Graph the line containing the given pair of points and find the slope.
(-2, 4), (3, -2,)
Answers
The graph is below :
Related Questions
Solve (x + 5)2 = 48.
Answers
Answer:
x = -5 ±4sqrt(3)
Step-by-step explanation:
(x + 5)^2 = 48
Take the square root of each side
sqrt((x + 5)^2) = ±sqrt(48)
x+5 = ±sqrt(16*3)
x+5 = ±4sqrt(3)
Subtract 5 from each side
x = -5 ±4sqrt(3)
"Write two equations: one parallel, one perpendicular to (5,-2) y= 1/5x-3
Write in the form y=mx±b,y=mx±b (first the parallel, then the perpendicular)"
Answers
Answer:
For parallel:
gradient is 1/5
[tex]y = mx + c[/tex]
consider (5, -2):
[tex] - 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3[/tex]
[tex]{ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}[/tex]
For perpendicular:
gradient, m1:
[tex]m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5[/tex]
gradient = -5
[tex]y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23[/tex]
[tex]{ \boxed{ \bf{equation :y = - 5x + 23 }}}[/tex]
Answer:
Parallel: [tex]y=\displaystyle \frac{1}{5}x-3[/tex]
Perpendicular: [tex]y=-5x+23[/tex]
Step-by-step explanation:
Hi there!
What we must know:
Slope intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slopePerpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, -6/7 and 7/6)Finding the Parallel Line
[tex]y=\displaystyle \frac{1}{5} x-3[/tex]
Given this equation, we can identify that its slope (m) is [tex]\displaystyle \frac{1}{5}[/tex]. Because parallel lines always have the same slope, the slope of the line we're currently solving for would be [tex]\displaystyle \frac{1}{5}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle \frac{1}{5}x+b[/tex]
Now, to find the y-intercept, plug in the given point (5,-2) and solve for b:
[tex]-2=\displaystyle \frac{1}{5}(5)+b\\\\-2=1+b\\-2-1=b\\-3=b[/tex]
Therefore, the y-intercept is -3. Plug this back into [tex]y=\displaystyle \frac{1}{5}x+b[/tex]:
[tex]y=\displaystyle \frac{1}{5}x+(-3)\\\\y=\displaystyle \frac{1}{5}x-3[/tex]
Our final equation is [tex]y=\displaystyle \frac{1}{5}x-3[/tex].
Finding the Perpendicular Line
[tex]y=\displaystyle \frac{1}{5} x-3[/tex]
Again, the slope of this line is [tex]\displaystyle \frac{1}{5}[/tex]. The slopes of perpendicular lines are negative reciprocals, so the slope of the line we're solving for would be -5. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-5x+b[/tex]
To find the y-intercept, plug in the point (5,-2) and solve for b:
[tex]-2=-5(5)+b\\-2=-25+b\\-2+25=b\\23=b[/tex]
Therefore, the y-intercept is 23. Plug this back into [tex]y=-5x+b[/tex]:
[tex]y=-5x+23[/tex]
Our final equation is [tex]y=-5x+23[/tex].
I hope this helps!
PLZZ HELP ME (50 POINTS)
Answers
Answer:
x = w / 57r is the answer
What is the value of 6 (2b-4) When b=5
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Answer:
36
Step-by-step explanation:
Replace the 2b with 10 and then do the parenthesis, so 10-4=6
now multiply it with the 6 outside the parenthesis and you get 36
Hi! I'm happy to help!
First of all, we need to substitute b into the expression.
6(2b-4)
6((2×5)-4)
Now we use the order of operations, or PEMDAS (Parenthesis, Exponents, Multiplication or Division, and Addition or Subtraction) to finish simplifying.
We see that 2×5 is inside two sets of parenthesis, so we solve that first
6((2×5)-4)
6((10)-4)
We cam remove the extra set of parenthesis because there isn't an expression inside of it any more.
6(10-4)
Now, we look inside of the parenthesis again and we see 10-4
6(10-4)
6(6)
The six next to the parenthesis has no sign next to it, which means to multiply.
6×(6)
Now we can remove the parenthesis.
6×6
Now, we just simply multiply.
6×6
36
To sum it up: The value of 6 (2b-4) When b=5 is 36
I hope this was helpful, keep learning! :D
2+3+4+6+6+5+8+9+4+3+5+8+9=
Answers
Answer:
72
Step-by-step explanation:
5,9,15,21,26,34,43,47,50,55,63,72
Answer: it's 72
ok!! hope it helps
Julie has a dog that just had a litter of puppies. She has been observing the puppies for 3 weeks. Her teacher assigned homework that required her to create a scientific experiment. Because she likes the puppies so much she decided to make her experiment about them. Julie wrote a question that she could investigate when she was doing the experiment. Which is an acceptable hypothesis for the experiment?
