Answer:
10 = -2(7) +24
Step-by-step explanation:
or
y = -2 (7) +24
first, we find the negative reciprocal of the slope of the first equation.
1/2 = -2/1 = -2
So the slope for the new equation will be -2
y = -2x+b
Now we know it will pass through the point (7,10)
So the x coordinate will become x, and the y coordinate will become y
10= -2(7) +b
-2 x 7 = -14 + b = 10
-14 -10 = -24
so
b = 24
because
-14 + 24 = 10
So our final equation(s) are
y = -2(7) +24
or
10 = -2 (7) + 24
A concrete pillar has the shape of a cylinder. It has a diameter of 8 m and a height of 9 m. If concrete cost $87 per cubic meter, how much did the concrete cost for the pillar? Use 3.14 for pi and do not round your answer
Answer:
It will cost $39,337.92 for the piller.
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 8 m
Height of the cylinder, h = 9 m
If concrete cost $87 per cubic meter, we need to find how much the concrete cost for the pillar.
The volume of the cylinder is given by :
[tex]V=\pi r^2h\\\\=3.14\times (4)^2\times 9\\\\=452.16\ m^3[/tex]
Cost per cubic meter = $87
Cost for 452.16 m³ will be :
C = 452.16 × 87
C = $39,337.92
Hence, it will cost $39,337.92 for the piller.
Please help whats a,h,k??
9514 1404 393
Answer:
a = -2, h = 2, k = 1
Step-by-step explanation:
Compare the expressions. Match one pattern to the other.
[tex]f(x)=-2|x-2|+1\\\\f(x)=\ \,\,a|x-h|+k \qquad\ a=-2,\ h=2,\ k=1[/tex]
__
The transformations are ...
Translation by (h, k) = (2, 1). That is, 2 units right and 1 unit up.
Vertical scaling by "a", which is (i) reflection over the x-axis (because a < 0), and (ii) expansion by a factor of 2.
A table and graph are shown in the attachment.
At a Christmas party,40 people wore a grinch or elf costume. If there were 50 people at the party and 10 were dressed as the grinch, what percent were wearing an elf costume ?
Answer:
Percent [wearing elf costume] = 60%
Step-by-step explanation:
Given:
Total number of people = 50
Grinch or elf costume = 40
Grinch costume = 10
Find:
Percent [wearing elf costume]
Computation:
Percent [wearing elf costume] = [Grinch or elf costume - Grinch costume] / Total number of people
Percent [wearing elf costume] = [40-10] / 50
Percent [wearing elf costume] = [30] / 50
Percent [wearing elf costume] = 60%
PLEASE HELP ME ASAP :)))))))))
does this have one solution, multiple, or infinite? PLEASE SHOW WORK
2x + y = 5
y = -4 -2x
Answer:
(1) x= −1 /2 y+ 5 /2
(2) x= −1 /2 y−2
Step-by-step explanation:
(1) 2x+y=5
Step 1: Add -y to both sides.
2x+y+−y=5+−y
2x=−y+5
Step 2: Divide both sides by 2.
2x /2 = (−y+5)/2
x= −1 /2 y+ 5 /2
(2) Step 1: Flip the equation.
−2x−4=y
Step 2: Add 4 to both sides.
−2x−4+4=y+4
−2x=y+4
Step 3: Divide both sides by -2.
−2x /−2 = (y+4) /−2
x= −1 /2 y−2
The length of one leg of an isosceles right triangle is 3 ft. What is the perimeter of the triangle?
3 + 3 StartRoot 2 EndRoot ft
3 + 3 StartRoot 3 EndRoot ft
6 + 3 StartRoot 2 EndRoot ft
6 + 3 StartRoot 3 EndRoot ft
The perimeter of the isosceles right triangle is P = 6 + 3√2 feet
What Is an Isosceles Triangle?A triangle with two sides of equal length is an isosceles triangle. The isosceles triangle has three acute angles, meaning that the angles are less than 90°. The sum of three angles of an isosceles triangle is always 180°.
In an isosceles triangle, the two equal sides are called legs, and the remaining side is called the base. The angle opposite the base is called the vertex angle
The three types of Isosceles Triangles are :
Isosceles acute triangle
Isosceles right triangle
Isosceles obtuse triangle
Given data ,
Let the isosceles triangle be represented as ΔABC
In an isosceles right triangle, the two legs are congruent, so if one leg has a length of 3 ft, then the other leg also has a length of 3 ft. Let's call the length of the hypotenuse h.
Using the Pythagorean theorem, we can find the length of the hypotenuse:
h² = 3² + 3²
h² = 18
Taking square roots on both sides , we get
h = 3√2 feet
The perimeter of the triangle is the sum of the lengths of its sides:
Perimeter = 3 + 3 + 3√2 = 6 + 6 + 3√2 feet
Hence , the perimeter is 6 + 3√2 feet
To learn more about isosceles triangles click :
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PLEASE ANSWER THISSS
Answer:
78.5 ft
Step-by-step explanation:
You had the right answer
Hope you got the clarification you needed! :)
Brainliest pls
5th grade math. Correct answer will be marked brainliest.
Answer:
The value of n is 0.64
Step-by-step explanation:
10^3 = 1000
640 divided by 10^3 = 0.64
Help ASAP!! Thank youuuuu
Answer:
c. [tex]1\leq x\leq 6[/tex]
Step-by-step explanation:
the domain is the set of all possible inputs of a function, in other words, all the x-values that make up the function. in this function, the first x-value is 1, and the function is continuous all the way up to 6, so, the domain would be the answer in c.
A plumber charges a service charge of $20 plus $15 per one-half hour of work. the cost to hire the plumber is given by the function f(x) = 15x + 20, in which f(x) represents the cost and x represents the number of one-half hours the plumber works. If the Jackson family has $200 to spend on the water leak repair, what is the maximum number of hours the plumber can work to repair the leak?
Answer:
Veg=156
Step-by-step explanation:
I just did the mat
Which number is greatest?
O 2.89 x 10
O 1.997x102
O 8.9x104
O 5x10
Answer:
c
Step-by-step explanation:
you just multiply in the calculator
i’m putting my faith in you guys my course ends tommorow
Answer:
A
Step-by-step explanation:
distribute 3 to 4x+2 --> 12x + 6 = 8x + 24 - 2x
combind like terms --> 12x + 6 = 6x + 24
subtract 6 from both sides --> 12x +6 -6 = 6x + 24 - 6 --> 12x = 6x + 18
subtract 6x from both sides --> 12x - 6x = 6x -6x +18 --> 6x = 18
divide both sides by 6 to get what x equals --> x = 3
The tens digit of a two-digit number is 1 less than 3 times the units digit. If the digits are reversed, the new number is 45 less than the original number. Find the number
Answer:
32 is the
number
Step-by-step explanation:
What is the inverse of the function f(x) = 4x+8?
Answer:
(x-8)/4=y
Step-by-step explanation:
f(x)= 4x+8
y=4x+8
y-8=4x
(y-8)/4=x
(x-8)/4=y
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
%
Answer:
fraction 40/100
decimal 0.4
precent 40%
Karen is training for a marathon. she ran 15 miles in 135 minutes. At this rate, how long will it take Karen to run 25 miles.
Answer:
225
Step-by-step explanation:
135/15=9x25=225
PLS I NEED YOUR HELP AND I REALLY NEED THIS DONE CAN YOU GUYS DO THIS FOR ME I'LL BRAINLIEST. use the quadratic formula to find the equation. 3x^-10x+5=0
A. 10±√40/6
B. 2±√24/2
C. 1±√35/2
D. 5±√15/3
Answer:
my answer is (5±√10)/3
h(x)=9−2x and g(x)=f(x)+6.
What equation shows the correct rule for the function g?
g(x)=9+4x
g(x)=15+2x
g(x)=−2x+6
g(x)=15−2x
Answer:
the answer id g(x)=15-2x.
Answer:
it is g(x)= 15-2x
Step-by-step explanation:
i took the test and got it right
hope this helps
Classify each triangle by its angles and sides. Equal sides and equal angles, if any, are indicated in each diagram. (Please help)
Answer:
This is an isosoles triangle because it has two congruent sides, and two congruent angles. Brainliest pls :)
Answer: isosceles triangle
Step-by-step explanation: isosceles triangles have two sides that are the same and two angles that are the same
Find an equation of the line that passes through (3,10) and is parallel to the line x-3y=1
Answer:
x - 3y = -27
Step-by-step explanation:
Two parallel lines have equations of the same form; only the constants differ.
Thus, if the given line is x - 3y = 1, the desired new line has equation of the form x - 3y = C, where we must find the value of C.
Substituting 3 for x and 10 for y in x - 3y = C, we get 3 - 3(10) = C, or
3 - 30 = C. Thus, C = -27 and the desired new line is x - 3y = -27.
