The length of a rectangle is shown below:
On a coordinate grid from negative 6 to positive 6 on the x-axis and on the y-axis, two points A and B are shown. The point A is on ordered pair 1, 2, and the point B is on ordered pair negative 2, 2. A straight line joins the points A and B.
If the area of the rectangle to be drawn is 12 square units, where should points C and D be located, if they lie vertically below the line that connects B and A, to make this rectangle? (5 points)
Group of answer choices
C(−2, −4), D(1, −4)
C(−2, −1), D(1, −1)
C(−2, −5), D(1, −5)
C(−2, −2), D(1, −2)
Answer:
b
Step-by-step explanation:
Use the following figures to find the value of x.
(any help would be appreciated)
Answer:
x=9
Step-by-step explanation:
the two sides are equivalent so set equal to each other
x-6=1/3x
3x-18=x
3x-x=18
2x=18
x=9
The U.S. Senate has 100 members. After a certain election, there were 20 more Democrats than Republicans, with no other parties represented. How many members of each party were there in the Senate?
A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time
Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
300
T(W) =
530-W
At what value of w does the graph have a vertical asymptote ? Explain what this asymptote means in this situation.
Answer:
Step-by-step explanation:
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours
What is an approximation?An approximation is anything that is similar to but not identical to something else. Rounding can be used to approximate a number.
Given that a plane is going to fly 300 miles at a planned speed of 530 mph. The equation is T(W) = ( 300 ) / ( 530 -W).
The value of approximation will be calculated as
T(W) = ( 300 ) / ( 530 -W).
T(110) = ( 300 ) / ( 530 - 110)
T(110) = (300 ) / ( 420)
T(110) = 0.714
T(100) represents that the plane flies against the wind at 110mph for 0.714 hours.
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Rendi akan membuat kartu anggota taman bacaannya berbentuk setengah lingkaran. Jika
diameternya adalah 7 cm dan banyak kartu yang akan dibuat adalah sebanyak 500 lembar
maka tentukan luas karton yang dibutuhkan.
please help me find area
Answer:
whats the quetsion
Step-by-step explanation:
ded
Solve for x. + 6 = 10 4 1 16 64
Answer: First, turn the mixed fraction 16 1/4 into a improper fraction. It would become 65/4
x+65/4=64
Next, I would multiply the entire equation by 4 to get rid of the fraction
It would become 4x+65=256
Now solve for X
4x=191
x=191/4
x=47.75
Step-by-step explanation:
ANSWER: x = 16
SOLUTION:
1) Multiply both sides of the equation by 4:
x/4 + 6 = 10 ------> x + 24 =40
2) Move the constant (+ 24) to the right-hand side and change its sign:
x = 40 - 24
3) Subtract the numbers:
x + 16 (simplified)
Find the value of y when
2x. + 6y = 1
Fast please!!!???
Find the VOLUME of the right circular cone:
26 m
10 m
make two equations for each:
exactly one solution
no solutions
infinitely many solutions
Answer:
Two equations with exactly one solution
y=x
y=-x
Two equations with no solutions
y=x
y=x+1
Two equations with infinitely many solutions
x+y+1
2x+2y=2
Step-by-step explanation:
Let's use linear equations. The slope intercept form is
y=mx+b
m is the slope and b is the y intercept.
To make the equations have one solution, the two equations must represent lines that do not have the same slope, so that they intersect. We must choose different slopes, but any y intercepts will do. Example: Choose the slopes to be 1 and -1 and choose both y intercepts to be 0
y=x
y=-x
For there to be no solutions, all we need are the same slopes and different y intercepts, so that the lines are parallel and at different heights. Let's choose the slopes to be 1 and the y intercepts to be 0 and 1.
y=x
y=x+1
To get infinitely many solutions all we need is for the lines to be parallel with the same y intercept, so that they lie on top of each other. We could use
y=x
y=x
but your teacher probably wants something different. So, lets use another form of a linear equation, the so-called standard form.
ax+by=c
if you solve this for y, you get
y=-(a/b)x+(c/b)
This is in the y=mx+b form we used before, except that now the slope is -(a/b) and the y intercept is (c/b). So, we will get the same slope if the ratio of a to b is the same for both equations and the ratio of c to b is the same for both equations. In other words, simply choose a standard form equation and then get another by multiplying through by any number. In general
ax+by=c
and
kax+kby=kc
will do the trick. Here is an example.
x+y+1
2x+2y=2
The marked price of washing machine is $500.00 and the rate of discount is 15%. Find the selling price.