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Answer:
Step-by-step explanation:
in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill
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What is 5.67 written in standard form?
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Answer:
0.567 X 10
Step-by-step explanation:
5.67 in standard form is 0.567
Find the length of segment GH.
21
12
F
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Answer:
GH = 9
Step-by-step explanation:
FH=FG+GH
21= 12+GH
GH = 21-12 =9
I hope I helped you^_^
A. 5x-2+x=x-4 B. 5x+x=x-4
Answers
B. -4/6
Step-by-step explanation:
5x+x=-4
6x=-4
x=-4/6
Answer:
x= -2/5 or -0.4 x= -4/5 or -0.8Step-by-step explanation:
If you are solving for x then you should get something like this
A 5x-2+x=x- 4 B. 5x+x=x-4
6x-2=-4. 6x=x-4
6x-2-x=-4. 6x-x=-4
5x-2+2=-4+2. 5x=-4
5x/5=-2/5. 5x/5=-4/5
x=-2/5. x=-4/5
I hope this helped you out!
Please help me I don’t understand how to do it. If you can please use a data table to explain how to do it.
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Answer:
The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.
Step-by-step explanation:
Let us have x liters of the .7 mixture and y liters of the .6 mixture.
We want total liters to be 3.5 which means we need x+y=3.5 . I don't like the decimal in the equation so I'm going to multiply both sides by 10: 10x+10y=35
We also need the .7x+.6y=.62(3.5) . I hate the decimal business going on in this question so I'm going to multiply by 1000 which gives 700x+600y=62(35) .
So we have the system
700x+600y=62(35)
10x+10y=35
I'm going to setup this up for linear combination/elimination.
Multiply bottom equation by 60.
700x+600y=62(35)
600x+600y=60(35)
Subtract equations (bottom from top):
(700-600)x+(600-600)y=35(62-60)
Simplify:
100x+0y=35(2)
100x=70
Divide both sides by 100:
x=70/100
x=7/10
Going back to x+y=3.5 along with x=7/10 or .7 liters to find y.
y=3.5-x with x=.7
y=3.5-0.7
y=2.8
The 70% mixture makes up 0.7 liters of the solution whereas the 60% mixture makes up 2.8 liters of the solution.
Pic added.
Another way to do problem:
.7x+.6(3.5-x)=.62(3.5)
Multiply and distribute:
.7x+2.1-.6x=2.17
Combine like terms on left:
.1x+2.1=2.17
Subtract 2.1 on both sides:
.1x=.07
Multiply both sides by 10:
x=0.7 liters
Now the other acid solution is 3.5-0.7 which is 2.8 litera.
Find the coordinates of the point P that lies along the directed line segment from A(-2,5) and B(2,-3) and partitions the segment in the ratio of 4 to 1.
A (1.6, -1.2)
B (1, 4.5)
C (1.2, -1.4 )
D (9, -2)
Part B
Find the coordinates of the point P that lies along the directed line segment from A(-3,-4) and B(5,0) and partitions the segment in the ratio of 2 to 3.
Group of answer choices
(-2.4, 0.2)
(0.2, -2.4)
(-0.2, 0.4)
(-0.4, 6)
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Answer:
help
Step-by-step explanation:
Jordan has $20 to share among three people Jordan types 20÷3 into his calculator and gets 6.666666667 where should Jordan round
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Answer: to the nearest tenth i believe, 6.8
Step-by-step explanation:
The round off should be ones place.
What is Rounding Off?Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.
Given:
20÷3
The resulting value is 6.666666667.
So, divide the money it should be round off to ones place to get a whole number which can make it easy to divide.
Hence, the round off should be ones place = 7
Learn more about rounding off here:
https://brainly.com/question/13391706
#SPJ4
1- Operations with Fractions
2 1/2 - 5/3
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Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{5}{6}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the Problem...}}\\\\2\frac{1}{2} -\frac{5}{3}\\\\----------------\\\rightarrow \text{LCM} (2,3): 6\\\\\rightarrow 2\frac{1}{2}=\frac{5}{2}=\frac{5*3}{2*3}=\frac{15}{6}\\\\\rightarrow \frac{5}{3}=\frac{5*2}{3*2} =\frac{10}{6}\\\\\\\rightarrow \frac{15}{6} - \frac{10}{6}\\\\\rightarrow \boxed{\frac{5}{6}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Matrix addition is shown here.
([3,-2,3],[-5,2,11])=([-5,-4,4],[-4,2,-1])=([m,-6,-2],[-9,7,5])
Enter the value of s
Answers
Answer:
The value of s=10
Step-by-step explanation:
11+(-1)=10
if(2x-y)=4 then (6x-3y)=?
Answers
Answer:
12
Step-by-step explanation:
(2x-y)=4
Multiply the first equation by 3
3*(2x-y)=3*4
6x -3y = 12
what is the 30th square number
plz tell the answer
Answers
Answer:
900
.........................
Answer:
900
Step-by-step explanation:
30 square is like 30×30=900
The coordinates of point T are (0,5). The midpoint of ST is (5,-2). Find the coordinates of point S.
Answers
Answer:
(10, -9)
Step-by-step explanation:
Xs = 5 -(0-5) = 5+5 = 10
Ys = -2 -(5-(-2)) = -2 - 7 = -9
so, the coordinates of point S => (10, -9)
Answer:
S(10, -9)Step-by-step explanation:
Use midpoint formula and assume S(x, y):
(0 + x)/2 = 5 ⇒ x / 2 = 5 ⇒ x = 10(5 + y)/2 = -2 ⇒ 5 + y = -4 ⇒ y = -4 - 5 ⇒ y = -9Matrix addition is shown here.
-5 -4 t
W -6 -2
3 -2 3
+
-5 z 11
=
21
-4 2-1
-9 7 s
Enter the value of s, t, w and z
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Answer:
I haven't learned matrix sorry
from 8 abc subtract abc. from 8 abc subtract 8
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Solve for h. s=6πsh+6πs²
I got h=1/6π-s but it says the answer is correct but the format is not, ideas?
Answers
Answer:
Try h=(1-6πs)/6π
Step-by-step explanation:
That's the same answer in another format
Given that LMN and PQR are
complementary angles, find the measures
of the angles if the m LMN = 8x + 1 and
the m PQR = 2x + 9.
Answers
Answer:
∠ LMN = 65° , ∠ PQR = 25°
Step-by-step explanation:
Complementary angles sum to 90°
∠ LMN + ∠ PQR = 90° , that is
8x + 1 + 2x + 9 = 90
10x + 10 = 90 ( subtract 10 from both sides )
10x = 80 ( divide both sides by 10 )
x = 8
Then
∠ LMN = 8x + 1 = 8(8) + 1 = 64 + 1 = 65°
∠ PQR = 2x + 9 = 2(8) + 9 = 16 + 9 = 25°
Is [tex] \frac{1}{ \sqrt{5} } [/tex] a rational or a non-rational number
Answers
Answer:
yes it is a rational number..
1/root 5 = root 5/5(multiplication of root 5 on numerator and denominator
ans all these questions please
Answers
Explanation:
a). 7(2x - 3)
= 7(2(4) - 3)
= 7(8 - 3)
= 35
b). (x + y)^2 - 3x
= (4 + 3)^2 - 3(4)
= 49 - 12
= 37
a). 2x x y
= 2(26) x 3b^2
= 52 x 3b^2
= 156b^2
b). mn/k
= 5a^5b x 4ab^3/10a^4b^3
= 20a^6b^3/10a^4b^3
= 2a^2
Answer:
the answer is in picture
What’s the answer for 5g=20
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The ratio of red beads to blue beads on a necklace is 4:7. What fraction of the beads are blue?
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Answer:
fraction of blue beads = 7/(4+7)
= 7/11
Answer:
3:5
Step-by-step explanation:
find a common numeral
4. 2) 836
does anyone know this?
Answers
Answer:
418
Step-by-step explanation:
2) 836 = 836/2
=418
•°•2) 836=418
Answer:
836/2=418,Hope it helps.
In a survey of mobile and telephone, it was found that 200 people had telephone, 25
had both, 135 did not have telephone and 300 did not have mobile.
i. How many people participated in the survey?
ii. How many people had mobile only
Answers
Answer:
a)660
b)135
Step-by-step explanation:
a)200+25+135+300=660
b) 135 because since 135 do not have telephone, they will have mobile instead.
Hope this helps! Thanks.
INSTRUCTIONS: This is a numerical series. Find the missing item
10.0.18 0.36 0.72|?|2.88
A. 0.9
B. 1.26
C. 1.44
D. 1.62
Answers
Answer: C. 1.44
Step-by-step explanation:
Each number gets multiplied by 2, so it's an exponential series in a way.
You must multiply .72 by 2 to get 1.44.
a cylindrical barrel contains 42 gallons of oil the diameter is 18 inches. determine the radius of a barrel in centimetres
Answers
18 = 2*radius
Radius =18/2 =9 inches