The equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7
The standard equation of a line in slope-intercept form is expressed as
y = mx+b
m is the slope of the line
b is the y-intercept
Given the coordinate points (2, 1) and (5, 8)
Get the slope of the line:
[tex]m=\frac{-8-1}{5-2} \\m=\frac{-9}{3}\\m=-3[/tex]
Get the y-intercept
Recall that y = mx + b
1 = -3(2) + b
1 = -6 + b
b = 1 + 6
b = 7
Get the required equation of the line.
y = -3x + 7
Hence the equation of the line through ( 2 , 1 ) and (5, -8) is y = -3x + 7
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There are 12 people in a class they are asked wether they have a brother or sister 9 say they have a brother 7 say they have a sister 2 say they have neither
Step-by-step explanation:
Here is the work in the middle there would be 2 because the have neither brother or sister
Answer:
2
Step-by-step explanation:
Aless and Louis are going to put a rectangular pool in their backyard. The cost of installation is $6,000. If the dimensions of the pool are 30 meters by 20 meters by 2 meters, what is the cost of the installation of their pool per cubic meter?
Answer:
cost of the pool per cubic meters = $5
Step-by-step explanation:
The rectangular pool has a dimension of 30 m by 20 m by 2 m. To know the cost of the pool per cubic meter we have to calculate the volume of the pool . Then divide the total cost of the pool by it volume.
volume of the rectangular pool = length × height × width
volume of the rectangular pool = 30 × 20 × 2
volume of the rectangular pool = 1200 m²
The cost of installation is $6000 . The volume of the pool is 1200 cubic meters.
cost per cubic meters = total cost of installation/volume
cost per cubic meters = 6000/1200
cost of the pool per cubic meters = $5
Answer this to be called the smartest...... What has 4 lags in the morning, 2 in the afternoon, and 3 at night..?
Answer:
A person
Step-by-step explanation:
I have heard this riddle multiple times, it is very well known and ( in my opinion ) very intriguing;
If we are considering the 4 legs in the morning, we can assume it to be a baby crawling on all 4's. 2 legs in the afternoon represents a more elderly person, a young child or adult on their 2 legs, and 3 in the night models an elderly person, using a walking stick as their " leg "
Answer; In other words, a person has 4 legs in the morning, 2 in the afternoon, and 3 at night
A human is one who has 4 legs in the morning, 2 in the afternoon, and 3 at night.
What is a riddle?
A statement, inquiry, or phrase with a hidden or double sense that is presented as a problem to be answered is called a riddle. A riddle often consists of a topic or a statement with numerous interpretations that must be resolved. Riddles can be humorous brain teasers or wanted-to-think puzzles. It is similar to working to remedy a riddle.
Morning represents a baby. A baby crawling in the morning has four legs and hands included.
An adult represent afternoon walks with two legs and they are the one who have to sand on their own.
An elderly person representing night who walks with the aid of a cane or walking stick is known as "3 legs in the evening." as they might have trouble while walking.
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x + 2y = 13
-x + y = 5
Answer:
x = 1; y = 6
Step-by-step explanation:
x + 2y = 13
-x + y = 5
Add the equations to eliminate x.
3y = 18
Divide both sides by 3.
y = 6
Now substitute y with 6 in the first equation.
x + 2(6) = 13
x + 12 = 13
Subtract 12 from both sides.
x = 1
Answer: x = 1; y = 6
Order the following expressions by their values from least to greatest.
b-a
a -0.5
a
Answer:
a
a -0.5
b -a
i believe that is the order but i could be wrong
Answer:
hi there !!
the correct answer should be: a - 0.5, a, b - a
Step-by-step explanation:
first let's show -0.5 on the number line.
now let's show b - a on the number line.
the given expressions are ordered by their values below.
Aaron baked two identical cakes. He cut one into 9 equal
slices and the other into 18 equal slices.show that 2/3 of the 9-slice cake gives the same
number of pieces as 1/3 of the 18-slice cake.
Answer:
23
Step-by-step explanation:
evaluate the expression -3 times 0.4 to the power of 2 + -1.1 to the power of 3?
Answer:
idk i have the same question
Step-by-step explanation:
The volume of a cone with a radius of 7 cm is 147 pi cubic centimeters. Which expression can be used to find h, the height of the cone?
A. 147 pi = one-third (7) (h) squared
B. 147 pi = one-third pi (7 squared) (h)
C. 147 pi = one-third pi h
D. 147 pi = one-third pi (7) (h)
Answer:
B
Step-by-step explanation:
Volume = ⅓ pi × r² × h
147pi = ⅓ × pi × 7² × h
Step-by-step explanation:
Step 1: Find the expression that can be used to find h
[tex]V = \pi * r^2 * \frac{h}{3}[/tex]
[tex]147 \pi = \pi * (7)^2 * \frac{h}{3}[/tex]
[tex]147\pi = \frac{1}{3} * \pi * 7^2 * h[/tex]
147 pi = one-third pi (7 squared) (h)
Answer: Option B
Find the parallelogram.
