Answer:
if it is straight line it's a linear
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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The diagram shows a cuboid.
4 cm
5 cm
9 cm
What is the volume of the cuboid?
Asap
Answer:
180
Step-by-step explanation:
9x5=45
45x4=180
Answer:
180 cm^3
Step-by-step explanation:
4x5x9=180
Hope this helps! ;)
Which is Q=200p/L solved for p
Answer:
P = QL/200
Step-by-step explanation:
Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd
1. Here is a sphere with radius 4 feet. What is the volume of the sphere? Express your answer in
terms of pi.
2. A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this
balloon holds. Use 3.14 as an approximation for it, and give a numerical answer
9514 1404 393
Answer:
1. (256/3)π ft³
2. 33.49 ft³
Step-by-step explanation:
1. Put 4 ft into the formula where r is, then simplify.
V = (4/3)π(4 ft)³ = (256/3)π ft³
__
2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.
V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³
-7/8+(-1/8)=
-1. 4/9+(-2. 2/3)=
-1. 2/3+(-2. 1/3)=
Пожалуйста помогите 20 балов!!!!
What is the sum of 4 1/2 + 5 1/2?
Answer:
10
Step-by-step explanation:
5 + 4 = 9 and 1/2 + 1/2 = 1 whole so 9 + 1 = 10
A line's y -intercept is 10,and its slope is 9 . What is its equation in slope-intercept form?
Answer:
y = 9x + 10
Step-by-step explanation:
y = mx + b
Here, m is slope and b is y-intercept
y = 9x + 10
The geometric mean between 8 and 18.
a) 8
b) 12
c) 14
d) 16
Explanation:
The geometric mean of two positive numbers a and b is √ab. The ratio a:√ab is equal to the ratio √ab:b.
b
For each expression, select all equivalent expressions from the list 1. 24x - 18 A. 6(4x -3) B. 6 C. 4(6x - 4) D. 12x - 9
Answer:
A
Step-by-step explanation:
In the functions in the table, x is the price of each chair. The functions give the revenue (R) and costs (C) that Carrie’s business can expect in a year at a given price for the item. Use graphing tools to examine the graphs for each set of equations. Then select the correct answer from each drop-down menu.
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Answer:
Material 2 can deliver the highest profit of about 3,225,000Material 3 is profitable for the widest range of pricesStep-by-step explanation:
The graphs of profit are shown in the attachment. Each is the difference between the revenue function and the cost function.
Material 2 (blue curve) shows the highest profit.
Material 3 (green curve) shows a profit over the widest range of prices.
Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.
The district's nutrition manager is interested in determining if the program is effective. He takes two independent
random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
the mean amount of money, in dollars spent for the program. Which of the following statements concerning the
variability of the sampling distribution of the sample mean is correct?
Answer:
A
Step-by-step explanation:
Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
What is the Nutrition?
Nutrition is the study of food and how it works in your body. Nutrition includes all the stuff that's in your food, such as vitamins, protein, fat, and more. It's important to eat a variety of foods, including fruits, vegetables, dairy products, and grains, so you have what you need to grow and be healthy.
How to determine?Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.
Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
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what number must you add to complete the square?
x^2+14x=3
Answer: 49
Step-by-step explanation: In order to complete the square, you need a perfect square trinomial on the left side of the equation.
The question is, what is the number we need?
Well it comes from a formula. The number that is added to both sides
comes from half the coefficient of the middle term squared.
So that's half of 14 which is 7, squared which is 49.
PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!
Answer:
the amplitude is 5
the period is 4 pi
Step-by-step explanation:
All things algebra triangle angle sum theorem
Answer:
The three angles of a triangle always add up to 180°.
That's basically all there is to it. I know this was pretty short but I hope it helps. :)
Answer:
The Triangle Angle Sum Theorem is that all angles in a triangle must add up to 180°.
Step-by-step explanation:
(hope this helps :P)
14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24
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Answer:
C. 12
Step-by-step explanation:
g(f(6)) = g(6 -3) = g(3) = 4(3)
g(f(6)) = 12
True or false?
The length of the intercepted arc is equal to the circumference of the circle.
Answer:
True
Step-by-step explanation:
The new Samsung 9 phone costs $500, and has a sales tax of 15%. What is the final price?
Answer:
575
Step-by-step explanation:
500 x .15 = 75
500 + 75 =575
MIguel is making a trail mix. He Uses five and one third ounces of nuts and two and tree fourths ounces of raisins Which of these is a reasonable estimate for how much more nuts Miguel uses than raisins?
