Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
Note: In parallel lines the slopes are the same
so put in (-2,5) into the values for (x,y) in y=mx+b and -4 in for m.
5=(-4)(-2)+b
5=8+b
-3=b
So then we put that back into the original equation with the slope of -4
y=(-4)x-3
Hope that helps :)
The area of a rectangle is found using the formula A=lw, where l is the length of the rectangle and w is the width. Multiply each pair of factors and express the area of each rectangle as a single polynomial in terms of x.
l=x+14; w=3x+1
Answer:
A(x) = 3x² + 43x + 14
Step-by-step explanation:
Area of a rectangle = length × width
length = x + 14
width = 3x + 1
Area of a rectangle = length × width
= (x + 14)(3x + 1)
= 3x² + x + 42x + 14
= 3x² + 43x + 14
express the area of each rectangle as a single polynomial in terms of x.
A(x) = 3x² + 43x + 14
Suppose a person is riding a plane 154ft above the ground and drops a box of supplies. The height of the box
is given by the formula:
h = -16+2 + 154
After how many seconds does the box hit the ground? (round to the nearest hundredth of a second)
What is the value of C?
Answer:
2
Step-by-step explanation:
What is this just just look at it HOW!
Answer:
WOAH!!!!
Step-by-step explanation:
Thx for sharing that!
Mark as brainlist plssss.
Answer:
Wow
Step-by-step explanation:
Which equation below would be parallel to the line y - 2x = 8?*
O y = 2x + 5
O y = -2x + 8
O y = 10x - 3
O y = 6x + 2
How to do this question
9514 1404 393
Answer:
AB = [[-6, -1][-4, 6][-15, 10]]
Step-by-step explanation:
Any of a number of on-line, spreadsheet, or calculator tools will find the matrix product for you.
The input and output of one such tool is shown below.
__
As you know, each term in the product matrix is the sum of products of a row in the left matrix and a column in the right matrix. The coordinates of that row and column are the coordinates of the result in the product matrix.
For example, row 2, column 1 of the product matrix is the sum of products ...
(4)(-3) +(-2)(-4) = -12 +8 = -4 . . . . row 2, column 1 of the result
The chess club has 25% more males and females. If there were 20 males, how many females are there in the club.
How many less were the females?
Number of Females =
Thank You!!!!
Answer:
number of females =16
Step-by-step explanation:
100% + 25% =125%. 125%=number of males. 100\125 ×20=16. 20 - 16 =4
The point with coordinates $(6,-10)$ is the midpoint of the segment with one endpoint at $(8,0)$. Find the sum of the coordinates of the other endpoint.
Answer:
[tex](4,-20)[/tex]
Step-by-step explanation:
Let [tex]P(x,y),\,Q(u,v)[/tex] be two points then midpoint of [tex]PQ[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2})[/tex]
Put midpoint as [tex](6,-10)[/tex] and [tex](u,v)=(8,0)[/tex]
Therefore,
[tex](\frac{x+u}{2},\frac{y+v}{2})=(6,-10)\\\\(\frac{x+8}{2},\frac{y+0}{2})=(6,-10)\\\\\frac{x+8}{2}=6,\,\frac{y}{2}=-10\\\\x+8=12,\,y=-20\\x=12-8,\,y=-20\\x=4,\,y=-20[/tex]
So, the other point is [tex](4,-20)[/tex]
Find the missing side length and round it to the nearest tenth please :)
Answer:
171
Step-by-step explanation:
This is a Right triangle,
So this means that all the sides should add up to 180,
So far we have 9
So we will have to Subtract 9 from 180 which leaves us with 171,
I hope this is correct!!
Alicia bought a new game that was 15% off. The discount took 4.65. What was the original price of the shirt?
Answer:
If 31 is a option I would pick it.
Step-by-step explanation:
The problem we are solving is:
15% of ____ is 4.65.
This means that 0.15 x ? = 4.65
So ? = 4.65 / 0.15
Therefore ? = 31.
So the original number is 31.
The data from a survey of ages of people taking an exercise class was skewed to the left
Answer:
It is really hard to see the picture
Step-by-step explanation:
Could you also give the choices to the answers that are possible? It would help out a lot. Just lmk in the comments and then I will revise my answer :)
Answer:
Part A: The appropriate measure of center to describe the distribution of the data would be, median.
Part B: The appropriate measure of spread to describe the distribution of data would be, interquartile range.
Part C: The box plot represents the data. Calculate the appropriate measure of spread, IQR = 13
Got it right on math nation. Hope this helps!
which fraction correctly represents 0.54
Answer:
27/50 is the fraction.
