The equation of the line with slope −6 which goes through the point (−9,−6) = y = -6x + 9.
How do you calculate slope intercept?When you know the slope of something like the line to be investigated and the point given also contains the y-intercept, you can utilize the slope-intercept formula y = MX + b. (0, b). The y value of the y-intercept point is represented by b in the formula.
What is the definition of a slope?A line's slope is the ratio of how much y grows as x increases by a certain amount. The slope of a line indicates how steep it is, or how much y grows as x increases.
According to the given information:The slope of the line = -6 = m
The points (−9,−6). x = -9 , y = -6
Find the y-intercept.
y=mx+b
Substituting the value we get:
-6 = (-6 x -9) + b
-6 = -54 x b
b = 54/6
b = 9.
The equation in slope intercept form as:
y=mx+b
y = (-6)x + 9
y = -6x + 9
The equation of the line with slope −6 which goes through the point (−9,−6) = y = -6x + 9.
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in order to construct the perpendicular bisector of ab which statement describes the compass settings and the number of arc intersections needed
Answer:
The compass is placed at point a and point b, then two arcs are drawn respectively.
A line is drawn from the arcs passing through element being bisected.
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3. The cost of mass production of cars is partly constant and partly varies as the number of cars produced. The total cost of making 400 cars is sh 3,740,000 and that of making 1000 cars is sh 7,100,000. Find the cost of making 2500cars.
Step-by-step explanation:
since the process is defined by a constant term plus a variants term, the equation looks like
costs(c) = k + a×c
3,740,000 = k + 400a
7,000,000 = k + 1000a
let's simply subtract the guys from the second equation
7,000,000 = k + 1000a
- 3,740,000 = -k - 400a
------------------------------------
3,260,000 = 0 + 600a
600a = 3,260,000
a = 5,433.333333... 5,433 1/3
3,740,000 = k + 400×5,433.333333...
k = 3740000 - (400×5,433.333333...) =
= 1,566,666.66666...
so, the function is
costs(c) = 1,566,666.66666... + 5,433.333333... × c
therefore,
costs(2500) =
= 1,566,666.66666... + 5,433.333333... × 2500 =
= sh 15,150,000
please answer as soon as possible
Step-by-step explanation:
the answer is, if it's correct y=4
HELP ASSAPP PLSASEEE
Answer:
(-2,-2)
Step-by-step explanation:
For a cartesian plane, the solutions to 2 lines is where the 2 lines intercept.
Where this interception point is put into a coordinate (x,y)
Which in this case, the point of intersection is found to be (-2,-2) (Read from the graph)
IM TIMED PLEASE HELP
Find the value of x if U is between T and V, TU=7x+35,UV=4(x+7),and TU≅UV .
Multiple choice questions.
A)
−3
B)
−7/3
C)7/3
D)
3
The value of x if U is between T and V is -7/3
How to determine the value of x?The given parameters are:
U is between T and V,
TU = 7x + 35
UV = 4(x + 7)
TU ≅ UV
The above means that
7x + 35 = 4(x + 7)
Open the brackets
7x + 35 = 4x + 28
Evaluate the like terms
3x = -7
Divide both sides by 3
x = -7/3
Hence, the value of x if U is between T and V is -7/3
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. A caterer in Florida is making fresh
orange juice, the official state beverage.
Four oranges make 1 cup of juice. How
many oranges will the caterer need to
use to make 58 cups of juice? HELPPP
Step-by-step explanation:
58 multiple 4
..................
What is the area of the trapezoid shown? Show your work
The Area of the trapezoid in the image attached below is: 204 units².
How to Find the Area of a Trapezoid?To find the area of a trapezoid, the following formula is used:
Area of trapezoid = 1/2 × (a + b) × h, where h is the height of the trapezoid, and a and b are the length of the two parallel bases of the trapezoid.
Given the trapezoid in the image attached below, we have the following parameters:
a = 10
b = 24
h = 12
Area of trapezoid = 1/2 × (10 + 24) × 12
Area of trapezoid = 1/2 × (34) × 12
Area of trapezoid = 34 × 6
Area of trapezoid = 204 units²
Therefore, the Area of the trapezoid in the image attached below is: 204 units².
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6.3 = 2x - 4.5 solve for x
Answer:
x = 5.4
Step-by-step explanation:
6.3 = 2x-4.5
2x = 6.3 + 4.5 = 10.8
x= 5.4
Answer:
5.4is the value if x
Step-by-step explanation:
6.3=2x-4.5
6.3+4.5=2x
10.8=2x
10.8/2=x
5.4=x
So,x=5.4
Which of the following could be the equation of the graph shown below? Check all that apply.
(Picture included)
The equations that could represent the graph shown are:
A. -4x + 2y = -6
C. y = 3x - 2
How to Determine the Equation of a Graph?The equation of a linear graph, in slope-intercept form, can be written as y = mx + b, where:
b is the point on the y-axis that the line intercepts, which is called the y-intercept of the graph.m is the slope of the graph, which is the rise/run along the line.Given the graph in the diagram, it would have a positive slope and a negative y-intercept.
A. -4x + 2y = -6
Rewrite in slope-intercept form
2y = 4x - 6
y = 4x/2 - 6/2
y = 2x - 3 [positive slope and negative y-intercept]
B. 2x - 3y = -9
Rewrite in slope-intercept form
-3y = -2x - 9
y = 2/3x + 3 [positive slope and positive y-intercept]
C. y = 3x - 2 [positive slope and negative y-intercept]
D. y = -10 is a horizontal line.
Therefore, the equations that could represent the graph shown are:
A. -4x + 2y = -6
C. y = 3x - 2
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What is the smallest possible common factor between 2 numbers? When would that number also be the GCF? When would the lesser of 2 numbers also be the GCF of those 2 numbers?
Answer:
1
Step-by-step explanation:
What is the smallest possible common factor between 2 numbers? When would that number also be the GCF? When would the lesser of 2 numbers also be the GCF of those 2 numbers?
Convert the given measurement to the unit indicated
using the table to the right.
0.13 m³ to kg
Converting the given measurement 0.13m^3 into kg using the given table. We get the answer as 130 kg.
Measurement of 0.13m^3 to be converted to kg using the table.
To convert cubic meters to kilograms, multiply the value in cubic meters by the density of the ingredient and then multiply the result by 1000.
You can use the conversion formula :
kilograms = cubic meters × density of the ingredient × 1000
According to the table given 1 m^3 = 1 KL = 1000 kg
Here, we are given 0.13m^3,
which means it equals = 0.13 KL
and hence it equals 0.13 * 1000 = 130kg
So, 0.13m^3 = 130 kg.
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There question I need help on is “What is the ratio of the number of bananas to the total number of pieces of fruit?”
Answer: 3:12 math is power
Answer:
3:12
Step-by-step explanation:
not sure if you have to reduce but if you have simplify it it would be 1/4
Student Name: davidmontague
Distributive Property Using Area
You have just used the distributive property to write these products as a sum. If drawing rectangles
helps you, feel free to use that visual aid to rewrite the following expressions as a sum. 2 points each
5
14. 8(y + 2)
16. a(a + 3)
18. 2m(m + 4)
13. 5(m-2);
15.-3(m + 4)
17. h(h-2).
19.-2(z-8)
20. -4x(x - 10)
Following expressions are represented as a sum
14. 8y +16
16. a² +3a
18. 2m² + 8m
13. 5m - 10
15. -3m -12
17. h² - 2h
19. -2z + 16
20. -4x² + 40x
The distributive property is also known as the distribution law of multiplication in addition and subtraction. The name itself means the activity that involves dividing or distributing something. The distribution law applies to addition and subtraction.The distributive property shows that an expression given in the form A(B + C) can be solved as A × (B + C) = AB + AC. This distribution law also applies to subtraction and is expressed as A(B - C) = AB - AC. This means operand A is split between the other two operands. The distributive property of multiplication on addition is applied when we need to multiply a number by the sum of two numbers. For example, let's multiply 7 by the sum of 20 + 3. Mathematically we can represent this as 7 (20 + 3).
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A ball is thrown up in the air from the top of a building. The function h(t) = -5t²+10t + 80 models the height of the ball, in feet, after t seconds. Graph this function.
What is the maximum height reached by the ball?
Answer:
Step-by-step explanation:
h(t)=-5t²+10t+80=-5(t²-2t+1-1)+80
=-5(t²+2t+1)+5+80
=-5(t-1)²+85
maximum height reached=85 ft
A number is divided by four, and then the quotient is added to seventeen. The result is 25. Find the number. Write and solve the equation
Answer:
32
Step-by-step explanation:
32 divided by 4 is 8
8 + 17 = 25
There's your answer!
Answer:16
Step-by-step explanation:First you would have to subtract 17 from 25 and you'd get 8. Then you multiply 8 by 4 and you'll get 16 as your answer.
11. Lucretia, who works part-time as a substance abuse counselor, earns $18.15
per hour and works 20 hours per week. She is single and claims one withholding
allowance. She lives in a state with no state income tax. (2.1)
Using proportions, it is found that the weekly amounts are given as follows:
Federal Withholding: $33Social Security Tax: $22.51.Medicare Tax: $10.53.State income tax: $134.31.What is the missing information?We have to determine for Lucretia these following weekly amounts:
Federal Withholding.Social Security Tax.Medicare Tax.State income tax.The rates are given as follows:
Withholding allowance: $33 (for someone earning $363 a week).Medicare tax: 2.9%.Social Security: 6.2%.State tax: 37%, as she lives on a state with no tax, hence pays only the Federal rate.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Lucretia's weekly salary is given as follows:
20 x 18.15 = $363.
The withholding allowance is fixed at $33 for a person earning her amount, while the tax rate is of 37%, as she lives in a state with no income tax, hence she only pays the federal tax rate.
The other amounts are given as follows:
Medicare Tax: 0.029 x 363 = $10.53.Social Security Tax: 0.062 x 363 = $22.51.State tax: 0.37 x 363 = $134.31.More can be learned about proportions at https://brainly.com/question/24372153
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the general solution to
Sin2x = Cosx+l
Answer:
Step-by-step explanation:
sin2x = cosx + l
This can be written as:
2 sinxcosx = cosx + 1
One way would be to draw graphs of sin2x and cosx + 1 and see where they intersect.
Another way is to use y = tan(x/2), then sinx = 2y/(y^2+1) and cos x
= (-y^2 + 1) / (y^2 + 1) to substitute into the given equation and solve for y.
The algebra will be pretty challenging in this method.
5 + 7x + 10 = −41 what is the answer I don’t understand
answer:
[tex]15 + 7 \times = - 41 \\ 7 \times = - 41 - 15 \\ 7 \times = - 56 \\ \times = - 8[/tex]
Answer:
Step-by-step explanation:
I believe you need to just combine like terms:
5 + 7x +10 = -41
Try to get the 7x alone:
7x + 15= -41
To get 7x alone completely have it alone on the side move the 15 to the other side of the =.
7x +15 = -41
-15 -15
you'll get
7x= -55
then you need to get x all alone so divide the 7from both sides
7x=-55
/7 /7
Your solution will be:
x=-7.857 round to whichever place you need
A model rocket is launched with an initial upward velocity of 126. The rocket's height (in feet) after seconds is given by the following. Find all values of for which the rocket's height is 50 feet.
At time t = 0.4191 and t = 7.456, rocket was at the height of 50 feet;
Given equation; h = 126t - 16t²;
when rocket's height is 50 feet;
126t - 16t² = 50
16t² - 126t + 50 = 0
Using quadratic formula;
t = {126 ±√(-126)² - (4)(16)(50)}/2(16)
After solving; t =0.4191 and t = 7.456
Therefore, at time t = 0.4191 and t = 7.456, rocket was at the height of 50 feet;
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The height of a clocktower is 44 meters. Max, who is standing near the clocktower, casts a 7 meter shadow and is 2 meters tall. How long is the shadow of the clocktower? Round your answer to the nearest tenth, if necessary
Answer:
the answer is 220 i calculated
The grid above shows the graph of the parent function f(x) = |x| and a translated functions graph.
Write the equation for the translated graph.
The equation of the translated graph is g(x) = |x + 2| + 1
How to write the equation of the translated graph?The parent function is given as
f(x)= |x|
From the graph, we can see that the parent function f(x) is translated as follows:
2 units left1 unit upThis is represented as
(x, y) = (x + 2, y + 1)
So, we have
g(x) = |x + 2| + 1
Hence, the equation of the translated graph is g(x) = |x + 2| + 1
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Joni worked 14 hours more than Dominic last month. If Joni worked 7 hours for every 3 hours that Dominic worked, how many hours did they each work?
Answer:
look at the multiple of 3 and seven and find which number in the 7 multiple equal 14 more.
3/2(6x+2)=-3(x-1) need help with this
Answer:
x=0
Step-by-step explanation:
:)
Answer:
[tex]{ \tt{ \frac{3}{2}(6x + 2) = - 3(x - 1) }} \\ \\ { \tt{3(3x + 1) = - 3(x - 1)}} \\ { \tt{3x + 1 = - (x - 1)}} \\ { \tt{3x + 1 = - x + 1}} \\ { \tt{3x + x = 0}} \\ { \tt{x = 0}}[/tex]
Consider the line y = 6x-9.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?
