Answer:
3≤x≤6
Step-by-step explanation:
2≤3x-7≤11
2+7≤3x-7+7≤11+7
9≤3x≤18
9÷3≤3x÷3≤18÷3
3≤x≤6
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
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ2
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
1. Sen 495° debo o sea evaluarlas las funciones trigonométricas para ángulos que no se encuentra en círculos unitarios y me pide explicar y desmontar
Answer:
which language is this???
A radioactive substance decays at a rate of 3.4% per day. If it starts at 200 grams, how
many days will it take for the substance to decay to less than 150 grams?
Answer: 9
Step-by-step explanation:
Since the percent is decaying, you subtract 3.4 from 100, which gets you 96.6
200(0.966)^9 gets you 146.5 which is less than 150
2) Simplify: 2a + 3b - 4a + 5c - 2b
Answer:
-2a+b+5c
Step-by-step explanation:
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
Find the equation of a line which has:
slope of -2 and
crosses the y-axis at 5
in slope-intercept form
Answer:
y = -2x + 5
Step-by-step explanation:
Recall that slope-intercept form is y = mx + b where m is the slope and b is the y intercept
In this case our slope is m = -2
and, line crosses y-axis at 5 which is b = 5
thus, y = -2x + 5
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.
Selena earned $4,283.30 last month. She used of her earnings to pay her bills. With the remaining money, she
bought two shirts for $19.99 each and a pair of sunglasses for $12.99. How much money does Selena have left from last
month's earnings?
Answer:
$4,256.31
Step-by-step explanation:
4,283.30 - 2(19.99) + 12.99 = x
Initial value (last month's earnings) - the two shirts, which were both 19.99 and the pair of sunglasses, which were 12.99.
4256.31 = x
Which is Q=200p/L solved for p
Answer:
P = QL/200
Step-by-step explanation:
Evaluate m + 7.5 when m = 8.6
Answer:
16.1
Step-by-step explanation:
-7/8+(-1/8)=
-1. 4/9+(-2. 2/3)=
-1. 2/3+(-2. 1/3)=
Пожалуйста помогите 20 балов!!!!
I am going to pay $44 for a pack of awesome color pencils. The tax is 6%. How much is the taxes going to be?
Answer:
2.64 sales tax
Step-by-step explanation:
hope i helped you
If there are two boys to every three girls, what percent of the class is girls?
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
Learn more about Nutrition:
https://brainly.com/question/26750988
#SPJ2
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
10 over=5
i asked this quetion
Answer:50
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.
Give the system of inequalities x-2y=15. 2x+4y=-18 what are x and y
Answer:
For x-2y=15, it's x= 15 + 2y. For 2x+4y=-18, it's x= -9-2y.
Step-by-step explanation:
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:
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)
2. Find the missing variable
(2x + 5)
(x + 9)
(3x - 2)
Find the number that makes the ratio equivalent to 11:1.
?:4
Answer:
The unknown is 44
Step-by-step explanation:
We need to solve for x in the proportion given by :
11 / 1 = x / 4
multiply both sides by 4 to isolate x
11 * 4 / 1 = x
x = 44
A poker hand consists of 5 cards. If the cards have distinct consecutive values and are not all of the same suit, we say that the hand is a straight. For instance, a hand consisting of the five of spades, six of spades, seven of spades, eight of spades, and nine of hearts is a straight. What is the probability that one is dealt a straight
Answer:
The answer is blah blah blah blah
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
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
!!!ANSWER IMEDDIATELY!!! What is the area of this trapezoid?
Answer:
A
Step-by-step explanation:
I worked it out :)
Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the exact same notebook. Isabella also wanted a notebook. She bought one of the same notebooks that Lillian bought. Both girls started shopping with the same amount of money. If Lillian spent all of her money and Isabella had $5 left, how much money did each girl have when she arrived at the store? please show your work/steps
Answer:
Each girl had $7.50 when they arrived.
Step-by-step explanation:
We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.
3x = x + 5
First, subtract x from both sides. This cancels out the addition by x.
3x - x = 5
Now, subtract x from 3x. This equals 2x.
2x = 5
To cancel out the multiplication by 2, divide both sides by 2.
x = 5/2
Lastly, divide 5 by 2 to get 2.5.
x = 2.5
Substitute x for 2.5 in the earlier equation (3x = x + 5)
3(2.5) = 2.5 + 5
First, multiply 3 by 2.5 to get 7.5.
7.5 = 2.5 + 5
Add 2.5 to 5 to get 7.5.
7.5 = 7.5
Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.
14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24
9514 1404 393
Answer:
C. 12
Step-by-step explanation:
g(f(6)) = g(6 -3) = g(3) = 4(3)
g(f(6)) = 12
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! ;)
Do the indicated operation: Express your answers in the lowest terms
x/2+x/5
Answer:
7x/10
Step-by-step explanation:
