Answer:
[tex]\huge\boxed{y-27=8(x-3)}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (3, 27) and (-8, -61).
Calculate the slope m:
[tex]m=\dfrac{-61-27}{-8-3}=\dfrac{-88}{-11}=8[/tex]
Susbtitute to the equation of a line:
[tex]y-27=8(x-3)[/tex]
The expression (1/23) ^1000 is closest to what integer?
HELP QUICK PLS
Answer:
The expression is close to 0Step-by-step explanation:
Given the expression [tex](\frac{1}{23} )^{1000} \\[/tex], for us to know the closest integer, the following step must be carried out;
[tex](\frac{1}{23} )^{1000} \\=\frac{1^{1000} }{23^{1000} } \\= \frac{1}{23^{1000}} \\= \frac{1}{5.34 * 10^{1361} }} \\= 1.87*10^{-1362}[/tex]
The value gotten is a very small value which is close to 0
what is the method and answer for brainliest
Equal steps mean each number is the same distance from the previous one
From -2 to 28 is 28 units
There are 4 spaces between the numbers
28/4 = 7
Each number is in increase of 7
-2 + 7 = 5
5+7 = 12
12+7 = 19
19+7 = 26
The third number would be 12
Solve each system by the addition method.
x + 2y = -1
5x - 4y = 16
Put your answer in ordered pair (x, y) DECIMAL form.
Answer:
(x, y) = (2, -1.5)
Step-by-step explanation:
x + 2y = -1
5x - 4y = 16
<=>
(2)x + (2)2y = (2)(-1)
5x - 4y = 16
<=>
2x + 4y = -2
5x - 4y = 16
<=>
7x = 14
<=>
x = 2
(*)x + 2y = -1
=> 2 + 2y = -1
=> 2y = -3
=> y = -1.5
=> (x, y) = (2, -1.5)
A basketball player's total points scored for the season went from 158 to 231 over a period of 5 games. What was his scoring rate per game over those 5 games?
Answer:
14.6
Step-by-step explanation:
(231 - 158) / 5 = 14.6
You own a comic book store. When you order comic books for your store to sell, you get 18 comic books per bundle. How many comic books would you have to sell if you ordered 7 bundles?
Answer:
the answer is 126
Step-by-step explanation:
beacuse if you sell 7 bundles for every one you get 18 so 18+18+18+18+18+18+18=126
Answer:
126 books
Step-by-step explanation:
There are 18 books per bundle and 7 bundles
So you would multiply 7 with 18 and get your answer of 126 books to sell
What is the result of substituting for y in the bottom equation?
y = x + 3
y= x2 + 2x-4
A. x+ 3 = x2 + 2x - 4
B. X+ 3 = x2
C. y= (x+3)2 + 2(x + 3) - 4
D. y= x2 + 2x - 4 - (x+3)
Answer:
(A)[tex]x + 3= x^2 + 2x-4[/tex]
Step-by-step explanation:
Given the equations:
[tex]y = x + 3\\y= x^2 + 2x-4[/tex]
Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.
Substitution of y into [tex]y=x^2 + 2x-4[/tex] gives us:
[tex]x + 3= x^2 + 2x-4[/tex]
The correct option is A.
Find the volume of the cylinder
Answer:
see below
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
We know the radius is 9 and the height is 20
V = pi ( 9)^2 ( 20)
V = 1620 pi
If we approximate pi by 3.14
V =5086.80 cm^3
If we approximate pi by pi button
V =5089.3800099 cm^3
Answer:
V=5089.380099cm^3
Step-by-step explanation:
V=πr^2h
V=π(9)^2(20)
V=π(9)^2(20)
V=5089.380099cm^3
what is the solution to this equation x/5=30
Answer:
x= 150
Step-by-step explanation:
X/5 = 30
x = 5×30
x= 150
Answer:
150
Step-by-step explanation:
[tex]\frac{x}{5}[/tex] = 30
→ Multiply both sides by 5 to isolate x
x = 150
Write as an expression: Twice the product of the squares of x and y Thanks! -Jamie
Answer: [tex]2(xy )^{2}[/tex] the same thing as 2([tex]x^{2} y^{2}[/tex])
Step-by-step explanation:
You multiply 2 by x times y squared.
What is the approximate distance between points A and B? A coordinate grid is shown from negative 5 to 0 to 5 on both axes at increments of 1. The ordered pair 4, 3 is labeled as A, and the ordered pair negative 2, negative 4 is labeled as B 3.61 9.22 10.35 12.62
Answer:
[tex]\large \boxed{9.22}[/tex]
Step-by-step explanation:
The formula for the distance between two points is
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
x₂ - x₁ = 4 - (-2) = 9
y₂ - y₁ = 3 - (-4) = 7
The formula, in effect, creates a right triangle, so we can use the Pythagorean theorem to calculate the distance.
[tex]\begin{array}{rcl}AB & = & \sqrt{6^{2} + 7^{2}}\\& = & \sqrt{36 + 49}\\& = & \sqrt{85}\\& \approx & \mathbf{9.220} \end{array}\\\text{The approximate distance between the points is $\large \boxed{\mathbf{9.220}}$}[/tex]
The approximate distance between points A and B will be equal to 9.220.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. The length of the line segment between two places represents their distance.
Most notably, segments that have the same length are referred to as congruent segments and the distance between two places is always positive.
The formula for the distance between two points is,
[tex]D =\sqrt{(x_2-x_1)+y_2-y_1)^2[/tex]
x₂ - x₁ = 4 - (-2) = 9
y₂ - y₁ = 3 - (-4) = 7
The formula, in effect, creates a right triangle, so we can use the Pythagorean theorem to calculate the distance.
AB = √( 6² + 7² )
= √ ( 36 + 49 )
= √85
= 9.22
Therefore, the approximate distance between points A and B will be equal to 9.220.
To know more about Coordinate geometry follow
brainly.com/question/18269861
#SPJ2
The temperatures of Charleston, South Carolina on May 3rd are recorded in the table below. Determine the equation that models this data.
Answer:
Ok, the first step to see the behavior of this data is doing a graph of it,
So we can see that it looks like an reversed V. (at the bottom of the answer you can see the graph)
Then, we can model this with a piecewise function like:
For the first part we can take the two pairs:
if 11 am is our t = 0h
(0, 85) and (6, 93)
then the linear equation
y = a*t + b
a = (93 - 85)/(6 -0) = 8/6.
and b = 85.
then the linear equation is:
y = (8/6)*t + 85. for 0h ≤ t ≤ 6h
The second part of this equation can be modeled with the points
(6, 93) and (11, 84)
then we have:
y = s*t + c
s = (84 - 93)/(11 - 6) = -7/5
and we can find the value of c as:
93 = (-7/5)*6 + c
93 + (7/5)*6 = 101.4
then this second part is:
y = (-7/5)*t + 101.4 for 6 ≤ t ≤ 11h
then, in conclusion we have:
y = (8/6)*t + 85. for 0h ≤ t ≤ 6h
f(x) =
y = (-7/5)*t + 101.4 for 6 ≤ t ≤ 11h
Answer:
y=7.496sin(0.3243x+0.315)+73.489
Step-by-step explanation:
simply put the data into a graph and graph each equation to see if its matched
2 Points
What is the measure of ZE, in degrees?
Answer:
B. 84 deg
Step-by-step explanation:
Sides DE and FE are congruent since they both have the same length.
That makes angles D and F congruent.
m<D = m<F = 48
The sum of the measures of the angles of a triangle equals 180 deg.
m<E + m<D + m<F = 180
m<E + 48 + 48 = 180
m<E = 84
Melinda sold packages of gourmet coffee, x, and pastries, y, at a school fundraiser. The packages of coffee sold for $6 each and pastries sold for $4 each. At the end of the fundraiser, she had sold 2 more packages of coffee than pastries and made $72 in total sales for the fundraiser. Create and graph system of linear equations that model this situation.
Answer:
Please find the attached graph
Melinda sold 8 packages of coffee and 6 packages of pastries
Step-by-step explanation:
The parameters given are;
Number of Packages of coffee = x
Number of Packages of pastries = y
Price of each package of coffee = $6
Price of each package of coffee = $4
Number of packages of packages of coffee sold = 2 more than packages of packages pastries sold
x = 2 + y
y = x - 2................(1)
Sum of money made in the fundraiser = $72
∴ x × $6 + y × $4 = $72
y = ($72 - x × $6)/$4 = 18 - 3/2·x
y = 18 - 3/2·x.........(2)
The solution is
x - 2 = 18 - 3/2·x
x + 3/2 = 18 + 2 = 20
5/2·x = 20
x = 2/5×20 = 8
y = x - 2 = 8 - 2 = 6
This is the answer from plato/edmentum.
Jon recently drove to visit his parents who live 528 miles away. On his way there his average speed was 14 miles per hour faster than on his way home (he ran into some bad weather). If Jon spent a total of 22 hours driving, find the two rates.
Answer:
speed while going = 42, while returning home = 28
Step-by-step explanation:
let his speed on the way to his parents house is (x)
then his speed while returning is x - 14
Time = Distance / speed
528 / x + 528 / x -14 = 22
multiplying the denominator ...
528x + 528x +7392 = 22x^2 +14x
1056x + 7392 = 22x^2 + 308x
0 = 22x^2 -748x -7392
"dividing by 22"
0 = x^2 -34x-336
0 = (x+8) (x-42)
x must be 42
finally jon's speed while back home is 42 - 14 = 28
What is true about the domain and range of the function?
The graph of the function f(x) = (x +2)(x + 6) is shown
below.
у
6
The domain is all real numbers, and the range is all
real numbers greater than or equal to 4.
O The domain is all real numbers greater than or equal to
4, and the range is all real numbers.
O The domain is all real numbers such that -65x3-2,
and the range is all real numbers greater than or equal
to-4.
The domain is all real numbers greater than or equal to
4, and the range is all real numbers such that -63x3
-2.
4
N
-6 -4 +2
4
6
х
N
-2-
-4
6t
Answer:
The correct option is;
The domain is all real numbers and the range is all real numbers greater than or equal to -4
Step-by-step explanation:
A function defines an output given an input and the set of all the possible inputs to a function is the domain of a function such that there is an output, such that the domain is the set of x values which are points on the curve of the function
The set of outputs that are produced from a given input is the range of a function
The given function is f(x) = (x + 2)(x + 6)
From the curve we see that the minimum y-coordinate, f(x), value is at -4, which is the lower bound of the range, while the x-coordinate values, the domain can be seen extending past the graph sheet which from the expression for the function also (f(x) = (x + 2)(x + 6)) indicates that the x values is the set of all real numbers (on the number line)
Therefore, the correct option is;
The domain is all real numbers and the range is all real numbers greater than or equal to -4.
Answer:
The domain is all real numbers and the range is all real numbers greater than or equal to -4
Step-by-step explanation:
Select the correct answer from each drop-down menu. Polygon ABCDE rotates 45° clockwise about point F to form polygon FGHIJ, shown in the figure. Find the measure of each angle of polygon ABCDE. m∠ABC = ° m∠BCD = ° m∠DEA = ° m∠CDE = °
Answer and Step-by-step explanation:
As it is mentoned in the question
Polygon ABCDE rotates around point F in clockwise direction to create polygon FGHIJ
And as we can see in the figure that
So we conclude that
A = F ⇒ 117°
B = G ⇒ 90°
C = H ⇒ 127°
D = I ⇒ 90°
E = J ⇒ 117°
Therefore this is the answer and the same is to be considered
Answer:
m∠ABC = 90117127°m∠BCD = 90117127°m∠DEA = 90117127°m∠CDE = 90117127°
Step-by-step explanation:
Divide a24 − a18 + a12 by a6. What is the quotient? A. a4 − a3 + a2 B. a18 − a12 + a6 C. a18 + a12 − a6 D. a30 − a24 + a18
Answer:
A
Step-by-step explanation:
NEED HELP ASAP!! RESPOND AS QUICK AS POSSIBLE!!!
Answer:
d
Step-by-step explanation:
Given: In ΔBLU, LE ⟂ BU , and BL ≅ UL Prove: ΔBEL ≅ ΔUEL STATEMENT REASON 1. LE⟂ BU and BL ≅ UL 1. Given 2. LE ≅ LE 2. Reflexive Property 3. ΔBEL ≅ ΔUEL 3. _______________ Which of the following choices will complete the reasoning for statement #3? A SSA B AAA C HL D None of these choices are correct.
Answer:
I think it is C
Step-by-step explanation:
Find the median, divide it by 3 20, 82, 39, 23, 20, 60, 64.
Answer:
by using formula of median you can do it.
Answer:
put the numbers in order
20,20,23,39,60,64,82
Find the number in the middle
39 is in the middle because there is 3 numbers on each side so it is the median.
Divide by 3.
39 / 3 = 13
Hope this helps
Step-by-step explanation:
Trey is running for president of the chess club, and he received 8 votes. There are 80 members in the club. What percentage of the club members voted for Trey?
Answer:10
Step-by-step explanation:
8/80=1/10*100=10
The equation of a circle is given below. ( x + 8 3 ) 2 + y 2 = 1 (x+ 3 8 ) 2 +y 2 =1left parenthesis, x, plus, start fraction, 8, divided by, 3, end fraction, right parenthesis, squared, plus, y, squared, equals, 1 What is its center? ( (left parenthesis , ,comma ) )right parenthesis What is its radius? If necessary, round your answer to two decimal places. units
Answer:
The center is (-8/3,0) and the radius is 1
Step-by-step explanation:
(x+8/3)^2 + y^2 = 1
We know the equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Rewriting
(x- -8/3)^2 + (y-0)^2 = 1^2
The center is (-8/3,0) and the radius is 1
Find the surface area of the prism.
Help please
Answer:
256 in ^2
Step-by-step explanation:
The area of the base B = 12*5 = 60 in ^2
The height is 14 inches
The perimeter of the base is
2 ( l+w) =2 ( 12+5) = 2 ( 17) = 34
The surface area is = 2B + Ph = 2 * 60 + 34*4
= 120 + 136
=256
The numbers -1/5 and -5 are 'negative reciprocals.' True or False?
Answer:
False
Step-by-step explanation:
The negative reciprocal of -1/5 would be 5, and the negative reciprocal of -5 is 1/5. A way to double-check is all negative reciprocals add to -1.
-1/5 + -5= -5 1/5
Hope this helps and you understand negative reciprocals more for future problems ahead.
Hi can any one please help me I really need help please help me I need help
Answer:
1(a)1,030,000+0.13x
(b)$1,030,026
2. (a)Base and Index
(b)See Explanation
Ste-by-Step Explanation
(a)Total Amount to be paid to the four actors
=500,000+(300,000+0.02x)+(150,000+0.03x)+(80,000+0.08x)
Collect like terms
=500,000+300,000+150,000+80,000+0.02x+0.03x+0.08x
[tex]\text{Total Amount Paid= }1,030,000+0.13x[/tex]
(b)When x=200
[tex]\text{Total Amount Paid= }1,030,000+0.13(200)\\=1,030,000+26\\=$1,030,026[/tex]
Question 2
(a)The two parts of a power are the base and index.
Take, for example, the expression: [tex]a^b\\[/tex]
[tex]a$ is the base\\b is the index[/tex]
Another example using numbers is: [tex]10^3[/tex]
In this case:
[tex]10$ is the base\\3 is the index[/tex]
(b)Like terms are terms that have the same letter/variable attached to them.
For example, the following pairs are like terms
8x and 3x4y and -9y6pq and pq3 and 3These, however, are not like terms
3 and 3y4x and 4yFind the point-slope equation for the line that passes through the points (-8,-32) and (3,1). Use the first point in your equation.
Hey there! :)
Answer:
y + 32 = 3(x + 8)
Step-by-step explanation:
Begin by finding the slope of the line using the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Plug in the coordinates of the points into the equation:
[tex]m = \frac{1 - (-32)}{3 - (-8)}[/tex]
Simplify:
[tex]m = \frac{33}{11}[/tex]
m = 3.
Point-slope form is:
y-y₁=m(x-x₁)
Plug in the coordinates of the first point, as well as the slope:
y - (-32) = 3(x - (-8)
y + 32 = 3(x + 8)
Answer: y+32=3(x+8)
Step-by-step explanation:
First you need to find the slope.The slope is the change in y divided by the change in x values.
-32 - 1 = -33
-8 - 3 = -11
-33/-11 = 3 the slope is 3
and in point-slope form is like y-b= m(x-a) where b is a y coordinate and a is the x coordinate.
it could be like y-1=3(x-3) or y+32= 3(x+8)
Choose the graph represents the function y-3=3/2(x-4)?
Hope this helps have a nice day! :)
John is filling a bathtub that is 12 inches deep. He notices that it takes two minutes to fill the tub with three inches of water. He estimates it will take 10 more minutes for the water to reach the top of the tub if it continues at the same rate. Is he correct?
Answer:
No
Step-by-step explanation:
2 = 3 inches
2x5=10
10 = 3x5 of 15 inches
so no and it would take 8 minutes to fill up the tub
Write the equation of the line that passes through (1,5) and (-2, 14) in slope-intercept form
Answer:
y = -3x + 8
Step-by-step explanation:
(1, 5) ; (-2, 14)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{14-5}{-2-1}\\\\=\frac{9}{-3}\\\\=-3[/tex]
m = -3 ; (1 , 5)
Equation: [tex]y-y_{1}=m(x-x_{1})[/tex]
y - 5 = (-3)(x - 1)
y - 5 = -3x + 3
y = -3x + 3 + 5
y = -3x + 8
Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply 3 = 5(x2 + 2x) 3 = 5x2 – 10x 4 = 5(x2 – 2x + 1) 8 = 5(x2 – 2x + 1) 3 = 5(x – 1)2 4 = 5(x – 1)2 StartFraction 8 Over 5 EndFraction = (x – 1)2
Answer:
1. 3 = 5x2 – 10x
2. 8 = 5(x2 – 2x + 1)
3. StartFraction 8 Over 5 EndFraction = (x – 1)2
Step-by-step explanation:
3-4x=5x^2-14x
3=5x^2-14x+4x
3=5x^2-10x
5x^2-10x-3=0
1. 3 = 5x2 – 10x
2. 8 = 5(x2 – 2x + 1)
8=5x^2-10x+5
8-5=5x^2-10x
3=5x^2-10x
3. StartFraction 8 Over 5 EndFraction = (x – 1)2
8/5=x^2-2x+1
Cross product
8=5(x^2-2x+1)
8=5x^2-10x+5
8-5=5x^2-10x
3=5x^2-10x
Answer:
2,4,7
Step-by-step explanation: