Answer:
41 inches
Step-by-step explanation:
The formula for Area of a rectangle is ;
A = L × W
L = Length
W = Width
A rectangle has a length of 31 inches less than 3 times its width.
L = 3W - 31
If the area of the rectangle is 984 square inches, find the length of the rectangle
Hence,
984 = (3W - 31) × W
984 = 3W² - 31W
Hence
3W² - 31W - 984
3W(W - 24) + 4(W - 24) = 0
(3W + 41)(W - 24) = 0
W - 24 = 0
W = 24 inches
We have to find the Length
L = 3W - 31
L = 3(24) - 31
L = 72 - 31
L = 41 inches
The Length = 41 inches
The Length of the rectangle is 41 inches
Name the property shown 6+8=8+6
Answer:
The property that is shown here is communitive property.
Step-by-step explanation:
It is that because the number are switched but you can still get the same answers.
Question 1 of 8
Which of the following math statements contain variable(s)? Check all that
apply.
O A. 11 - x= 9
B. 4 + 6 = 10
O C. 6 - 6 = 0
D. ? + 1 = 5
Find the value of r so that the line through (1,2) and (-5,r) has a slope of 1/2
Answer:
The value of r is -1
Step-by-step explanation:
The slope of a Line
Suppose a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points are (1,2) and (-5,r), and the slope is 1/2, thus
[tex]\displaystyle \frac{r-2}{-5-1}=\frac{1}{2}[/tex]
Operating:
[tex]\displaystyle \frac{r-2}{-6}=\frac{1}{2}[/tex]
Multiplying by -6:
[tex]2(r-2)=-6[/tex]
Dividing by 2:
[tex]r-2=-3[/tex]
Add 2:
[tex]r=-3+2=-1[/tex]
[tex]\boxed{r=-1}[/tex]
The value of r is -1
The polygons are similar. Find the value of x and y.
Answer:
x = 9, y = 27
Step-by-step explanation:
Since the figures are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{x-1}{6}[/tex] = [tex]\frac{16}{12}[/tex] ( cross- multiply )
12(x - 1) = 96 ( divide both sides by 12 )
x - 1 = 8 ( add 1 to both sides )
x = 9
Also
[tex]\frac{y+1}{21}[/tex] = [tex]\frac{16}{12}[/tex] ( cross- multiply )
12(y + 1) = 336 ( divide both sides by 12 )
y + 1 = 28 ( subtract 1 from both sides )
y = 27
The Obstacle Fitness Course is scored by awarding 12 points for every
station that is passed and deducting 8 points for every station that is failed.
Stations that are not tried do not affect the score. Monica passed 7
stations and failed 4 stations. Julie passed 9 stations and failed 7 stations.
Who got a higher score?
Answer:
They had the same score
Step-by-step explanation:
Monica (12x7)+(-8x4)= 52
Julie (12x9)+(-8x7)= 52
ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′.
Select the option that completes the statement:
The triangles' corresponding angles are ________, and their corresponding sides are ________; therefore, the triangles are ________.
A. congruent; similar; proportional
B. congruent; proportional; similar
C. proportional; congruent; similar
D. proportional; similar; congruent
The statement is that when ΔABC is dilated from the origin at a scale factor of 3 to create ΔA′B′C′, their corresponding angles are congruent, and their corresponding sides are proportional; therefore, the triangles are similar. The correct answer is option B
In order to prove the given statement, we will need to know that dilation is a transformation in which a figure is stretched in a particular direction by a certain factor (scale factor) while keeping its shape constant. We use this transformation to create similar figures.
When a figure is dilated, all of its corresponding sides are stretched, and the angles remain the same.The corresponding angles are the angles that have the same location in the two similar figures. The corresponding sides are the sides that have the same position in the two similar figures.
Since the triangles are similar, we can say that the corresponding sides of the triangles are proportional. On the other hand, the corresponding angles are congruent.
The correct option is B, which states that the triangles' corresponding angles are congruent, their corresponding sides are proportional, and therefore the triangles are similar.
