Answer:
d = 2[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(3-9)^2+(6-2)^2} \\d= \sqrt{(-6)^2+(4)^2} \\d= \sqrt{(36)+(16)} \\d= \sqrt{52} \\d=2 \sqrt{13}[/tex]
Which of the following is an equation in the form y = ax2 + bx + c of the parabola shown in the graph? Show your work.
A. y = −5x2 − 20x − 65
B. y = −5x2 − 20x − 20
C. y = −x2 − 27x − 90
D. y = −5x2 + 20x + 25
Answer:
Option D. y = – 5x² + 20x + 25
Step-by-step explanation:
We'll begin by obtaining the solutions to the equation from the graph. This can be obtained as follow:
The solutions are simply the values through which the graph cuts the x-axis.
The solutions are x = – 1 and 5.
Next, we shall obtain the equation for the graph as follow:
x = – 1 Or x = 5
x + 1 = 0 or x – 5= 0
(x + 1) (x – 5) = 0
Expand
x(x – 5) + 1(x – 5) = 0
x² – 5x + x – 5 = 0
x² – 4x – 5 = 0
Multiply through by 5
5x² – 20x – 25 = 0
Rearrange
0 = 0 – (5x² – 20x – 25)
= – 5x² + 20x + 25
Thus, the equation is:
y = – 5x² + 20x + 25
3. -(0.5x +0.25) = -38
Answer:
-75.5 I think
Step-by-step explanation:
-0.5x-0.25=-38
add 0.25 on both sides.
-0.5=-37.75
-75.5
Answer:
now we need to find x
x will be found by finding what you have to multiply to get to 38
-0.25 x 152= -38 so x= 152
5). 3x + y = 13
5x - 2y =7
Simultaneous linear equation
Answer:
Step-by-step explanation:
6x + 2y = 26
5x - 2y = 7
11x = 33
x = 3
3(3) + y = 13
9 + y = 13
y = 4
(3,4)
PLEASE HELP I WILL MARK YOU BRAINLIEST.
Answer:576cm
Step-by-step explanation:
Multiply length width
And height
Answer:
[tex] \boxed{ \bold{ { \boxed{ \sf{576 \: cubic \: centimeters}}}}}[/tex]
Step-by-step explanation:
Given,
Length of the rectangular prism ( l ) = 16 cm
Height of the rectangular prism ( h ) = 4 cm
Width of a rectangular prism ( w ) = 9 cm
Finding the volume of the rectangular prism. having length of 16 cm , width of 9 cm and height of 4 cm
[tex] \boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}[/tex]
[tex] \longrightarrow{ \sf{volume \: = 16 \times 9 \times 4}}[/tex]
[tex] \dashrightarrow{ \sf{576 \: {cm}^{3} }}[/tex]
Hope I helped!
Best regards! :D
buatlah matriks yang terdiri atas 5 baris dan 3 kolom dengan entrinya adalah 15 bilangan prima yang pertama
[tex]A = \left[\begin{array}{ccccc}2&3&5\\7&11&13\\17&19&23\\29&31&37\\41&43&47\end{array}\right] \\ \\ \\ \\ A^T = \left[\begin{array}{ccccc}2&7&17&29&41\\3&11&19&31&43\\5&13&23&37&47\end{array}\right][/tex]
e=300-10 (30)
How to solve it step by step
Answer:
Step-by-step explanation:
e = 300-10(30)
e = 300 - 300
e = 0
When reaching mile marker 4 on the trail, Susan uses her GPS to find that her current elevation is 6135 feet. If she follows the trail until its end at mile marker 9, her elevation will be 8290 feet. What is the average change in elevation of Susan's position from mile marker 4 to mile marker 9, in feet per mile marker?
Answer:
Change in elevation= 431 feet/mile marker
Step-by-step explanation:
given data
Elevation at mile marker 4 = 6135 feet
Elevation at mile marker9 = 8290 feet
to find out
average change in elevation
solution
we get here average change in feet per mile marker that is express as
average change in feet per mile = change in elevation ÷ change in mile marker .....................1
put hree value we get
average change in feet per mile = [tex]\frac{8290-6135}{9-4}[/tex]
average change in feet per mile = 431 feet/mile marker
so
Change in elevation= 431 feet/mile marker
Terry bought a home that home that had an attached one-car garage and a screened porch that spanned the length of the home. If the garage measured 16' in depth which was half the depth of the house and the screened porch was 64' in width, what is the GLA of the house?