Answer:
area - 120 cm
Step-by-step explanation:
Answer:
A = 120 cm^2
P = 54 cm
Step-by-step explanation:
Area of parallelogram: = base * height
A = 15 cm * 8 cm = 120 cm^2
Perimeter of parallelogram = sum of lengths of sides
P = 15 cm + 15 cm + 12 cm + 12 cm = 54 cm
Your friend is supposed to call you between 3 pm and 4 pm at 3:20 pm you realize that your cell phone is off and you immediately turn it on what is the probability that you missed your friends call
Answer:
1/3
Step-by-step explanation:
20/60 = 1/3
60 mins in the hour;
20 missed;
20/60 probability of friend calling in the missed 20 mins.
A scale drawing is shown for clubhouse. The measurements are 4“ x 8“ what will the actual clubhouse measurements be if the scale factor is 1 inch equals 2 feet
Answer:
8ft. x 16ft.
Step-by-step explanation:
If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.
Someone please help me.
Answer:
D
Step-by-step explanation:
-4 x 3/2 = -12/2; which equals -6
so -6x.
-4 x -1/2 = 4/2; which equals 2
This means that:
-6x + 2 = 15; so 'D' is the answer
Answer:
D
Step-by-step explanation:
The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.
hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points
Answer:
graph b because its a parabola
Step-by-step explanation:
Answer:
Graph B does not belong
Step-by-step explanation:
All the other graphs are linear inequalities, whereas graph B is a quadratic inequality. You can also tell by how they look. The straight lines are linear, and the symmetric curve (parabola) is a quadratic
81-4x^2
please explain how you got your answer
Answer:
b = 2 x .
(9+2x) (9-2x)
Step-by-step explanation:
Since both terms are perfect squares, factor using the difference of squares formula, a 2 − b 2 = ( a + b ) ( a − b )
Answer:
Step-by-step explanation:
81 - 4[tex]x^{2}[/tex]
notice how this is difference of squares, meaning you can simplify
(9-2x) (9+2x)
if the question is asking to find roots, then you just set this equal to 0, and that means that either 9-2x or 9+2x must be equal to 0.
9-2x = 0 9+2x = 0
9 = 2x 9 = -2x
x = 4.5 x = -4.5
Therefore the two roots of this equation are ±4.5
Simplify each rational expression. State any restrictions on the variable.
x-3/x+4 ÷ x^2-1/x
Show your work.
Answer:
x-3/x+4 ÷ x^2-1/x ; x ≠ -4, 0
Step-by-step explanation:
x-3/x+4 ÷ x^2-1/x --> x ≠ -4, 0 (because the denominators would be 0 if x = -4 or 0)-->
(x-3)/(x-4) * x/(x^2-1) -->
((x-3)(x))/((x-4)(x-1)(x+1))-->
No way to simplify it further-->
x-3/x+4 ÷ x^2-1/x
Please help me!!!!!!!
Write a quadratic function whose zeros are 2 and 13.
Answer:
x^2-15+26
Step-by-step explanation:
(x-13)(x-2)=x^2-2x-13x+26=x^2-15+26
Hope this helps! Please mark brainliest :)
What is 4 divided 2/3
Answer:
the answer for that equation is 6
Answer:
Step-by-step explanation:
4÷2/3=4/1÷2/3=4/1×3/2=12/2=6
I hope it'll help you much
Thank you for asking
The area of a garden is (x² + 7x + 10)
square yards. Find the dimensions of the
garden if x= 14.
Answer:
The dimensions are approximentaly 17.44.
Step-by-step explanation:
= x2 + 7x + 10
= 196 + 7x + 10
= 196 + 98 + 10
= 294 + 10
= 304 yards squared
The dimensions of the garden if x= 14 will be approximately 17.44.
What is the area of a square?The area of a square can be calculated as the square of the sides of a given figure.
The area of a square = [tex]side^{2}[/tex]
The area of a garden= (x² + 7x + 10)
= 196 + 7(14) + 10
= 196 + 98 + 10
= 294 + 10
The area of a garden= 304 yards squared
The area of a garden = side × side
√ 304 = side
side = 17.44 yards
Thus, the dimensions of the garden if x= 14 will be 17.44 yards.
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Gina had $15. Then she bought a T-shirt for $8.75, a baseball cap for $1.99, and a refrigerator magnet for $0.75. How much money did she spend in all?
A.
$10.66
B.
$11.49
C.
$12.82
D.
$14.61
Answer:
$11.49
Step-by-step explanation:
Answer:
$11.49
Step-by-step explanation:
There is a 25% chance that a canal will flood during any given year. What is the experimental probability that the canal will flood in at least 1 of the next 6 years?
Answer:
Probability = 0.356
Step-by-step explanation:
Probability of flooding = 25/100
= 0.25 lets call it p
So probability of not flooding = 1-0.25= 0.75. Lets call it q
So to find the probability of flooding in 1 out of 6 we use combination.
Probabilty = 6C1p^1q^5
Probabilty= 6 *0.25^1 *0.75^5
Probability = 0.356
The angle of depression of a diver from the boat is 26 degrees and the diver is 248 ft. deep. To the nearest foot, how far is the diver from the ship?
Answer:
Distance is 566.21 ft
Step-by-step explanation:
sin 26=h/d
(1)step:0.438=248/d
(2)step:d=248/0.438
(3)step:d=566.21 ft
Answer:
508 ft
Step-by-step explanation:
See attachment.
We need to use trigonometry to solve this, specifically, tangent, which is opposite divided by adjacent.
Here, our angle is 26 degrees, and our opposite side is 248 feet. Let's denote the adjacent side as x. Now, write the equation:
tan(26) = 248 / x
Multiply both sides by x and divide both sides by sin/tan(26):
x = 248 ÷ tan(26) ≈ 508.47 ≈ 508 ft
Find the volume of this figure.
12 m
6 m
6m
Answer:
432
Step-by-step explanation:
To get volume you need to multiply all of the numbers together (Length, height, and width). You need to multiply 6 and 6 (You get 36) and multply the answer by 12 to get 432.
Hope this helps!
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Mary had 45 blue ribbons for every 15 yellow ribbons. If she bought 30 yellow ribbons how many blue ribbons will she need?
Answer:
90 blue ribbons
Step-by-step explanation:
Solve for all values of x by factoring.
x2 + 10x + 8 = x
Answer:
x=-1,x=-8 can't factor it
Step-by-step explanation:
Step-by-step explanation:
x = -1 , x = -8
Hope its help u
Which statements are true about surface area and volume? Check all that apply. Volume is labeled with cubic units. Surface area is labeled with cubic units. Volume of a prism is the product of the area of the base and height. Surface area is the sum of the areas of each side. The volume of a prism is One-third the volume of a pyramid.
We will review each option and see that it corresponds:
-Volume is labeled with cubic units.
True, the units of volume are cubic, since it is distance to the cube.
-Surface area is labeled with cubic units.
False, the units of the area are square, since it is distance squared
-Volume of a prism is the product of the area of the base and height.
True, depending on the base, the volume of the prism is determined, therefore it would be the area of the base by the height.
-Surface area is the sum of the areas of each side.
True, the surface area corresponds to the sum of the lateral areas and the area of the base, that is, the area of each side.
-The volume of a prism is One-third the volume of a pyramid.
False, on the contrary, the volume of a pyramid is one third of the volume of a prism
Answer:
A
C
D
Step-by-step explanation:
Hope you guys have a good day!
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In a probability model, the probabilities of all the outcomes in the sample space add up to _____.
Answer:
They all add up to 1
Step-by-step explanation:
For a given probability model, when we add all possible probabilities, our answer must be equal to 1.
In a probability model, what we are trying to do is to look at all possible outcomes that can arise from using the model. All these outcomes can be seen as a fraction of the total. They each have their own percentage of occurrence.
It is when we are up all these fractions that we can get the maximum which must not be greater than 1. Thus, all probabilities of occurrence in a probability model ranges from 0 to 1, with the addition of all the probabilities equal to 1. 0 being the probability that the intended event has no probability of occurrence at all and 1 meaning it has the maximum possible probability to occur
HELP ASAP!!
the two rectangular prisms shown have bases with the same area. Which statement is true?
Answer: It is B
Step-by-step explanation:
you flip a coin 20 times. you land on heads 13 times. what is the percent error?
Answer:
65%
Step-by-step explanation:
You have to do 13 divided by 20 and get 0.65 and then multiply by 100
and get 65
what will happen to the volume of a cylinder if the length if the height is tripled?
A. Double
B. Stay the same
C. Triple
D. 9 times as large
Answer:
Triple
Step-by-step explanation:
V = π * r^2 *h
h is directly proportional to V so when h increases V increases.
This is a linear relationship so if h is tripled the volume will be tripled as well.
if r tripled then V would be 9 times as large since r has a square relationship with V.
If you're unsure about these just plug in number r= 2, h= 4, and perform the operation they ask you to do (triple or double) and you'll always get it right.
Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
algebraically
O (325)
(-3, 49)
(3,25) and (79)
(-3, 49) and (-7, 65)
Answer:
The answer is c
Step-by-step explanation:
(7,9) (3,25)
The solution sets of the given system of equations are (3,25) and (7,9).
Given equations are :
[tex]y=-x^{2} +6x+16[/tex]........(1)
[tex]y=-4x+37[/tex]...........(2)
What is an equation?An equation is a statement that equates to two expressions.
So, for the solutions of the given system of equations
[tex]-x^{2} +6x+16=-4x+37[/tex]
[tex]x^{2} -10x+21=0[/tex]
[tex]x^{2} -3x-7x+21=0\\x(x-3)-7(x-3)=0[/tex]
[tex](x-3)(x-7)=0[/tex]
So, [tex]x=3[/tex]
[tex]x=7[/tex]
Corresponding y value for x=3
[tex]y=-4*3+37\\y=25[/tex]
Corresponding y value for x=7
[tex]y=-4*7+37[/tex]
[tex]y=9[/tex]
Hence, the solution sets of the given system of equations are (3,25) and (7,9).
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