For more questions on scale factor
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help mw with thes two plz owo
Answer:
for the first one y would be zero
for the second one c would be -13/3
Write the slope intercept form of the equation of the line through the given point plz
Answer:
y = 5/2x + 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope m = 5/2
Point (-4, -5)
Step 2: Find y-intercept b
Define: y = 5/2x + bSubstitute in point: -5 = 5/2(-4) + bMultiply: -5 = -10 + bIsolate b: 5 = bRewrite: b = 5Step 3: Write linear equation
y = 5/2x + 5
Which of the following tables of equivalent ratios is completed correctly? Choose all that apply. Show your work.
The first picture is A
The second one is B
And the third one is C
In AHIJ, m_H=(8x-6)°, m_1=(2x-4)', and m2)=(x-8)". Find mcH.
9514 1404 393
Answer:
m∠H = 138°
Step-by-step explanation:
Perhaps you have ΔHIJ and want the measure of ∠H.
∠H +∠I +∠J = 180°
(8x-6) +(2x-4) +(x-8) = 180
11x -18 = 180 . . . . . . collect terms
11x = 198 . . . . . . . . . add 18
x = 18 . . . . . . . . . . . divide by 11
Then angle H is ...
m∠H = (8(18) -6)°
m∠H = 138°
3) Find the perimeter of the following
polygon.
-4 yd.
9 yd.
P =
Answer:
p = 42yds.
Step-by-step explanation:
The single dashes indicate that each of those lines are equivalent
The double dashed lines are equal to each other
Because there are 6 single dashed lines that are all equal to 4 yards, and 2 double dashed lines that are both equal to 9 yards, your equation will look like this:
(4 x 6)+(9 x 2)=p
now just solve this using the order of operations
4 x 6 = 24 and 9 x 2 = 18 and 18 + 24 = 42 so p = 42yds.
Abby is reading a 360 page book. On Monday she reads 1/12 of the book. On Tuesday, she reads 1/6 of the remaining pages. How many pages does Abby have left to read?
Step-by-step explanation:
360 divided by 1/12 = 30
360 - 30 = 330
330 divided by 1/6 = 55
330 - 55 = 275
Answer: Abby has 275 pages left to read.
Reagan used 1,297 sq ft of wrapping paper to wrap gifts for everyone in her class. If each gift used the same amount of wrapping paper and she wrapped 24 gifts, how much wrapping paper did she use for each gift?
Which function has the same graph as x + y = 112 OA x) = -y + 11 OB. f(x) = -x + 11 Oc. x) = x- 11 O D. x) = y-11
Answer:
B. f(x) = -x + 11
Step-by-step explanation:
First if you rearrange the equation you get f(x) = -x + 11, like this:
x + y = 11
Minus x from both sides
y = -x + 11
F(x) and y are interchangeable so we just put f(x) in
f(x) = -x + 11
Each of the graphs are attached and we see that they are the same!
Hope this helps!!
- Kay
⚠️⚠️ HELP me find the M the B and equation (Y=Mx+B) ⚠️⚠️
1) What is the slope of the line in the graph show below?
A. -2
B. -1
C. 1
D.2
2) Find the slope of a line that passes through (-2,-3) and (1,1).
A. 1/3
B. 1
C. 2
D. 4/3
1) Answer is D which is 2
2) Answer is D which is 4/3
I am 100% Positive it is right. Brainliest would be appreciated!
I need help with question 13. you have to simplify the expression and the answer will be a letter on the right side.
Answer:
question 13 is with I
14x+21
Answer:
14x + 21
Step-by-step explanation:
In #13, perform the indicated multiplication (using Distributive Property):
-4(-2x - 7) + 6x - 7 becomes:
8x + 28 + 6x - 7, or
14x + 21 This is Answer "I"
Express 10500 in terms of its prime factors
Step-by-step explanation:
[tex]10500 = 3 \times 5 \times 5 \times 5 \times 7 \times 2 \times 2 \\ \\ 10500 = 2 \times 2 \times 3 \times 5 \times 5 \times 5 \times 7 \\ 10500 = {2}^{2} \times 3 \times {5}^{3} \times 7[/tex]
Find the value of x in the triangle shown below.
16
12
Answer:
20
Step-by-step explanation:
10) An object is moving at a speed of 8 miles
per year. Express this speed in meters per
minute. Round your answer to the nearest
hundredth.
A) 2 meters/min B) 2.2 meters/min
C) 0.02 meters/min D) 12 meters/min
ad
st
Answer:
c) 0.02 meters/min question on delta math
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the measure of ∠EGF?
°
What is the measure of ∠CGF?
Answer:
measure of <EGF =65°
measure of <CGF=115°
Step-by-step explanation:
180°-50°=130°
130°:2=65°
180°-65°=115°
Answer:
Angle EGF is 65 degrees
Angle CGF if 115 degrees
simplify
21-(x+7)
how do i solve it.
^^^^
please help :)))
2x-1.1/4+x/3=2
2x-1/4+x/3=2
2x-1/4+x/3+1/4=2+1/4
2x+x/3=9/4
3(2x+x/3)=3.94
7x=27/4
7x/7=27/4/7
x=27/8
PLEASE MARK ME AS BRAINLIEST IF U LIKE MY ANSWER AND SORRY FOR GIVING THE ANSWER LATE BECAUSE I'VE GIVEN U ANSWER FROM MY LAPTOP PLEASE TELL THAT IT'S CORRECT OR NOTThe triangles in the picture are congruent by which method.
Answer:
Theres no picture...
Step-by-step explanation:
Simplify -3√72
A
-18√6
B
-6√6
C
-18√2
D
6√2
Answer:
C. -18√2
Step-by-step explanation:
Please help me please thank you so much in advance
Answer:
147
Step-by-step explanation:
trust me im Really Smart GIVE ME BRAINLIST just did this question im first
Answer:
What is the question? BUT off guess I'm assuming its option (C) - 147
Step-by-step explanation:
Hope this helped if so please leave a rating! :)
THANKS!
6t - 9 + t +13. help please
Answer:
7t + 4
Step-by-step explanation:
hope this helps (✿◕‿◕✿)
What is the vertex of the parabola with the equation y=1/5x^2 + 2x - 8
Answer:
(-5,-13)
Step-by-step explanation:
Find the vertex of the parabola y=1/5x^2+2x−8.
In this equation a=15 and b = 2.
x= -2/2(1/5) = -2/2/5 = -2/1 * 5/2 = -5
Substitute −5 into the equation y=1/5x^2+2x−8
y=1/5(−5)^2+2(−5)−8
y=5−10−8
y=−13
The vertex is (−5 , −13)
Check your answers by clicking all of the items
you included in your explanation.
A.A large portion of an organism's mass is in
the form of water.
B.Water contains two hydrogen atoms and one
oxygen atom.
C.The mass of oxygen is sixteen times that of
hydrogen.
Answer:
A and C
Step-by-step explanation:
Please help quickly I will give brainliest to the first correct response!
Jackie took $24 to the movie theater with her and her friends. The price of each bag of popcorn is $4 and the price of each candy bar is $3.
Let the x axis represent the number of candy bars and the y axis represent the number of bags of popcorn.
What is the x intercept and what does it mean?
What is the y intercept and what does it mean?
Answer:
x-intercept is 8, meaning if you get 8 candy bars, you can get 0 popcorn bags.
y-intercept is 6, meaning if you get 6 popcorn bags, you can get 0 candy bars.
Step-by-step explanation:
Answer:
When Jackie had 0 candy bars, she had 6 (y-intercept) bags of popcorn and when Jackie had 0 bags of popcorn, she had 8 (x-intercept) bars of candy.
Step-by-step explanation:
The y-axis represents the amount of popcorn bags she has and the x-axis has the amount of candy bars. When the linear line intercepts with either axis, at least one axis is always at zero.