Answer:
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
Step-by-step explanation:
Given points are:
(-5,3) and (3,7)
The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.
First of all we have to find the slope and mid-point of given line
Here
(x1,y1) = (-5,3)
(x2,y2) = (3,7)
The slope will be:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]
The mid-point will be:
[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]
Let m1 be the slope of the perpendicular bisector
Then using, "Product of slopes of perpendicular lines is -1"
[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]
We have to find the equation of a line with slope -2 and passing through (-1,5)
The slope-intercept form is given by:
[tex]y = mx+b\\y = -2x+b[/tex]
Putting the point (-1,5) in the equation
[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]
The final equation is:
[tex]y = -2x+3[/tex]
Hence,
The equation of perpendicular bisector of the line segment passing through (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]
Find the formula for the area A and the perimeter P of the shape shown find the area and perimeter when R is 5 cm find R when A is 100cm2 find r when P is 50cm find the value of r that makes A = p numerically
Answer:
1)Area; A = ¼πr²
Perimeter; P = πr/2 + 2r
2)A = 19.63 cm²
P = 17.85 cm
3) r = 8.885 cm
4) r = 14 cm
Step-by-step explanation:
This is a quadrant of a circle. Thus;
Area of a circle is πr². A quadrant is a quarter of a circle. Thus;
Formula for Quadrant Area is; A = ¼πr²
A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.
Formula for the quadrant perimeter in the image given is;
P = 2πr/4 + 2r
P = πr/2 + 2r
B) When r is 5 cm;
A = ¼π(5)²
A = 19.63 cm²
P = π(5)/2 + 2(5)
P = 17.85 cm
C) when A is 100cm²:
¼πr² = 100
r² = 100 × 4/π
r² = 78.9358
r = √78.9358
r = 8.885 cm
D) when P = 50 cm.
50 = πr/2 + 2r
50 = (½π + 2)r
r = 50/(½π + 2)
r = 14 cm
Name the vertical angles in the diagram below:
Hey there!
The vertical angles in the diagram shown are 2 and 3, and 1 and 4, because they are formed by 2 intersecting lines and are across from eachother.
Hope it helps and have a good day!
5.) 3x^2 - 13x + 4 = 0
Answer:
Answer:
x= 1/3 or x=4
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−13x+4=0
Step 1: Factor left side of equation.
(3x−1)(x−4)=0
Step 2: Set factors equal to 0.
3x−1=0 or x−4=0
x= 1/3or x=4
plz give brainlyest
Please help me with this ;(
If x = 2, y = -1, Simplify and find the value of x(2) - 3 (x(2) + y(2) - 4).
Answer:
I think it would be -4x-6y+12
Answer:
10
Step-by-step explanation:
Plug in the values to "x" and "y" and solve.
Solve:
2(2) - 3(2(2) - 1(2) - 4)
2(2) - 3(4 - 1(2) - 4)
2(2) - 3(4 - 2 - 4)
2(2) - 3(-2)
4 - 3(-2)
4 + 6
10
Your answer would be 10.
Look at the data points on the graph
Is this relationship a function?
HELP AS SOON AS POSSIBLE PLEASE!
Answer: A is correct
Step-by-step explanation:
all possible chances between two people are 100 different possibilities. Once you add the possibilities, you can see there is 15 balloons with the medium prize. Multiply 15 by 2 and you'll get 30/100, which simplifies to 3/10
What is the length of AB?
14 unite
12 unite
10 unite
6 units
the answer willllll be 6 units
A. The rate of change of function A is -2 The rate of B is 8
B. The rate of hangs function A is 1 The rate of change of function B is 8
C. The rate of change of function A is -2 The rate of change of function B is 4
D. The rate of change of function A is 1 The rate of change of function A is 1 The rate of function B is 4
Use the Distributive Property to solve the equation. -2(x + 4) = 8 Apply the Distributive Property and simplify. - 2x+ what = 8
Answer:
if your asking for the -2(x+4)=8 equation its -8
Hey there!
First, use the Distributive Property and distribute -2:
-2(x+4)=8
-2x-8=8
Add 8 to both sides:
-2x=8+8
-2x=16
Divide both sides by -2:
x=-8
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
Answer Given By:
~Someone Who Loves Helping Others
HELPPPP MEEEEE!!!!!!!!!!!!!!!
Answer: multiply by 2
Step-by-step explanation: this will cancel the denominator on the left side
67.5 into a fraction
Answer:
67 1/2
Step-by-step explanation:
67 5/10
67 1/2
135 over 2 =67 and 1 over 2 =67.5 Answer:(67 1/2)
In one week, a printing center made 1,232 copies of a 26 page article. The printing center also printed 639 copies of a 14 page essay. How many pages did the printing center print during the week?
Answer: they printed 40,978 pages in a week
I NEED HELP RIGHT NOW!!! please help me! i don understand this! :(
1 pts
The hanger image below represents a balanced equation.
27
v
v
Find the value of V that makes the equation true.
OV=9
O V = 8
O V = 7
O No answer text provided.
Answer:
9
Step-by-step explanation:
27/3=9. 9x3=27
What is the ratio of the length of one leg to the length of the other leg?
9514 1404 393
Answer:
D. 1 : 1
Step-by-step explanation:
The ratio of the two legs in any isosceles triangle is 1 : 1. That is also true of this isosceles right triangle. (You can tell it is isosceles because the acute angles are identical in size.)
Help please I’m almost done
Answer:
33 and -39
Step-by-step explanation:
Angle on a straight line = 180
|5x + 15| = 180 and |5x + 15| = -180
5x + 15 = 180
Subtract 15 from both sides;
5x = 165
Divide both sides by 5;
x = 33
5x + 15 = -180
Subtract 15 from both sides;
5x = -195
Divide both sides by 5;
x = -39
Simplify the expression: 4(x + 3) + 3(5 – x) A X + 27 B X + 8 C 2x + 15 D. 19x + 11
Answer:
A
Step-by-step explanation:
4(x+3)+3(5-x)
=4x+12+15-3x
=x+27
Answer:
A. x+27
Step-by-step explanation:
you have to open the brackets it will be 4x+12+15-3xfor more easier you can organise it 4x-3x+12+15=x+27Sarah has a loyalty card good for a 20% discount at her local grocery store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $39.25?
the difference between 4 times more than 40 and 20
please help i missed this class and i’m a little confused (question is in the pic)please tell me how to solve it
Can somebody help me. Will mark brainliest.
Answer:
the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)
Step-by-step explanation:
1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle
Select the three ratios that describe the model.
Answer:
The 1st, 2nd, and 4th ones are the answer
Step-by-step explanation:
Kim and Melody are selling popcorn buckets for a school fundraiser. Customers can buy small buckets or large buckets. Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206. Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231. What is the cost for a small bucket and a large bucket of popcorn?
Answer:
The cost of
A small bucket = x = $8
A Larger bucket = y = $13
Step-by-step explanation:
Let the cost of
A small bucket = x
A Larger bucket = y
Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206.
3x + 14y = 206... Equation 1
Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231.
11x + 11y = 231.... Equation 2
What is the cost for a small bucket and a large bucket of popcorn?
3x + 14y = 206... Equation 1
11x + 11y = 231 ....... Equation 2
We solve using Elimination method
Multiply Equation 1 by 11 and Equation 2 by 3 to Eliminate x
33x + 154y = 2266.... Equation 3
33x + 33y = 693....... Equation 4
We subtract Equation 4 from Equation 3
121y = 1573
y = 1573/121
y = $13
Solving for x
3x + 14y = 206... Equation 1
3x + 14 × 13 = 206
3x + 182 = 206
3x = 206 - 182
3x = 24
x = 24/3
x = $8
Hence, the cost of
A small bucket = x = $8
A Larger bucket = y = $13
Sinead bought 2 shirts for 15.10 each and a pair of shoes for $42.42 If she paid for the items with a $100 bill, how much change
did she receive?
Answer:
27.38
Step-by-step explanation:
15.10 times 2 is 30.2
30.2+42.42=72.62
100-72.62=27.38
NEED HELP FAST PLEASE.
Please answer all these.
AND BECAUSE YOUR GONNA ANSWER ALL OF THEN IMA GIVE YOU 50 POINT
Answer:
60
Step-by-step explanation:
Can someone please help. I dont know how the heck to do this and i need to keep my math grade up.
Answer:
give a full picture bruv
can someone respond to my last question?
Answer:
i will try to help you
Step-by-step explanation:
What question can you never honestly answer yes to?
Answer: DO YOU LIKE SOMEONE? AND THAT IS MY QUESTION I CAN NEVER ANSWER :) :P
Step-by-step explanation:
I need help with this math problem
what is 15% of $58?
Answer:
15% of 58
15÷100×58
may this help u
Answer: $ 8.70
Step-by-step explanation: 0.15 x 58 = 8.7