Slope of a parallel line:
Slope of a perpendicular line:
Answer:
Gradient of parallel line: 6
Gradient of perpendicular line: -1/6
Step-by-step explanation:
The gradient is the value of m in the equation format y = mx + c.
Parallel lines share the same gradient, with just the y-axis intercept (c value) changing.
The gradient of a line perpendicular to a line is found by taking the negative reciprocal of the original line's gradient. A reciprocal is a essentially fraction flipped over. For example 3/2 becomes 2/3. 6 can be expressed as 6/1 (as every whole number can be divided by 1), so the reciprocal of that is 1/6. The negative version of 1/6 is -1/6.
I need help to find the perimeter of this triangle
Answer:
3(x+1)
Step-by-step explanation:
The perimeter of triangle is equal to sum of all side of triangle.
perimeter of triangle=(x-3)+x+(x+6)
on simplify
=3x+3
=3(x+1)
so, perimeter of triangle is equal to
=3(x+1)
8,282 in verbal form
Eight thousand two hundred and eighty two
4) Mary had some candy to give to her five
children. She first took seven pieces for
herself and then evenly divided the rest
among her children. Each child received
four pieces. With how many pieces did
she start?
Answer: 27 4 peices for 5 children
Step-by-step explanation: 4 peices for 5 children 4×5=20 then she ate 7 so 20 plus 7 is 27
Full equation 4×5+7=27
Neuer started a systematic investment program by buying $200.00 with of mutual funds on the first day of every month starting on February 1. When you purchase mutual funds, you purchase units in the fund. Neuer purchased as many units as he could with his $200.00, including fractions of units. Unit prices for the first six months were $10.00, $10.60, $11.25, $9.50, $9.20 and $12.15 respectively.
(a) What is the simple average of the unit prices?
(b) What is the total number of units purchased during the first six months (Correct to three decimals)?
(c) What is the average cost of the units purchased?
(d) What is the value of Neuer's mutual fund holdings on July 31 if the unit price on that date is $11.90?
a) The simple average of the unit prices is $10.45.
b) The total number of units purchased during the first six months is 115.898 units.
c) The average cost of the units purchased is $10.35.
d) The value of Neuer's mutual fund holdings on July 31, if the unit price on that date is $11.90, is $1,379.19.
What is an average?An average refers to the mean of a data set.
The average is computed as the total value divided by the number of values in the data set.
Data and Calculations:Month Unit Price Total Value Units
February $10.00 $200 20.000
March 10.60 200 18.868
April 11.25 200 17.778
May 9.50 200 21.052
June 9.20 200 21.739
July 12.15 200 16.461
Total prices $62.70 $1,200 115.898
Simple Average = $10.45 ($62.70/6)
The average cost of the purchased units = $10.354 ($1,200/115.898)
Thus, the value of Neuer's mutual fund holdings on July 31, if the unit price on that date is $11.90, is $1,379.19 (115.898 x $11.90).
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Evaluate.
Remember Order of Operations!
(PEMDAS)
-5 × (-7+2) - 13
Answer:
the answer is 12 just =12
Suppose there is a 1.1 degree drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature o the ground is 59.7 degrees F, what will be the temperature at an altitude of 11,000 ft?
The temperature at an altitude of 11,000 ft is found to be 47.6 Degree Fahrenheit.
What is defined as the temperature?Temperature is a measure of how hot or cold something is demonstrated in terms of one of several scales, such as Fahrenheit and Celsius. Temperature signifies the direction wherein heat energy will instantaneously flow—that is, from a hotter (higher) body to a colder body (at a lower temperature).The plane is at ground level, with a temperature of 59.7 degrees Fahrenheit. The temperature drops by 1.1 degrees Fahrenheit for every 1,000 feet.
Initial Temp = 59.7 Fahrenheit
Distance Covered = 11,000 Ft
As the plane stands there, the ground level is zero feet.
Later, it soars into the sky at 11,000 feet.
= 11×1,000
Temperature drops by 1.1 degrees Fahrenheit for every 1,000.
As a result, at 11,000 feet, the temperature will drop 11 times,
= 11×1.1
or 12.1 degrees.
Therefore, at 11,000 feet, the temperature will be Fahrenheit,
= 59.7 - 12.1
= 47.6 degree Fahrenheit
Thus, the temperature at an altitude of 11,000 ft is computed as 47.6 degree Fahrenheit.
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