Answer:
p = -4, q = -3
Step-by-step explanation:
y = -2x +4 ... (1) perpendicular bisector of AB, slope = -2
slope of AB = 1/2
Line AB pass (8,3): (y-3) / (x-8) = 1/2
AB equation: y-3 = 1/2(x-8) y = 1/2x - 1 ... (2)
(2)-(1): 5/2 x = 5 x = 2
y = 0 (2,0) intercept of bisector and AB, it is midpoint of A (8,3) and (p,q)
(8+p)/2 = 2
p = -4
(3+q)/2 = 0
q = -3
The values of p and q from the perpendicular bisector are;
p = -4 and q = -3
We are given coordinates of A and B as;
A(8, 3) and B(p, q)
Bisector of AB is y = -2x + 4
Thus, from y = mx + c, Slope of the bisector is -2.
Since the bisector is perpendicular to AB, then slope of AB = -(1/-2) = 1/2
Thus, slope of the line from point A to the point of the bisector on AB is;
(y - 3)/(x - 8) = 1/2
y - 3 = ¹/₂(x - 8)
y - 3 = ¹/₂x - 4
y = ¹/₂x - 1
Putting ¹/₂x - 1 for y in the bisector equation gives;
¹/₂x - 1 = -2x + 4
2x + ¹/₂x = 4 + 1
2.5x = 5
x = 5/2.5
x = 2
Thus;
y = -2(2) + 4
y = 0
Thus, the coordinate of the midpoint of AB is (2, 0)
Now, this means that;
(8 + p)/2 = 2
8 + p = 4
p = 4 - 8
p = 4
Also; (3 + q)/2 = 0
3 + q = 0
q = -3
Read more about equation of perpendicular bisector at; https://brainly.com/question/23090478
what is the value of X
Answer:
58
Step-by-step explanation:
180-122=58
how to find the domain and range of y=|x| ?
#3 find value of x
Answer only math
Answer:
x=130º
Step-by-step explanation:
90+40+50=180
180-50=130
an outdoor and camping store pays a wholesale price of $25.85 for a fishing rod and sells it for $31.02 what is the precent markup
Write your answer
Answer:
30%
Step-by-step explanation:
Se dispone de 10 m de alambre para rodear un terreno de forma rectangular.a. ¿Cuánto mide el largo del terreno si de ancho tiene 1 m? ________________________________b. ¿Y si tiene 2 m de ancho? __________________________________
I really need help please
Answer:
p<-12/5
Step-by-step explanation:
Answer:
Multiply each term in [tex]-\frac{5}{6}p > 2[/tex] by [tex]-\frac{6}{5}[/tex] to eliminate the fractions.
Inequality form:
[tex]p < \frac{-12}{5}[/tex]
Interval Notation:
(-∞, [tex]-\frac{12}{5}[/tex] )
Match each diagram with a description and an equation
Answer:
match each is in moon description and diagram
Answer: Uhh I dont see a diagram but maybe its my end.
Step-by-step explanation: PS. it might be my chromebook
Solve the simultaneous equations.
x + 2y = 9
5x – y = – 10
Answer:
(- 1, 5 )
Step-by-step explanation:
Given the 2 equations
x + 2y = 9 → (1)
5x - y = - 10 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate the y- term
10x - 2y = - 20 → (3)
Add (1) and (3) term by term to eliminate y
11x + 0 = - 11
11x = - 11 ( divide both sides by 11 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (1)
- 1 + 2y = 9 ( add 1 to both sides )
2y = 10 ( divide both sides by 2 )
y = 5
solution is (- 1, 5 )
x + 2y = 9 x + 2y = 9
=====》
5x - y = - 10 (×2) 10x - 2y = - 20
+____________
11x + 0 = - 11
11x = - 11
x = - 1
Thus :
- 1 + 2y = 9
Add both sides 1
2y - 1 + 1 = 9 + 1
2y = 10
Divide both sides by 2
2y ÷ 2 = 10 ÷ 2
y = 5
_____________________________
x = - 1 & y = 510. A gardener wants to pour a sidewalk around the outside of his 20- by 30-meter garden. The sidewalk will be
1 meter wide. How many square meters of sidewalk will he have?
30 m
20 m
(Hint: Subtract the area of the garden from the total area covered by
both the garden and the sidewalk. A = A, - A)
1m2!
w1m
Answer:
https://learning-ph.com/math/question7489744
pls check this site
Step-by-step explanation:
Answer:
104 m²
Step-by-step explanation:
There is a 1 m sidewalk around the garden
Then length = 30 + 1 + 1 = 32 m
and width = 20 + 1 + 1 = 22 m
Area = 32 × 22 = 704 m²
Area of garden = 30 × 20 = 600 m²
Area of sidewalk = 704 - 600 = 104 m²
are they parallel perpendicular or neither.
Answer:
parallel
Step-by-step explanation:
plz help will mark you as brainliest(plz answer 42 and 43
Answer:
41. D, 42. B, 43. AStep-by-step explanation:
Sides are 120 m, 170 m, 250 m
41.S is the semi-perimeter and is equal to:
s = (a + b + c)/2 = (120 + 170 + 250)/2 = 270 mCorrect choice is D
42.The area is easy to calculate using the Heron's formula, since we have all three side lengths known.
Correct choice is B
43.Perimeter is:
P = a + b + c = 120 + 170 + 250 = 540 mCorrect choice is A
[tex](-1{2}{3} )x^{3}[/tex]
After talking with you here are two different options I think you are trying to ask:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If you are talking about: [tex](\frac{-12}{3}) ^{3}[/tex]
Answer: -62
Explanation:
PEMDAS tells us we need to do the exponent first:
-12³ = (-12)³ = -1728
The parentheses are important so you cube the negative sign as well!
3³ = 27
-1728 / 27 = -62
[tex](\frac{-12}{3}) ^{3}[/tex] simplified is -62
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
If you are talking about (-1[tex]\frac{2}{3}[/tex])³
Answer: -[tex]\frac{125}{27}[/tex]
Explanation:
First, let us turn -1 and two thirds into a mixed number:
Ignoring the negative for now, we can 1 times 3 is 3. 3 plus 2 is 5. 5/3 is 5/3. Adding in the negative we get [tex]-\frac{5}{3}[/tex]
To cube it we must do:
([tex]-\frac{5}{3}[/tex])([tex]-\frac{5}{3}[/tex])([tex]-\frac{5}{3}[/tex])
3 times 3 (9) times 3 is 27
5 times 5 (25) times 5 is 125
So we have 125/27
For the negative, we have three - - -
Two cancel each other out, and we are left with one (-) so our answer is negative
(-1[tex]\frac{2}{3}[/tex])³ simplifed is -[tex]\frac{125}{27}[/tex]
Help pls very hard I can’t do it
Answer:
2+4f
Step-by-step explanation:
Distribute:
2(1+2f)= 2+4f
Hope this helps! :)
At the speeds shown in the table, how much farther could a black-tailed jackrabbit
run than a desert cottontail in 7 seconds?
Running Speeds
Animal
Speed
(feet per second)
Black-tailed
Jackrabbit
51
Desert
Cottontail
28
feet farther than a desert cottontail in 7
A black-tailed jackrabbit could run
seconds.
Answer:
animal
gkofb
jgfui
jffn
2x + y 2 = 10; (3, 2) tell weather the ordered pair is a soultion to the eqaution.
Answer:
X=- 1
y=- 5
Step-by-step explanation:
X=- 1
y=- 5
If the quantity changes by a factor of 0.125 every year, by what factor does it change every 4 months?
a) (0.125)^1/4
b) (0.125)(1/4)
c) 0.375
d) 0.5
Answer:
Either d or b
Step-by-step explanation:
pls give brainliest
-54/50 - 40/100 + 1.65=
Answer:
0.17
Step-by-step explanation:
1) Simplify 54/50 to 27/25
-27/25-40/100+1.65
2) Simplify 40/100 to 2/5
-27/25-2.5+1.65
3) Simplify
4.25/25
4) Simplify
0.17
3. Factor each of the following polynomials using GCF and/or 2 binomials. Show your work. 4 points
A.5x^2 – 2x =
B.x^2 – 12x – 45 =
C.2x^2-x-15
D.9x^2-16
Answer:
See belowStep-by-step explanation:
A
5x² – 2x = x(5x - 2)B
x² – 12x – 45 = x² + 3x - 15x - 45 = x(x + 3) - 15(x + 3) = (x + 3)(x - 15)C
2x² - x - 15 = 2x² + 5x - 6x - 15 = x(2x + 5) - 3(2x + 5) = (2x + 5)(x - 3)D
9x² - 16 = (3x)² - 4² = (3x + 4)(3x - 4)Given :-
A.5x^2 – 2x = B.x^2 – 12x – 45 = C.2x^2-x-15 D.9x^2-16To Find :-
Factorised form into two binomials .Answer :-
A) 5x² - 2x
= x ( 5x -2 )
B) x² - 12x -45
= x² -15x + 3x -45
= x(x -15) +3( x -15)
= (x-15) ( x +3)
C) 2x² - x -15
= 2x² +5x - 6x -15
= x(2x +5) -3(2x +5)
= (x-3)(2x+5)
D) 9x² -16
=(3x)² -4²
= (3x+4)(3x-4) [using a²-b² = (a+b)(a-b) ]
WILL MARK BRAINLIEST!!!
Which statements about triangle JKL are true? Select two options.
A. M is the midpoint of line segment KJ.
B. N is the midpoint of line segment JL.
C. MN = 1/2 KJ
D. MN = 4.4m
E. MN = ML
It's B and C just did the test and got a 100
Answer:
b and c
Step-by-step explanation:
B AND C
(216/64) ^2/3 in its simplified form is equal to
(A) 3/2, (B) 9/4, (C) 2/3, (D) 1/2
PLS ANSWER WITH EXPLANATION
This answer should help.
Write the given equation in standard form.
−7x−5y=3
Answer:
7x+5y=-3
Step-by-step explanation:
Please explain how to solve this!
9/11 Divided by 3/2
[tex] \frac{9}{11} \div \frac{3}{2} [/tex]
Solution[tex]= \frac{9}{11} \times \frac{2}{3} \: \: \: \: \: \: \fbox{ gets \: reciprocal} \\ \\ = \frac{ \cancel9}{11} \times \frac{2}{ \cancel3} \\ \\ = \frac{3}{11} \times \frac{2}{1} \\ \\ = \frac{6}{11} [/tex]
[tex] \fbox \red{Hope This Helps}[/tex]
geometry, proving vertical angels are congruent
MONEY PRIZE FOR THE FIRST PERSON TO GET THIS RIGHT AT THE END OF THE PROBLEM LIST METHOD OF ONLINE PAYMENT YOU WANT!
Situation: You love to knit sweaters and you want to start a small business to make money from your talent. You want to do the math first to find out how long it will take for you to make a profit. You must pay a fixed fee of $90.00 to start the company up plus $15.00 for each sweater to pay for the yarn. You want to charge $30.00 for each sweater that you sell.
1. Write an equation for the cost of the company
Choose and define your variables in words:
x:
Equation: y:
2. Write an equation for the money made, INCOME (NOT PROFIT ALL INCOME), selling sweaters
Choose and define your variables in words:
x:
Equation: y:
After you have your equations:
-Find the cost and income when you sell 2 sweaters. (You should have two different answers because you had two different equations one for the INCOME and one for the COST!)
Hints: REMEMBER X is your independent variable so look at the independent number or thing about the problem and write it for x: . Also REMEMBER Y is your dependent variable so whatever your x is y will depend on it if X changes Y also changes look at the problem and ask yourself "What has an effect on what? and "What is effected by what?" This will help you answer the problem.
Answer:
1. y = 90x
x: the amount of companies to start
y: The total amount it will cost.
2. y = 30x
y: the total income
x: the amount of sweaters being sold.
The answer to the last question(I think would be):
cost: $30
income: $60
as:
equation to find cost = y = -15x
equation to find income = y = 30x
Find the x and y intercepts
Answer:
You have 2 points where the graph intersects with the x-axis, x=-1 or x=5.
The graph intersect with the y-axis at y=-2
Please help! Geometry
Lines cut by transversal
Answer:
m<4=40º
Step-by-step explanation:
11x+8=12x-4
-x=-12
x=12
(11•12)+8+x=180
140+x=140
x=40
How many times can 64 go into 28 I need the answer!!!
Answer:
64 can go into 28 0.4375 times. (less than 1 in a nutshell)
Step-by-step explanation:
What is the logarithmic formula 10000= 625/8*2^t ?
9514 1404 393
Answer:
log(128) = t·log(2)
Step-by-step explanation:
You can take logarithms the way the formula is, or you can simplify it first.
As is
log(10000) = log(625) -log(8) +t·log(2)
__
Simplified
8·10000/625 = 2^t . . . . . multiply by 8/625
128 = 2^t
log(128) = t·log(2)
_____
Solution:
t = log(128)/log(2) = 7
Identify these triangles. On the first blank classify by the measure of their angles. On second line classify the number of congruent sides they have.
1. 60*
2. 30*
i not sure that this is right
ya tengo la respuesta pero necesito escribir como ise el problema xf ayudenme.