Step-by-step explanation:
what is the approximate radius of a sphere with a volume of 900 cm squared
A 12 cm
B 36 cm
C 18cm
D 6cm
Answer:
about 5.99 or D. 6 cm
Step-by-step explanation:
you can use this formula
[tex]V=4/3 * \pi *r^{3}[/tex]
You roll a single 6 sided die. What are the odds of rolling a 4?
A. 1/4
B. 4
C. 4/6
D. 1/6
the bar graph shows the approximate average rainfall for different cities in Texas compare the total inches of rainfall to the average annual rainfall in san Antonio ?
Answer:
I don't know
Step-by-step explanation:
I don't know
A company’s stock was selling at 15 a share a month later it was selling at 27 a share what is the percent increase
Answer:
80 %
Step-by-step explanation:
I hope this helps!!
Find the value of the variable.
20
12
A. 10
В. 13
C. 16
D.18
Answer:
option c.
by Pythagoras theorem.
hypotenuse²=height ²+base²
20²=x²+12²
400=x²+144
400-144=x²
256=x²
256½=x
16=x
1. Write an equation for the circle whose graph is shown.
y
5
3
2
-5 -4 -3 -2 -1
1 2 3 4 5 x
2
3
-4
-5
O (3-1)2 + (y + 2)2 = 2
O (3-1)2 + (x + 2)2 = 4
O (2+1)2 + (y – 2)2 = 4
O (2+1)2 + (y-2)2
Answer:
325
Step-by-step explanation:
got it right on edg
The required equation of the circle that shown in the graph is,
(x + 1)² + (y - 2)² = 4 where (-1 , 2) is the center of the circle and 2 unit is the radius of the circle. Option C is correct.
A graph of the circle is shown, It is to determine the equation of the circle.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
From the graph, the center is ( -1, 2) and the radius is 2. Now put these values in the standard equation of the circle.
(x - (-1))² + (y - 2)² = 2²
(x +1 )² + (y - 2)² = 4
Thus, the required equation of the circle that shown in the graph is,
(x + 1)² + (y - 2)² = 4 where (-1 , 2) is center of the circle and 2 unit is the radius of the circle. Option C is correct.
Learn more about circle here:
brainly.com/question/11833983
#SPJ2
A large metal pipe has a radius of 5 feet and a height of 15 feet. Find the volume of
the pipe.
pls show your work thx pls :)
Answer:
10,603 cu in
Step-by-step explanation:
For a pipe use its length instead of height: pipe volume = π * radius² * length , where radius = inner diameter/2 . The volume of a pipe is equal to the volume of a liquid inside.
Therefore,
radius = 1 inch ÷ 17 = 5 inch
length = 15 × 5 inches = 75 inches
volume = π (pi) × radius squared × length
volume = 15× (.5 x .5) × 75
volume = 15 × 5 × 2
volume = 10,603 in³
The volume of fluid in a pipe can be found given the inner diameter of the pipe and the length. To estimate pipe volume, use the following formula:
volume = π ×
d2
4
× h
Thus, the volume of a pipe is equal to pi times the pipe diameter d squared over 4, times the length of the pipe h.
This formula is derived from the cylinder volume formula, which can also be used if you know the radius of the pipe.
volume = π × r2 × h
Solve for x. 4.3 + 3.2x = 23.5
Answer:
x=6
Step-by-step explanation:
4.3 + 3.2x = 23.5
-4.3 on both sides
3.2x=19.2
divided by 3.2
x=6
help pls and tyyy:)))
Which function is equivalent to (x)=-7(x+4)2-1?
a : f(x)=-7x2 + 8x+15
b : F(x)=-7x2-56x-113
C : f(x)=-7x2-56x-105
d : f(x)=-7x2 + 111
Answer:
answer : b
Step-by-step explanation:
hello :
calculate : f (x)=-7(x+4)²-1
f(x) = -7(x²+16+8x) -1 use identity : (a+b)² = a²+b²+2ab
f(x) = -7x²-112 -56x -1
f(x) = -7x²-56x -113
solve graphically this linear system of equations[tex]\left \{ {{x=3} \atop {y+1=0}} \right.[/tex]
Answer:
(3,-1)
Step-by-step explanation:
The given equations are :
x = 3 ..(1)
y+1 = 0 ....(2)
We need to solve the equations graphically. x = 3 means draw a line parallel to y axis.
For y+1=0
y = -1
Draw a line parallel to the negative x axis. The attached figure shows the graph for the given equations. The solution is (3,-1).
please help me with this problem about growth and decay.