Answer: 2048SF
Step-by-step explanation:
From the question, we are informed that Terry bought a home that home that had an attached one-car garage and a screened porch that spanned the length of the home.
We are further told that the garage measured 16' in depth which was half the depth of the house and the screened porch was 64' in width. Since the garage measured 16' in depth which was half the depth of the house, this means that the total depth of the house will be:
= 16' × 2
= 32'
Therefore, the GLA of the house will then be the full depth of the house multiplied by the screened porch. This will be:
= 32' × 64'
= 2048SF
simplify the following: 11^6/11^4
Answer:
11² or 121
Step-by-step explanation:
simplify the following: [tex]11^6/11^4[/tex]
Remember when bases are the same powers can be subtracted (or added)
[tex]\frac{11^6}{11^4}=11^{(6-4) }\\\\\\11^{2}=121\\[/tex]
:)
15 less than the sum of k and 2
The algebraic expression for the given statement is k-13.
The given statement is "15 less than the sum of k and 2".
We need to form the algebraic expression for the given statement.
What is the algebraic expression?In mathematics, an algebraic expression is an expression built up from integer constants, variables, and algebraic operations.
Now, the sum of k and 2=k+2
15 less than the sum of k and 2=(k+2)-15
=k+2-15
=k-13
Therefore, the algebraic expression for the given statement is k-13.
To learn more about the algebraic expression visit:
https://brainly.com/question/19245500.
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A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. How much has the polygon rotated after 7 minutes?
Answer:
42
Step-by-step explanation:
D-42 on EDG.
A clock is constructed using a regular polygon with 60 sides. The polygon rotates each minute, making one full revolution each hour. The polygon has rotated 42 times after 7 minutes.
A polygon is known to be a plane figure with at least three equal sides and angles.
From the given information,
the sides of the polygon = 60 sidestime to complete a single rotation for 60 sides = 1 hourIn one full revolution, there are = 360°To estimate the revolution completed in 1 minute, we have:
[tex]\mathbf{= \dfrac{360 \ ^ 0}{60 \ ^ 0} }[/tex]
= 6° per minute
Now, to determine how much the polygon has rotated after 7 minutes, we have:
= (6° / minute) × 7 minutes
= 42°
Therefore, we can conclude that the polygon has rotated 42° in 7 minutes,
Learn more about polygon here:
https://brainly.com/question/3491511?referrer=searchResults
Which of the following expression is equivalent to (3x^2y^3)^3?
A) 27x^5y^6
B) 27x^6y^9
C) 9x^6y^9
D) 3x^5y^6
Evaluate 42 = (5 – 3). (1 point)
Answer:(5-3)=42
Step-by-step explanation:
Hello There!!
Your answer is 21.
First, You should do is (5 ₋ 3) = 2.
Then, You need to divide 42/2 =21.
[tex]\sqrt[HopeThisHelps}[/tex][tex]^{HopeThisHelps}[/tex]
[tex]\frac{Loserbrazts}{}[/tex]
An expression has a division symbol and a subtraction symbol. Is there any situation in which you would perform the subtraction before the division
how do I solve 3+k/14=4
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{k = 53}}}}}[/tex]
Step-by-step explanation:
[tex] \bigstar{ \sf{ \: \: \frac{3 + k}{14} = 4}}[/tex]
[tex] \tt{Step \: 1 \: }[/tex] : Do cross multiplication
[tex] \hookrightarrow{ \sf{3 + k = 4 \times 14}}[/tex]
[tex] \tt{Step \: 2}[/tex] : Multiply the numbers : 4 and 14
[tex] \hookrightarrow{ \sf{3 + k = 56}}[/tex]
[tex] \tt{Step \: 3 \: }[/tex] Move 3 to right hand side and change it's sign
[tex] \hookrightarrow{ \sf{k = 56 - 3}}[/tex]
[tex] \tt{Step \: 4 \: }[/tex] Subtract 3 from 56
[tex] \hookrightarrow{ \sf{k = 53}}[/tex]
The value of k is 53
Hope I helped!
Best regards! :D
~TheAnimeGirl
Answer:
Step-by-step explanation:
k/14 + 3 = 4
k/14 = 1
k = 14
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answer:
according to my point of view I guess it is the law of syllogism
the valid conclusion is likely to be that Tommy has an oven
what is the equation of the line parallel to the line y=1/4x+5 and passing through the point (2,-1)
Answer:
The answer is
[tex]y = \frac{1}{4} x + \frac{1}{2} [/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
The equation of the line is
y = 1/4x + 5
Comparing with the general equation above
Slope / m = 1/4
Since the lines are parallel their slope are also the same
Slope of parallel line = 1/4
So the equation of the line using point (2,-1) and slope 1/4 is
[tex]y + 1 = \frac{1}{4} (x - 2) \\ y - 1 = \frac{1}{4} x - \frac{1}{2} \\ y = \frac{1}{4} x - \frac{1}{2} + 1[/tex]
We have the final answer as
[tex]y = \frac{1}{4} x + \frac{1}{2} [/tex]
Hope this helps you
4. What is the value of the expression 3/12÷2/5
Answer:
(3/12)=0.25
(2/5)=0.40
(0.25/0.40)=0.625
Step-by-step explanation:
which integer is closest to √55 ?
Answer:
when you simplify √55
you get
7.41619848.....
the integer closest to 7.41619848... is 7
So the answer is 7
Find the midpoint of points A(8,6) and B(0, 3)
Answer:
Midpoint = (4,4.5) or written as fraction (4,[tex]\frac{9}{2}[/tex])
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2}),(\frac{y_1+y_2}{2} ) \\MP= (\frac{8+0}{2}),(\frac{6+3}{2} ) \\MP= (\frac{8}{2}),(\frac{9}{2} ) \\MP= (4,4.5)[/tex]
What is not a description of slope?
rise over run
the rate of change of a line
change in y over the change in x
the ratio of horizontal change compared to vertical change
Answer:
Option (d) is wrong.
Step-by-step explanation:
Slope is:
rise over runThe rate of change of a lineChange in y over the change in xThe ratio of vertical change to the horizontal change.It can be given by mathematically as follows :
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{and}\\\\m=\dfrac{dy}{dx}[/tex]
Hence, the option which is not a description of slope is (d) "the ratio of horizontal change compared to vertical change"
The coefficient of first term of a polynomial written in standard (descending order) form is called the _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ coefficient
Answer:
The leading coefficient
Step-by-step explanation:
Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. Which of the equations below shows the amount y that Rashida charges for a bike rental that lasts x hours? A y = 10 + 4x C y = 4 + 10x B y = 10 - 4x D y = 4 - 10x
Answer:
Step-by-step explanation:
y = 4x + 10
the answer is A
put the following equation of a line into slope intercept form ,simplifying all fractions.
12x-4y = -12
In x-5=9, the correct way to isolate the variable is to
Answer: x=14
Step-by-step explanation:
Add 5 to both sides to get the x alone and get your answer.
George has $15. He would like to know if he has enough money to see a movie ($9.00) and buy a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each). George incorrectly used this numerical expression to decide if he had enough money.
15 - 9 + 2.65 + 1.35 + 2(1.74)
Use the order of operations to simplify this expression.
Answer:
Yes, he has enough money and your simplified answer is below. If I'm wrong correct me or give me a comment.
Step-by-step explanation:
15 - 9 + 2.65 + 1.35 + 2(1.74) Multiply first.
15 - 9 + 2.65 + 1.35 + 3.48 Then just add or subtract from the left to the right
6 + 2.65 + 1.35 + 3.48
8.65 + 1.35 + 3.48
10 + 3.48
13.48 would be the simplified answer.
Answer:
um i put 13.48 and got it right
Step-by-step explanation:
A card is picked a random from the following set:
6,7,8,9
What is P(9)? Write as a Percentage
Answer:
25%
Step-by-step explanation:
There are 4 cards. Each one is a different number.
Only one card is a 9.
p(9) = 1/4 = 0.25 = 25%
I need help w thsi 30+6ft=11ft
Answer:
6 i think
Step-by-step explanation:
30+6ft=11ft
-6 -6
30=5
30/5=6 5/5=1
6=1
13.) Solve for M
14.) Solve for A
17.) Solve for H
Answer:
See Below (Isolate the variables)
Step-by-step explanation:
13) d = 4AM solve for M
Divide both sides by 4A
[tex]\frac{d= 4AM}{4A}[/tex]
[tex]\frac{d}{4A} = M[/tex]
14) [tex]\frac{A}{6}[/tex] = f+h solve for A
Multiply both sides by 6
A = 6( f+h)
15) h - m = qb solve for H
Add m to both sides
h - m = qb
+ m +m
h = qb + m
Jerry is counting his shirts. he notices that for every 5 black t-shirts in his drawer he has two red t-shirts. if he owns 28 t-shirts how many black t-shirts does jerry own?
Answer:
20
Step-by-step explanation: