line a passes through the points (3,4) and (-1,2). line b passes through the points (-12,0) and (-6,-4). at what point do the lines intersect
Answer:
The point of intersection of the two lines is;
(-9,-2)
Step-by-step explanation:
What we have to here is to get the equation of both lines, solve simultaneously and get the intersection points
For the first line;
The general form is
y = mx + b
formula for the slope is;
m = (y2-y1)/(x2-x1)
The points (3,4) and (-1,2)
m = (2-4)/(-1-3) = -2/-4 = 1/2
So the equation is;
y = 1/2x + b
To get b, let us substitute coordinates of the first point;
4 = 1/2 * 3 + b
4 = 3/2 + b
b = 4 - 3/2
b = (8-3)/2 = 5/2
So the equation is;
y = 1/2x + 5/2
For the second line;
Slope;
m = (-4-0)/(-6+12) = -4/6 = -2/3
The equation is;
y = -2x/3 + b
Let us substitute the first
0 = -2/3(-12) + b
0 = 8 + b
b = -8
The equation is;
y = -2x/3 - 8
Now , we want to get the intersection point
To do this, we have to solve both equations simultaneously;
Since we have an expression for y in both cases, let us equate both y
-2x/3-8 = 1/2x + 5/2
Multiply through by 6
-4x - 48 = 3x + 15
-4x-3x = 15 + 48
-7x = 63
x = 63/-7
x = -9
To get x;
Recall;
y = -2x/3 - 8
y = -2/3(-9) - 8
y = 6 - 8
y = -2
please help!
i’ll give a brainiest
Answer:
i cant see anything
Step-by-step explanation:
what 50 precent of 7
Answer:
3.5
7 divided by 50=3.5
3.5x2=7
Step-by-step explanation:
A stick is twice as long as a piece of string. If you have 10 strings and 10 sticks laid out in a line, the line measures 90 inches. How long is the stick?
Solve for c.
c=2
Ac=-16
Bc=-4
Cc=4
Dc=16
what is the simplest form of (3xy³)²?
a. 6x2y5
b. 6x2y6
c. 9x2y6
d. 9x2y5
Answer:
the answer is either B or C but I think it's C
Given: t is tangent at B
is diameter
If m = 110°, then m =
70
80
110
Answer:
70
Step-by-step explanation:
Given
∠PDB = 110°
PDis the tangent to the circle whose centre is E
Construction
Join points D and E.
∠DPE= 90° [Since angle in a semi circle is 90°]
Also ∠PDE = 90° [Since radius ⊥ tangent]
From the figure we have,
∠PDB=∠PDE + ∠DBE
i.e. 110° = 90° + ∠DBE
Therefore, ∠DBE =20°
Now in ΔBED, BE = ED [Radii]
So, ∠EDB = ∠EBD =20°
In ΔBPD, we have
∠DPE = 90° & ∠DBE = 20°
Therefore, ∠DPB = 70°
Answer:
70 is the correct answer
Step-by-step explanation:
A remote control airplane with an original price of $85 is on sale for $76.50. What is the percent of the discount?
Answer:
10% dicount
Step-by-step explanation:
76.50 / 85.00 = .9
The airplane cost 90% of its original value, meaning you have a 10% discount
10% of 85 = .1 x 85 = 8.50
85.00 - 8.50 = 76.50
What is the EXACT circumference of a circle that has a radius of 10 cm? Use "pi" to represent the pi symbol in your answer if necessary. ex. 15 times pi would be written as 15pi. ?
Answer:
62.8
Step-by-step explanation:
c = 2 pi r
c = 2 * 3.14 * 10
c = 62.8
Will be marked brainliest if answered correctly
Answer:
the second one
Step-by-step explanation:
Answer:
Hope that answers your question
Give the answer in simplest form:
3/8 of 48 = n n = _____
Answer: n= 18
Step-by-step explanation: 3/8 of 48 is the same as 3/8 times 48
Answer:
18
Step-by-step explanation:
48 divided into 8 parts is 6
3x6=18
which answer represents the range of the logarithmic function given below f(x)=log0.5x answer it right or i will no five star
Answer: all real numbers
Step-by-step explanation: ur welcome luv
log2 (X^2+3x+2)=1 state the universe and solve each of the following for x.
By "state the universe" I suppose you mean "domain". log₂(x ² + 3x + 2) is defined for
x ² + 3x + 2 = (x + 1) (x + 2) > 0 → x < -2 or x > -1
(To solve the inequality, consider values of x between the ones that make the expression exactly equal to 0, in this case x = -2 and x = -1. We have, for instance, for x = -3, that (-3)² + 3(-3) + 2 = 2 > 0, so x ² + 3x + 2 > 0 for all x < -2.)
Now solve the equation: Write both sides as powers of 2 to eliminate the logarithm on the left:
[tex]\log_2(x^2+3x+2)=1\implies 2^{\log_2(x^2+3x+2)}=2^1\implies x^2+3x+2=2[/tex]
Solve the remaining quadratic:
x ² + 3x + 2 = 2
x ² + 3x = 0
x (x + 3) = 0
x = 0 or x = -3
Both of these solutions are within the presribed domain (-3 < -2 and 0 > -1), so we're done.
Solve the following system of equations by Elimination:
x+6y=−1
x−6y=−13
whats the solution for both ?? help pls
Five friends want to travel on a trip. The bus ticket price is $50 for each friend, and the rooms and meals for everyone will cost $850.
To pay for the trip, friends work in the local shop. Each of them is paid $5 per hour. If each friend works the same number of hours, how many hours must each friend work so that there will be enough money to pay for the entire cost of the trip?
Answer this pls I'm this accounts cousin help me
Answer:
Step-by-step explanation:
Okay so first you need to find out how much money it will cost in total.
$50*5
=$250
$250+$850=
$1,100
Now, $1,100 divided by 5
1,100/5
=220 hours
And there are 5 friends so divide the total amount hours by 5.
220/5
=44 hours
So you see, each friend will need to work 44 hours.
I hope this helped :)
Brainliest? ✨
19
Find the perimeter of the
regular pentagon below.
7x29x 2
Adding subtracting and multiplying geometry applications
Answer:
406
the correct answer this the correct way
student has a container with a volume of
2.5
liters.
He estimates the volume to be
2.3
liters. By what percent is the student's estimate off?
Answer:
8% off
Step-by-step explanation:
.2 off/2.5 total = 0.08
0.08 = 8%
Calculate 3.5% of 140g
Answer:
try 4.9
Step-by-step explanation:
Answer:
3.5 × 140
4.9g
Step-by-step explanation:
solve for e: 5+4e=25
Answer:
e = 5
Step-by-step explanation:
Brookwood High school is considering adding co-ed soccer to the game sports program for the fall season m In order to get an unbiased sample of interest in soccer, who should the school survey
Answer:
hmm
Step-by-step explanation:
SOLVE FOR 15 POINTS !!!
Answer:
Step-by-step explanation:
1) a ) 7x = 56
Divide both sides by 7
7x/7 = 56/7
x = 8
2) 6y = 35
Divide both sides by 6
6y/6 = 35/6
[tex]y= 5\frac{5}{6}[/tex]
[tex]3a) \frac{x}{3}=10\\\\3*\frac{x}{3}=3*10\\\\x = 30\\\\\\\\d) \frac{c}{18}=\frac{1}{2}\\\\18*\frac{c}{18}=\frac{1}{2}*18\\\\c=9\\\\\\f) \frac{n}{8}=\frac{11}{4}\\\\8*\frac{n}{8}=\frac{11}{4}*8\\\\n=11*2\\\\n=22[/tex]
Answer:
1) a ) 7x = 56
Divide both sides by 7
7x/7 = 56/7
x = 8
2) 6y = 35
Divide both sides by 6
6y/6 = 35/6
Step-by-step explanation:
helicopter flies 152 miles in 1 hour 54 minutes. Calculate the average speed.
Answer:
80mph?
Step-by-step explanation:
help you will get brainliest if you are right
Step-by-step explanation:
1-b 2-c 3-d 4-a yep I belive this is correct sorry if I'm wrong
What values of x and y satisfy the system of equations shown below?
3x − 2y = 13 9x − 4y = 35
(3,2)
(2,3)
(3,−2)
(−2,3)
Plz help with this, it's only for 10 points, Don't give me the wrong answer and steal my points or i will report!
Answer:
the correct values are ( 3, -2)
Answer:
(3,-2)
Step-by-step explanation:
x=13/3+2/3y
9x-4y=35
9(13/3+2/3y)-4y=35
y=-2
x=13/3+2/3×(-2)
x=3
What is the result of the following expression? -9.07-(-2.8+1.3)
Answer:
-13.6
Step-by-step explanation:
Open the bracket
-9.07-(-2.8+1.3).
-25.39+11.79
-13.6
Answer:
-7.57
i found the answer by solving the equation in the parenthises, then i subtract the answer i got with -9.07, and thats how i found out the answer is -7.57 (feel free to use a calculator to make sure its correct :D)
six is 3% of what number
Answer:
200
Step-by-step explanation:
y = 8/x
Input
Output
HELPPPPP PLEASEEEE!!!!!Find the Area of the Rectangle:
[Hint! Area of a Rectangle is A=1•w]
3x+1
2x+3
Answer:
62
Step-by-step explanation:
IM NOT SURE I THINK BUT hope this helps :)
If the measure of ZYZX is 25°, what is the measure of ZXYZ?
USATESTPREP
Answer:
130 degrees
Step-by-step explanation:
use protractor and measured angles. Hope i helped you.
Mia is collecting boxes to help her friend move. She found a box that is 4 ft. Wide, 3 ft. High, and 2 ft. Long. How much space would the box take up in the moving truck?
Answer: 24 ft³
Step-by-step explanation:
To calculate the amount of space that the box will take up in the moving truck, we are simply meant to calculate the volume. This will be:
= Length × Width × Height
= 2 × 4 × 3
= 24 ft³
Therefore, the space that the box will take up in the moving truck is 24 ft.