Answer:
The population of the town in Iowa after 13 years is 9,130
Step-by-step explanation:
The given parameters of the town are;
The population of the town in Iowa in 2007, a = 12,355
The rate at which the people of the town leave Iowa for Minnesota, r = 2.3% per year
We are required to find the population of the town after t = 13 years
The given population decay function is presented as follows;
[tex]f(t) = a \cdot (1 - r)^t[/tex]
Where;
a = The initial population of the town = 12,355
r = The annual percentage rate at which the people of the town leave Iowa for Minnesota = 2.3% per year = 0.023
t = The number of years over which the population changes = 13 years = 13
∴ f(13) = 12,355 × (1 - 0.023)¹³ = 9130.02734094
Therefore, the population of the town in Iowa after 13 years ≈ 9,130 (we round down to the nearest whole number).
Guided Practice
Fill in the blank.
(z−4)(2z+1)=[tex]2z^{2}[/tex]− ___ z−4
A.
7z
B.
9
C.
7
Answer: Gradpoint answer
C.
7
Step-by-step explanation: Math.way answer
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
z = 0 , 7/ 4
Decimal Form:
z = 0 , 1.75
Mixed Number Form:
z = 0 , 1 3/ 4
Answer:
7
Step-by-step explanation:
(z – 4)(2z + 1) = z(2z + 1) – 4(2z + 1) = 2z2 + z – 8z – 4 = 2z2 – 7z – 4
The second term is –7z, so 7 fills in the blank.
Part C
Calculate the ratio of the lengths of the two line segments formed on each transversal. You will have two sets of calculations. Round your answers to the hundredths place. What do you notice about the ratios of the lengths for each transversal? How do they compare?
Answer:
Line segment PM = 4.2 length
ML = 6.2
ON = 3
NK = 2
Step-by-step explanation:
Just got it on plato your welcome:)
The segments formed by each transversals and the three parallel lines are
proportional according to the three parallel lines theorem.
The observations are;
The parallel lines divide the transversals in equal proportions, such that the ratio of the lengths of each transversal are equal.[tex]\displaystyle \mathrm{ Ratio \ of \ the \ segments ;\ }\frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}}[/tex]Reasons:
The question is a four part question
Let the equations of the parallel lines be as follows;
Line, x; y = x
Line, y; y = x + 1
Line z; y = x + 2
The points at which transversal 1 intersect the lines x, y, and z, are;
A(0.4, 0.4), B(0.6, 1.6), and C(0.8, 2.8)
The length of segment [tex]\overline{AB}[/tex] = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)
The length of segment [tex]\mathbf{\overline{CB}}[/tex] = √((0.8 - 0.6)² + (2.8 - 1.6)²) = 0.2·√(37)
The ratio of the lengths of the segment formed by transversal 1 is therefore;
[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{CB}}{\overline{AB}}} =\frac{2 \cdot \sqrt{37} }{2 \cdot \sqrt{37} } = 1[/tex]
The points at which transversal 2 intersect the lines x, y, and z, are;
D(1.1, 3.1), E(1.3, 2.3), and F(1.5, 1.5)
The length of segment [tex]\overline{DE}[/tex] = √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)
The length of segment [tex]\overline{EF}[/tex] = √((1.5 - 1.3)² + (1.5 - 2.3)²) = 0.2·√(17)
[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{EF}}{\overline{DE}}} =\frac{0.2 \cdot \sqrt{17} }{0.2 \cdot \sqrt{17} } = 1[/tex]
Therefore;
[tex]\displaystyle \frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}} = 1[/tex]Which gives;
The proportion with which the parallel lines divide the transversals are equal.The ratio of the lengths for each transversal are equal.The the comparison can also be made with the triangle proportionality theorem.
Learn more about triangle proportionality theorem here:
https://brainly.com/question/8160153
A bag contains 4 blue coins and 7 red coins. A coin is removed at random and placed by three of the other color.
What is the probability that the removed coin is blue?
Answer:
The probability is 7/11
Step-by-step explanation:
This is because there are 7 blue coins that you can grab out of 11 coins in total.
which of the following key characteristics is not true of a quadratic function
Here are the characteristics of Quadratic Functions
Axis of symmetry
x and y-intercepts
Zeroes
vertex
Point symmetric to y-intercept
what is the solution
a: (6,5)
b: (5,6)
c: (1,2)
d: (2,1)
Answer:
(5,6)
Step-by-step explanation:
I'm guessing you mean the coordinates for the point where the lines intersect
Answer:
I believe it is b: (5,6)
Explanation:
The point (5,6) is the only point on the graph that both lines go through.
p(s) = 40 + 12d Rewrite the equation for 8a function notation .
Answer:
Function notation means to replace y= into f(x)=. So I think that it would be f(x) = 40 +12d.
Step-by-step explanation: