Answers
Answer:
-6
Explanation:
x= -1 and y=3
3x- y
=> 3(-1)-3 = -3-3= -6
Answer:
3x – y = -6
Step-by-step explanation:
To solve on the problem above, you can do it by substitution and elimination of the two equations.
3x + 2y = 3
➡️ 3x + 2.3 = 3
➡️ 3x + 6 = 3
➡️ 3x = -3
➡️ x = -1
➡️ 3x – y = 3(-1) – 3
➡️ = -3 – 3 = -6 ✅
Which of the following expressions is equivalent to the expression below?please help me
Answers
Answer: 14x+6
Step-by-step explanation:
by using distribution from the ”2” outside the parenthesis, you simply do
2x7= 14 (add the variable x) so 14x
then you do 2x3= 6
The Runwell Company has 8 employees. Five of
the employees earn $12 an hour, two earn $9 an
hour and 1 earns $11 an hour. What is the average
amount per hour that the employees are paid?
Answers
Answer:
41
Step-by-step explanation:
i think i dont know that much
2ja bag has 3 red and 6 green balls. Two
balls are drawn from the bag one after the
other without replacement. What's the
probability of having a green ball drawn
both times
Answers
Answer:
5/12
Step-by-step explanation:
Probability of drawing green ball on the first time=6/9=2/3
Probability of drawing green ball on the second time=5/8
Probability of having a green ball drawn
both times=(2/3)*(5/8)=10/24=5/12
hi can someone help me with this problem!!
Answers
Answer:
f(x) | 5 | - 1 | - 3 | - 1 | 5 |
Step-by-step explanation:
So first you'll say "-2" into function
Replace x with negative 2
f(x) =2(-2) ^2 - 3
8 - 3 = 5
Secondly place "- 1" into function
Replace x with negative 1
f(x) = 2(-1)^2 - 3
2 - 3 = - 1
Thirdly place "0" into function
Replace x with 0
f(x) = 2(0)^2-3
0 - 3 = - 3
Then place "1" into function
Replace x with 1
f(x) = 2(1)^2 - 3
2 - 3 = - 1
Lastly place "2" into function
Replace x with 2
f(x) = 2(2)^2 - 3
8 - 3 = 5
{ hope this helps}
round 6.7 to the nearest whole number.
Answers
Answer:
7[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day
Answers
Answer:
45000rupees
Step-by-step explanation:
cost of 1 litre of petrol=60rupees
cost of 750 litres of petrol=750×60rupees
=45000rupees
Rewrite the expression in the form b^n b^10÷b^6=
Answers
Answer:
[tex] {b}^{10} \div {b}^{6} = {b}^{4} \\ \\ \frac{ {b}^{10} }{ {b}^{6} } = b^{10 - 6} = {b}^{4} [/tex]
I hope I helped you^_^
Find the equation of the line that is parallel to y = 4 - 3x and passes through the
point (1,5).
Answers
Answer:
[tex]y=-3x+8[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y = 4 - 3x\\y = -3x+4[/tex]
Given this equation, we can identify the slope to be -3 since it's in the place of m in [tex]y=mx+b[/tex].
Because parallel lines have the same slope, -3 is therefore the slope of the line we're currently solving for. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-3x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-3x+b[/tex]
Plug in the given point (1,5) and solve for b:
[tex]5=-3(1)+b\\5=-3+b\\8=b[/tex]
Therefore, the y-intercept is 8. Plug this back into [tex]y=-3x+b[/tex]:
[tex]y=-3x+8[/tex]
I hope this helps!
Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using
fractions when required.
Answers
Answer:
[tex]y=\frac{1}{3} x+6[/tex]
Step-by-step explanation:
[tex](3,7)(-6,4)[/tex]
Step 1. Find the slope (by using the slope-formula)
m = slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-7}{-6-3}[/tex]
[tex]m=\frac{-3}{-9}[/tex]
[tex]m=\frac{3}{9}[/tex]
[tex]m=\frac{1}{3}[/tex]
Step 2. Write the equation (using the slope and the points)
Here's how to do it:
Slope-intercept Formula [tex]y=mx+b[/tex] whrere m = slope and b = y-intercept
Plug in the slope into the Slope-intercept Formula
[tex]y=\frac{1}{3} x+b[/tex]
Find the y-intercept (b) by using a point and substituting their x and y values
[tex]y=\frac{1}{3} x+b[/tex]
Point: (3, 7)
[tex]7=\frac{1}{3} (3)+b[/tex]
[tex]7=1+b[/tex]
[tex]b=7-1[/tex]
[tex]b=6[/tex]
Step 3. Write the equation in Slope-intercept form
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3} x+6[/tex]
6. If there are 60 studensts in a class, 20 students are absent. Then, find the percentage of absent students.
Answers
Answer:
60:20
100:?x
60×x=100×20
=33.333 %
What is the surface area of the rectangular prism formed from this net?
O A. 10.5 in.2
B. 16 in.2
C. 16.5 in.2
Ο Ο Ο
OD. 18 in.2
E 32.5 in.2
Answers
if 5-3(2a+1)=-4a+10, what is the value of a+2
Answers
Answer:
-2
BRAINLIEST, PLEASE!
Step-by-step explanation:
5 - 3(2a + 1) = -4a + 10
5 - 6a - 3 = -4a + 10
2 - 6a = -4a + 10
-2a = 8
a = -4
-4 + 2 = -2
Answer:
a+2 = -4+2 = -2
Step-by-step explanation:
5-3(2a+1)=-4a+10
Distribute
5 - 6a -3 = -4a +10
Combine like terms
-6a +2 = -4a +10
Add 6a to each side
-6a+2 +6a = -4a+6a +10
2 = 2a+10
Subtract 10 from each side
2-10 =2a+10-10
-8 = 2a
Divide by 2
-8/2 =2a/2
-4=a
Please help and please give explanation
Answers
Answer: -5 i guess i might b wrong i dont know -5
Step-by-step explanation:
Is that the right answer..?
Answers
9514 1404 393
Answer:
the correct answer is 47
Step-by-step explanation:
You are correct down to the part where you're adding the numbers.
50 -10 +7 = 40 +7 = 47
__
The sign of the 7 is positive. The minus sign only applies to 10.
_____
Additional comment
Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...
(50 +7) -(10) = 57 -10 = 47
[tex](-1)^{2} + 2^{3} -0^{4}[/tex]
Answers
Answer:
9Step-by-step explanation:
[tex](-1)^{2} + 2^{3} -0^{4}[/tex]
[tex] = 1 + 8 - 0[/tex]
= 9 (Ans)
What is the relationship between the 6s in 675,002 and 385,621?
Answers
Answer:
6647 is a whole. For you to know the relationship between the 6s in this number write their values. The value of the first 6 is 6000. The value of the second 6 is 600.
Answer this question please
Answers
9514 1404 393
Answer:
A. 500 cm²
Step-by-step explanation:
The height of the piece of cardboard is the same as the height of the prism: 20 cm.
The width of the piece of cardboard is the sum of the side lengths of the prism: 7 cm + 9 cm + 9 cm = 25 cm.
The area of the cardboard is the product of its height and width.
A = HW
A = (20 cm)(25 cm) = 500 cm²
PLS HELP SHOW ME HOW TO DO THIS
A polynomial function h(x) has a zero of x = 2 – 5i with a multiplicity of one. Certain values of h(x) are given in the following table.
x h(x)
–5 0
–2 3
–1 –1
1 2
4 0
7 6
10 5
If every real x-intercept of h(x) is shown in the table and each has a multiplicity of one, what is the degree of h(x)?
A. 2
B. 3
C. 4
D. 5
Answers
Using function concepts, it is found that the degree of the function is: 4, option C.
----------------------------------------
The x-intercepts of a function are the values of the function for which the output is zero.The degree of a function is the sum of the multiplicities of the x-intercepts of the function.If a function has a complex root, it means that the conjugate is also a root.----------------------------------------
When [tex]x = -5, h(x) = 0[/tex], thus, x = -5 is one x-intercept.When [tex]x = 4, h(x) = 0[/tex], thus, x = 4 is one x-intercept.There is also a x-intercept(zero) at [tex]x = 2 - 5i[/tex]. There will also be a x-intercept at the conjugate, which is [tex]x = 2 + 5i[/tex].Thus, there are 4 x-intercepts, all with multiplicity 1, which means that the degree of h(x) is 4, option C.A similar problem is given at https://brainly.com/question/10539060
Natalie reads an average of 205 minutes a week. A year has 52 weeks.
How many minutes does Natalie read in a year?
Answers
Multiply weeks by minutes per week:
52 x 205 = 10,660 total minutes per year
Work Shown:
205 minutes: 1 week
52*(205 minutes) : 52*(1 week)
10660 minutes : 52 weeks
10660 minutes : 1 year
Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium.
Answers
Step-by-step explanation:
your answer
mark me a brainlistPlease give the code :/
Answers
Step-by-step explanation:
1. m = (9-3)/(2-1) = 6/1 = 6 => B
2. m = (-7-5)/(2+1) = -12/3 = -4 => G
3. the horizontal line passes (0,4) => m = 0 =>I
4. m = (2-1)/(8-8) = 1/0 = oo => undefined => A
What is the fraction or mixed number and write in its simplest form.
3.8416
3.8416=—- (type an integer,proper fraction, or mixed number.)
Answers
Answer:
38416/10000
plss mark me brainliestt
Step-by-step explanation:
3.8416=38416/10000
Please help!
Find the value of x for which ABCD must be a parallelogram.
Answers
Answer:
x=5
Step-by-step explanation:
5x-8=2x+7
5x-2x=7+8
3x=15
X=15/3
x=5
Answer:
5
Step-by-step explanation:
cause
angle c and angle a are alternate angle and alternate angle are always equal so 5X-8=2x+7
5x-2x=7+8
3x=15
or x=5
Find the arc length of the partial circle. Either enter an exact answer in terms of π or use 3.14 πpi and enter your answer as a decimal
Answers
Answer:
C (circumference) = 2 pi R for circle
A (arc length) = R * theta = pi R = pi * 9 = 28.27
Multiply -7/-6 x 7 x 1/3 write in simplest form
Answers
Step-by-step explanation:
Multiply -7/-6 x 7 x 1/3 write in simplest form
Find the value of x.
Answers
Answer:
x=60
Step-by-step explanation:
x=180-120
58 round of to the nearest 10
Answers
Answer:
58 to the nearest ten is = 60
Answer:
Here is your answer ⤵️
58 rounded to the nearest tens is 60.
Please help! will mark brainliest.
only answer if you truly know
Find (ƒ – g)(x) where ƒ(x) = –x^2, g(x) = –(x + 4)^2
(ƒ – g)(x) = –8x – 16
(ƒ – g)(x) = –2x2 + 8x + 16
(ƒ – g)(x) = –2x2 – 8x – 16
(ƒ – g)(x) = 8x + 16
Answers
Answer:
D
Step-by-step explanation:
We are given the two functions:
[tex]f(x) = -x^2 \text{ and } g(x) = -(x+4)^2[/tex]
And we want to find:
[tex](f - g)(x)[/tex]
Recall that this is equivalent to:
[tex]= f(x) - g(x)[/tex]
Substitute:
[tex]\displaystyle = (-x^2) - (-(x + 4)^2)[/tex]
Simplify:
[tex]= -x^2 + (x+4)^2[/tex]
Perfect square trinomial:
[tex]= -x^2 + (x^2 + 8x + 16)[/tex]
Combine like terms. Therefore:
[tex]= 8x + 16[/tex]
In conclusion:
[tex](f - g)(x) = 8x + 16[/tex]
Our answer is D.
Which statement compares the two numbers correctly?
0.799 ________ 0.8 I need help thanks if you will ill give you 70 points but you have to help me before 4:00 thanks soo much if you do
Answers
Answer:
the statements are missing can you post them please
Answer:
C. 0.799 < 0.8Step-by-step explanation:
0.799 ________ 0.8
Choices:
0.799 > 0.8 0.799 = 0.8 0.799 < 0.8 0.8 < 0.799Comparing this two, compare 0.799 and 0.800 and if you ignore the decimals, it will be same as comparing 799 and 800.
We know 799 < 800, so apply the same here to get:
0.799 < 0.8Correct choice is C