Arielle has a collection of grasshoppers and crickets. She has 561 insects in all. The number of grasshoppers is twice the number of crickets. Find the number of
each type of insect that she has.
crickets and
grasshoppers
Answer:
Arielle has 374 grasshoppers and 187 crickets
Step-by-step explanation:
Let's set:
x = number of grasshoppers
y = number of crickets
Arielle has a collection of 561 insects, thus:
x + y = 561 [1]
The number of grasshoppers is twice the number of crickets, thus:
x = 2y [2]
Substituting [2] in [1]:
2y + y = 561
Simplifying:
3y = 561
Dividing by 3:
y = 561/3
y = 187
From [2]:
x = 2*187 = 374
x = 374
Arielle has 374 grasshoppers and 187 crickets
- One of a triangles vertices is at Point A (4, -6). This triangle is transformed according
to the notation (x,y) → (x,-y+2)
What will be the coordinate of Point A ?
I need an answer ASAP! Pls help
The new coordinates of point A would change as follows:
(4, -6) → {4, -(-6) + 2} = (4, 6 + 2) = A' → (4, 8)
The new coordinates for point A are (4, 8).
orrect
Question 12
Rectangle has length 12 and width 8. Rectangle B has length 15 and width 10.
Rectangle C has length 30 and width 15.
Rectangle B is a scaled copy of Rectangle A. What is the scale factor?
Select all equivalent answers.
1.25
4/5
5/4
20.8
11/4
Answer:
1.25
5/4
1 1/4
Step-by-step explanation:
The dimensions of rectangle A are L=12 and W=8. The dimensions of rectangle B are L=15 and W=10.
We are told rectangle B is a copy of rectangle A, thus we must find the scale factor by dividing both dimensions:
15/12=5/4
10/8 =5/4
Dividing 5/4 we get 1.25.
Converting 5/4 to mixed fraction: 5/4= 1 1/4
There are three valid selections:
1.25
5/4
1 1/4
the area of a small square is 25 square units what is the exact length in units of a single of a large square
Answer:
5
Step-by-step explanation:
The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side.
jason can travel 24 miles in 1/2 hour. What is his average speed in miles per hour
Answer:
Step-by-step explanation:
If Jason travel 24 miles in 1/2 hour, he will travel 2*24=2*1/2h
48 miles/hour
or
24 miles...............................30 min
? miles in .............................60 min
(60*24)/30=48
I’ll give the Brainliest to who answers my question and gives an reasonable explanation.
Thank you.
Answer:
second line plot
Step-by-step explanation:
It is the second line pot because...
d-4>-3
so what you do is you make it a equation
d-4=-3
you transfer the -4 to the other side by adding it on both sides
d=1
therfore d can 1 and any number above 1
I hope this helped
What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.
A. y = 1.383x + 1.526
B. y= -1.526x - 1.383
c. y = 1.383x - 1.526
D. y = -1.526x + 1383
Answer:
d
Step-by-step explanation:
it is really simple if you think about it or maybe I'm wrong
The line of best fit is y = 1.383x - 1.526 after calculating using the table, and option (c) y = 1.383x - 1.526 is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
As we know, the regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.
We have data shown in the table:
We can find the line of best fit by the formula.
Let y = mx + c
m is the slope of the line of best fit and the y-intercept is c.
After calculating:
m = 1.383
c = -1.526
y = 1.383x - 1.526
Thus, the line of best fit is y = 1.383x - 1.526 after calculating using the table, and option (c) y = 1.383x - 1.526 is correct.
Learn more about the line of best fit here:
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What is the solution set for -4x - 10 ≤ 2?
x ≤ -3
x ≥ -3
x ≤ 2
x ≥ 2
PLS HELP WILL GIVE BRANLIEST
Answer:
A. y = 8x
Step-by-step explanation:
y is the product, and x is one of the variables that will multiply another number to equal y. So x times a variable equals y, then y divide by x would equal that variable. And in the questions it gave us if y = 48 and x = 6. So we'll use that: 48/6 = 8, the variable is 8. 8 times 6 equals 48 so:
y = 8x
11 + 16 + 4 = ????????????
Answer:
31! :D
Step-by-step explanation:
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2(x + 4) = 4x + 3 – 2x + 5
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Equation
2(x + 4) = 4x + 3 - 2x + 5
Step 2: Solve for x
Distribute 2: 2x + 8 = 4x + 3 - 2x + 5Combine like terms: 2x + 8 = 2x + 8Subtract 8 on both sides: 2x = 2xDivide 2 on both sides: x = xHere we see that x does indeed equal x.
∴ x = infinite amount of solutions