(Keep as a fraction and don’t change to decimal please)
Answer:
[tex]\frac{31}{12}[/tex] more nuts would be used by Miguel then raisins
Step-by-step explanation:
The computation is shown below:
Nuts used [tex]= 5 \frac{1}{3} = \frac{16}{3}[/tex]
Raisins used [tex]= 2 \frac{3}{4} = \frac{11}{4}[/tex]
Now the difference between them is
[tex]= \frac{16}{3} - \frac{11}{4}\\\\= \frac{64 - 33}{12} \\\\= \frac{31}{12}[/tex]
Hence, [tex]\frac{31}{12}[/tex] more nuts would be used by Miguel then raisins
El lote rectangular de mi casa tiene 8m mas de profundidad que de frente y para cercalo necesitamos 46m ¿cuales son las dimensiones del lote?
Answer:
Profundidad 1= 15,5 metros
Profundidad 2= 15,5 metros
Frente 1= 7,5 metros
Frente 2= 7,5 metros
Step-by-step explanation:
Suma todo y da 46 metros que es la medida de la cerca.
resta la profundidad con el frente y da 8 metros que es la diferencia o los metros más.
:)
Solve the System of Equations using Substitution.
-3x+2y=12
x=2y-8
Answer:
(-2,3)
Step-by-step explanation:
x=2y−8;−3x+2y=12
x=2y−8
−3x+2y=12
−3(2y−8)+2y=12
−4y+24=12
−4y+24+−24=12+−24
−4y=−12
-4y=-12
y=3
x=2y−8
x=(2)(3)−8
x=−2
Is this expression equivalent to 1.5?
0.15 / 10
(0.15 divided by 10)
Answer:
False
Step-by-step explanation:
0.15/10 equals 0.015
A and T are variables.
The variable (48 - A) is directly proportional to the square of the variable T.
A is 28 when T = 2
(a) Find the formula for (48 - A) in terms of T.
please answer fasttt
Answer:
20 is the answer
Step-by-step explanation:
48-28=20
I need some help please
Answer:
might be the [tex]\sqrt{74}[/tex] because it equals 8.6 and the missing angle is slightly loger than the 7 butyou never know i might be wrong
Step-by-step explanation:
Answer it fast please
Answer:
0.00446
Step-by-step explanation:
We need to find the value of the following expression :
[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}[/tex]
We know that, [tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]
So,
[tex]\dfrac{(\dfrac{95}{17})^{-3}}{(\dfrac{15}{17})^{-2}}=(\dfrac{95}{17})^{-3}\times (\dfrac{17}{15})^2\\\\=0.00446[/tex]
So, the value of the given expression is 0.00446.
Mia said that 2 - 3a = 11 and 3a -2 +1 have the same solution. Is she correct? Explain.
Determine if the equation has the same slope as the equation
y = 2r - 4.
1. y = 2x + 4
2. y = -2x + 3.3. y = 4x - 2
4.3x - 4
Graph each equation using the slope and the y-intercept.
Answer:
Step-by-step explanation:
only y=2x+4 has the same slope as y=2x-4
slope=2
The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y- intercept of the line that models this situation?
A. Slope=- 0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018
Answer:B
Step-by-step explanation
The slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data in the table is,
Altitude(x) Boiling point (y)
0 212.0
500 211.1
The slope will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 211.1 - 212 ) / (500 - 0 )
Slope = -0.0018
The y-intercept will be calculated as,
y = mx + c
212 = 0 + c
c = 212
Therefore, the slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
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Will give brainliest
Answer:
PR= 8
ST=5
Step-by-step explanation:
PQ and PR are congruent so
2x=8
x=4
2*4=8
PR=8
ST and TU are congruent so
5z=2z+3
3z=3
z=1
5*1=5
ST=5
Answer:
PR=8
ST=5
Step-by-step explanation:
PR
QS=SR (marked)
a²=b²+c² (TRIANGLE PQS)
PQ²=PS²+QS²
8²=PS²+SR² (PQ=8, QS=SR)
64=PS²+SR²
a²=b²+c² (TRIANGLE PRS)
PR²=PS²+SR²
(2x)²=64
2x=8
x=4
PR=2x=2(4)=8
ST
a²=b²+c² (TRIANGLE VUT)
VT²=TU²+UV²
VT²=(2z+3)²+UV²
VT²=4z²+12z+9+UV²
a²=b²+c² (TRIANGLE VST)
VT²=VS²+ST²
VT²=VS²+25z²
4z²+12z+9+UV²=VS²+25z²
21z²-12z-9=0
7z²-4-3=0
(7z+3)(z-1)=0
z=-3/7 or z=1
cant be neg, z=1
ST=5(1)=5
can anyone give me the answer?
Answer:
169
Step-by-step explanation:
The square area is 64 and the paralellogram is 105
Add those two: 64+105=169
Use the Pythagorean Theorem to find the missing side.
Round to the nearest tenth
10 m
7.5 m
The fourth one 12.5!
It's self-explanatory, hope this helps!
