Answer:
The equation of perpendicular bisector is:
[tex]y = 2x-2[/tex]
Step-by-step explanation:
Given the points
(-4, 3)(8, -3)First, we need to find the midpoint of the points (-4, 3) and (8, -3)
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]
[tex]=\left(\frac{8-4}{2},\:\frac{-3+3}{2}\right)[/tex]
[tex]=\left(2,\:0\right)[/tex]
Thus, the midpoint of the points is: (2, 0)
Now, finding the slope between (-4, 3) and (8, -3)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]
[tex]m=-\frac{1}{2}[/tex]
Therefore, the slope m = -1/2
The slope of the line perpendicular to the segment = [-1] / [-1/2] = 2
Using the point-slope form of the equation of the line, the equation of perpendicular bisector is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line
substituting the slope 2 and the point (2, 0)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 0 = 2 (x-2)[/tex]
[tex]y = 2x-2[/tex]
Therefore, the equation of perpendicular bisector is:
[tex]y = 2x-2[/tex]
Division number story with the answer 5/2
Answer:
I have one below (It's kind of simple though..)
Step-by-step explanation:
Harry Had 5 Potions he made in Potions Class. He would like to share the 5 potions with his 2 friends, Ron and Hermione. How many potions do they each get? Write the equation for how many each person gets in fractional form
(This is a simple one I don't have a complicated one..)
If these two shapes are similar, what is the measure of the missing length w?
Answer:
2
Step-by-step explanation:
because 8 and 4 to get the shape smaller you divide it by 2 so you times 1 *2 to get the bigger one
Help please.
Algebra.
Answer:
3) B
4) D
5) C
Step-by-step explanation:
3) Slope is before X
4) Set equal to Y
5) Use rise over run to find slope then find y intercept
"what quadrant is...." PLEASE PLEASE HELP!!!! Thank you so so much!!! *will give brainliest*
Given:
[tex]\tan \theta > 0[/tex] and [tex]\sec \theta <0[/tex].
To find:
The quadrant.
Solution:
We know that,
In I quadrant, all trigonometric ratios are positive.
In II quadrant, only [tex]\sin \theta, \text{cosec}\theta[/tex] are positive and others are negative.
In III quadrant, only [tex]\cot \theta, \tan\theta[/tex] are positive and others are negative.
In IV quadrant, only [tex]\cos \theta, \sec\theta[/tex] are positive and others are negative.
We have,
[tex]\tan \theta > 0[/tex] and [tex]\sec \theta <0[/tex].
Here, [tex]\tan \theta[/tex] is positive and [tex]\sec \theta[/tex] is negative. So, [tex]\theta [/tex] lies in the III quadrant.
Therefore, the correct option is C, i.e., III.
Help
Me
Solve
This
Answer:
POG
Step-by-step explanation:
Answer:
Step-by-step explanation:
Nsjsjsjsms
Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circles touch each other
Answer:
[tex]AB=2\sqrt{ab}[/tex]
Step-by-step explanation:
From figure,
[tex]OA=a, \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)[/tex]
In triangle [tex]OO'D[/tex]
[tex](OO')^2=(OD)^2+(O' D)^2[/tex]
[tex]\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}][/tex]
Hence, [tex]AB=2\sqrt{ab}[/tex]
Dakota received a mark of 68% on his math test.
The test had 25 questions.
How many questions did Dakota answer correctly?
solve the following system of equations
evaluate 40 divided by 8 plus 3 multiplied by 4 multiplied bye 2
Answer:
29
Step-by-step explanation:
40/8 + 3*4*2 =
5 + 12*2 =
5 + 24 =
29
Answer: GIVE ME BRAINLIEST! THANKS!
29
Step-by-step explanation:
CHECK FO YO SELF BOIIII!!!!!!!!
Help 39 point pic below Math
Step-by-step explanation:
Remember the Difference of Squares:
a² - b² = (a + b)(a - b)
Therefore (√20 - √3)(√20 + √3)
= (√20)² - (√3)² = 20 - 3 = 17. (C)
Help plz i hate this but everytime I do this I get it worng
Answer:
The answer is 19.25
Step-by-step explanation:
Key skills needed: Fraction operations, decimal conversion
1) We are given the hint to use 9 as "b", and we get:
---> [tex]a = \frac{16}{8}(9) + \frac{10}{8}[/tex]
Let's do [tex]\frac{16}{8}(9)[/tex]
--> [tex]\frac{16}{8}[/tex] is the same as [tex]16[/tex] ÷ [tex]8[/tex]
16 divide by 8 is 2.
2) This means that it would be ---> [tex]2(9)[/tex] which is simply 2 times 9.
2 times 9 = 9 + 9 = 18
3) With that result, it would be ---> [tex]a = 18 + \frac{10}{8}[/tex]
Now, do [tex]\frac{10}{8}[/tex] (10 divided by 8) ---> Get 1.25
4) 18 + 1.25 = 19.25, so --> [tex]a = 19.25[/tex] is the answer
Hope you understood and have a nice day!! :D
a(x + b) = c
make x the subject
Answer:
Th answer is x = (c - ab) / a
Step-by-step explanation:
The steps are :
a(x + b) = c
ax + ab = c
ax = c - ab
x = (c - ab) / a
Answer:
x=(c-ab)/a
this s answer
Can someone help me please I need help
9514 1404 393
Answer:
1. yes
2. no
Step-by-step explanation:
We can label the equations [1] and [2] to make the transformations to the equivalent system easier to describe.
1. The equivalent system is [1] +[2] and 2×[1]. Both of these are described as allowed transformations.
[1] +[2] is (-x +2y) +(-3x +9y) = (10) +(-15) ⇒ -4x +11y = -5
2×[1] is 2(-x +2y) = 2(10) ⇒ -2x +4y = 20
These resulting equations match the ones proposed for the equivalent system.
yes, the systems are equivalent
__
2. The first equation of the proposed "equivalent" system is [1] +[2]. The second equation has no relation to the equations of the given system.
[1] +[2] = (-2x +3y) +(-11x -13y) = (14) +(-6) ⇒ -13x -10y = 8
no, the systems are not equivalent
(This is also shown in the attached graph. The original system is in red; the "equivalent" system is in green. Equivalent systems have the same solution. These do not.)
pls help :( :) i’m a little lost
Answer:
B
Step-by-step explanation:
On a graph you go rise over run (or Y divided by X) which in this equation is 1 divided by 2 which equals 1/2. You also need to look at what number is being crossed on the y axis, which in this case is 1. Slope intercept form is y=mx+b with m being the slope (1/2) and b being the y intercept (1)
Answer:
B. y = 1/2x + 1
Step-by-step explanation:
I went ahead and graphed each of the answer options for you and when I graphed for B it gave me:
HEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLP
1 Evaluate the following algebraic expression: 12 + y4 - 6 When Y=3
Answer:
your answer would be 6
Step-by-step explanation:
(3)4-6
12-6
6
Answer:
I think it would be 18
Step-by-step explanation:
3 x 4 =12
12 + 12= 24
24 -6=18
13х - 7y + 4х
Please explain and awnser it’s for a test!
Answer:
17x-7y
Step-by-step explanation:
Im assuming you need to simplify it.
combine 13x and 4x
17x-7y
The table shows the time Merrida spent driving and the number of miles she drove. She drove the same number of miles each hour.
Merrida’s Driving Time and Distance
Miles
Hours
140
4
175
5
210
6
How many miles did she travel each hour?
23 miles per hour
35 miles per hour
42 miles per hour
53 miles per hour
Answer:
35 miles per hour.
Step-by-step explanation:
140÷4=35
!75÷5=35
210÷6=35
Answer:
❌23 miles per hour
✅35 miles per hour
❌42 miles per hour
❌53 miles per hour
Go follow me on T I k T o k aiyana_parker
What are the zeros of the function (x) = x2 – 3x+2?
Step-by-step explanation:
f(x) = x² - 3x + 2 = (x - 2)(x - 1).
When f(x) = 0, (x - 2)(x - 1) = 0.
=> x = 2 or x = 1.
Simplify -4(2c+3) pleaseeeee
Answer:
-8c -12 =0
-8c = 12
c = - 12/8 = -3/2
Ey can someone answer my question please cause i've posted it a few times and nothing happen
Answer:
we could migrate here
Step-by-step explanation:
Answer:
I feel like I answered this before
Step-by-step explanation:
Find the solution to the system of linear equations below.
x - y = 0
3x + 2y = 10

Answer:
the desired solution is (2, 2)
Step-by-step explanation:
Solve this using elimination by add'n/subtr'n.
Multiply the first equation by 2, obtaining the equivalent set of equations:
2x - 2y = 0
3x + 3y = 10
Combining like terms, we get 5x = 10, and thus x must be 2.
Subbing 2 for x in the first equation yields 2 - y = 0, or y = 2.
Then the desired solution is (2, 2).
Factor f(x) 3x^3-4x^2-28x-16 given that (x+2) is a factor
Step-by-step explanation:
3x³ - 4x² - 28x - 16
= (x + 2)(Ax² + Bx + C)
= Ax³ + (2A + B)x² + (2B + C)x + 2C.
By Comparing Coefficients, we have:
A = 3,2A + B = -4,2B + C = -28,2C = -16.Solving them will give A = 3, B = -10 and C = -8.
Hence 3x³ - 4x² - 28x - 16
= (x + 2)(3x² - 10x - 8)
= (x + 2)(3x + 2)(x - 4).
The answer is f(x) = (x + 2)(3x + 2)(x - 4).
$250.00 memberships were discounted 56%! Do you know how much I'll pay for that membership now?
Answer:
Step-by-step explanation:
to find out you will
250*56/100=140 this is the discount
250-140=110 you will pay for membership
Answer: 110 %
Step-by-step explanation:
there is a ratio of 5 girls to 3 boys in the chorus.there are 24 boys in the chorus.how many girls are in chorus
Answer:
40
Step-by-step explanation:
3 x 8 = 24
5 x 8 = 40
2. (7.3B)Gwen has $29.00. If she buys 2 shortcakes at $3.99 each and 7 pounds of strawberries
for $7.67 from the grocery store, how much money will Gwen have left in dollars and cents ?
A) $14.00
B) $32.99
C) $20.50
D) $13.35
Answer:
d. $13.35
Step-by-step explanation:
subtract
i am so sorry if this is wrong! hope this helps:)
help me someone:((!!!!!
a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Answer:
Hope this helps!
Step-by-step explanation:
2L + 3S = 83
4L + 8S = 197
Multiplies the top equation by -2.
-4L + -6S = -166
4l + 8S = 197
Adding them together...
2S = 31
S = 31/2 = 15.5
Plugging into the first equation:
2L + 3S = 83
2L + 3(15.5) = 83
2L + 46.5 = 83
2L = 83 - 46.5
2L = 36.5
L = 36.5/2 = 18.25
check:
2L + 3S = 2(18.25) + 3(15.5) = 36.5 + 46.5 = 83
4L + 8S = 4(18.25) + 8(15.5) = 73 + 124 = 197
The Large box weighs 18.25
The small box weighs 15.5
what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin
Answer:(-8,-4)
Step-by-step explanation:
what is 5square times 34 times 10square.
Answer:
85,000
Step-by-step explanation:
(5 square) *34* (10 square)
Sushil and Fiona win some money and share it in the ratio 4:1. Sushil gets £33 more than
Fiona. How much did they get altogether?
the perimeter of Mrs.Moody's rectangular vegetable garden is 66 meters The length is 9 less than twice the width Find the length and width