Help Please! I'll rate you the best!
Answer: 96 cubes could fit
Step-by-step explanation:
4x4x3=48
48x2=96
A line with a slope of 1 passes through the point (4,0), What is is equation in
slope intercept form?
Answer:
y = x - 4
Step-by-step explanation:
Estimate if this angle is acute or obtuse.
Answer:
obtuse
Step-by-step explanation:
because they angle is over 90 degrees
What is 4 1/3 + 4 3/4 simplest form?
Answer:
109/12
Step-by-step explanation:
4 1/3 = 13/3
4 3/4 = 19/4
13/3 = 52/12
4 3/4 = 57/12
52/12 + 57/12 = 109/12
109 and 12 have no common factors
In ΔABC , angle C is a right angle.
Which statement must be true?
A.sin A = cos B
B.sin A = tan B
C.sin B = tan A
D.sin B = cos B
Answer: Choice A. sin(A) = cos(B)
============================================================
Explanation:
The rule is that sin(A) = cos(B) if and only if A+B = 90.
Note how
sin(A) = opposite/hypotenuse = BC/ABcos(B) = adjacent/hypotenuse = BC/ABSince both result in the same fraction BC/AB, this helps us see why sin(A) = cos(B). Similarly, we can find that cos(A) = sin(B).
In the diagram below, the angles A and B are complementary, meaning they add to 90 degrees. So this trick only applies to right triangles.
The side lengths can be anything you want, as long as you're dealing with a right triangle.
A plant grows the same amount every week. Which graph matches the situation described? b e .
Answer:
Option A
Step-by-step explanation:
Let the height of plant is 'b' units.
Graph representing the height of the plant will have y-intercept = b units
Since, the plant is growing at the same rate every week,
And growth of the plant is continuous.
Therefore, graph will be a straight line and continuous.
Since, the height of the plant is always increasing,
Slope of the line will be positive.
Option A will be the answer.
john is saving to buy a television that costs $1,250 john currently has $200 saved he plans to save an additional $50 per week how many weeks will it take john to have $1,250 saved
Answer:
21 weeks
Step-by-step explanation:
1250. - 200=1050
1050/50=21
21 weeks
Plz tell me the answer quick
when solving a system of equations by elimination, there are multiple correct ways you can start. which of the following is NOT a correct first step to solve this system?
(picture included)
Answer: the 2nd one
Step-by-step explanation: you didn’t multiply the -7 by 5, therefore being wrong
The height of a tree when planted is 1.1 m.
One year later, the height of the tree is 2.4 m.
Calculate the percentage
increase in the height of the tree
over the year, correct to 1 d.p.
Answer:
118.2
Step-by-step explanation:
1.1m is 100%
2.4m×100=240
240/1.1= 218.(18)
218.(18)%-100%=118.(18)=118.2
Robert has 5 pizzas at his birthday party, and each pizza is cut into 5 slices. His guest take 2 pieces from each pizza what equation would represent the amount of pizza that is left?
Answer:
15 slices of pizza are left
Step-by-step explanation:15 slices of pizza are left bc 5 pizzas with 5 slices equal 25 slices and 2 slices are taken away from each pizza, and there are 5 pizzas that is 10 slices eaten and 25-10=15. Its so easy
Two Direction raised 40% of their goal. Their
goal was $65. How much money did they raise?
Answer:
$26
Step-by-step explanation:
40% of 65 = 0.4 × 65 = 26
A machine cuts lengths of rope from a 50-m roll.
The lengths are 2.5 m long, to 1 decimal place.
What areshe minimum and maximum numbers of pieces of rope that can be
cut
Answer:
the other one or both the best of the individual and the same thing I noticed a lot to do the job in my life in my life
simplify the expression 5t + (3r+2r) + 3t +4r
$870 is invested in an account earning 2.9% interest (APR),
compounded continuously. Write a function showing the
value of the account after t years, where the annual growth
rate can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also,
determine the percentage of growth per year (APY), to the
nearest hundredth of a percent.
Answer:
Step-by-step explanation:
[tex]\text{Continuous compounding is}\\ \\ A=Pe^{rt}\\ \\ V=870e^{0.029t}\\ \\ \text{The yearly growth rate is}\\ \\ e^0.029\approx 1.0294\\ \\ \text{Which is a growth of }2.94\% [/tex]
What is the area of a circle that has a radius of 5 meters
Answer:
Step-by-step explanation:
area of circle = pi* r^2
Area = (3.14)*(5)^2
area= 78.5 m^2
Step-by-step answer:
The formula for the area of a circle is pi•r², so substitute 5 in for r.
pi•5²
Now, simplify the equation. Use PEMDAS.
There are no Parentheses, so we move on to Exponents.
pi•25
Now, we move to Multiplication.
P.S. If you are using 3.14 for pi, your answer is 78.5; otherwise, your answer is below.
78.53981634
Plzzzzz give me Brainliest!!!!!
Minimize the objective function P = 45x + 48y for the given constraints.
X20
y 20
5x + y = 16
x + 3y 26
Answer:
Following are the solution to the given equation:
Step-by-step explanation:
The graph file and correct question are defined in the attachment please find it.
According to the linear programming principle, we predict, that towards the intersections of the constraint points in the viability area, and its optimal solution exists. The sketch shows the points that are (0,16), (3,1), and (6,0).
by putting each point value into the objective function:
[tex]\to P(0,16) = 768\\\\\to P(3,1) = 183\\\\\to P(6,0) = 270[/tex]
Thus, the objective of the function is reduced with a value of 183 at (3,1).
Review the graph. On a coordinate plane, a function starts at (negative StartFraction pi Over 2 EndFraction, negative 1), has an inflection point at (0, 0), and curves up to (StartFraction pi Over 2 EndFraction, 1). What is the inverse of the trigonometric function in the graph?
Answer:
A
Step-by-step explanation:
A boy 1.5 m tall is standing 12 m away from a church building which has a tower on top of its roof. The top of the cross on the tower is 14.6 m away from the boy’s head (eyes). If the boy has to raise his eyes through an angle of 31° in order to see the top of the roof, calculate,Correct to the nearest degree, the angle through which the boy must raise his eyes to see the top of the cross on the tower.
Correct to one decimal place, the height of the top of the cross from ground.
Correct to one decimal place the height of the church building.
Answer:
1. [tex]35^{o}[/tex]
2. 9.8 m
3. 8.7 m.
Step-by-step explanation:
1. Let the angle be represented by θ, so that:
Cos θ = [tex]\frac{adjacent}{hypotenuse}[/tex]
= [tex]\frac{12}{14.6}[/tex]
Cos θ = 0.82192
θ = [tex]Cos^{-1}[/tex] 0.8219
= [tex]34.73^{o}[/tex]
θ = [tex]35^{o}[/tex]
The angle through which the boy must raise his eyes to see the top of the cross on the tower is [tex]35^{o}[/tex].
2. Let the height from the boy's head to the top of the cross be represented by y, so that:
Sin [tex]34.73^{o}[/tex] = [tex]\frac{y}{14.6}[/tex]
y = Sin [tex]34.73^{o}[/tex] x 14.6
= 0.5697 x 14.6
y = 8.32 m
The height of the top of the cross from the ground = 1.5 + 8.32
= 9.82 m
The height of the top of the cross from the ground is 9.8 m.
3. Let the height from the boy's head to the top of the building be represented by x, so that:
Tan 31 = [tex]\frac{opposite}{adjacent}[/tex]
= [tex]\frac{x}{12}[/tex]
x = Tan 31 x 12
= 0.6009 x 12
x = 7.21
The height of the church building = 1.5 + 7.21
= 8.71
The height of the church building is 8.7 m.
The sketch to the question is attached to this answer.