Answers
Answers:
Parallel slope = 2; Perpendicular slope = -1/2Parallel slope = 1/3; Perpendicular slope = -3Parallel slope = 4/3; Perpendicular slope = -3/4Parallel slope = -2; Perpendicular slope = 1/2Parallel slope = 2/3; Perpendicular slope = -3/2Parallel slope = -4; Perpendicular slope = 1/4Parallel slope = 4; Perpendicular slope = -1/4Parallel slope = 3; Perpendicular slope = -1/3Parallel slope = 1/4; Perpendicular slope = -4Parallel slope = 1/2; Perpendicular slope = -2Parallel slope = -3; Perpendicular slope = 1/3Parallel slope = 3/4; Perpendicular slope = -4/3Parallel slope = -1/3; Perpendicular slope = 3Parallel slope = -1/2; Perpendicular slope = 2Parallel slope = -1/4; Perpendicular slope = 4Parallel slope = -3/4; Perpendicular slope = 4/3Parallel slope = -3/2; Perpendicular slope = 2/3Parallel slope = -4/3; Perpendicular slope = 3/4=====================================================
Explanation:
Parallel lines always have equal slopes, but different y intercepts. For example, the two lines y = 3x+5 and y = 3x+7 have a slope of 3. Refer to y = mx+b where m is the slope. Parallel lines never intersect.
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For perpendicular lines, the two slopes always multiply to -1 assuming neither line is vertical nor horizontal. Consider the two linear equations
y = (1/2)x+5
y = -2x-7
The slopes 1/2 and -2 multiply to -1 which is enough to show that they are perpendicular lines. The two lines meet at a 90 degree angle.
To go from one slope to the other, we apply the negative reciprocal. That means we...
flip the fractionflip the signApplying the first step to 1/2 gets us 2/1 or 2. Then changing the sign has us go from 2 to -2. This process can be reversed.
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For some of these equations, you'll need to rearrange things into either point-slope form or slope intercept form. This will allow you to read off the slope.
Point slope form is y-y1 = m(x-x1)
Slope intercept form is y = mx+b
For either case, all we care about is the variable m.
I'll show how problem 14 transforms into slope intercept form
x+2y = 14
2y = -x+14
y = (-x+14)/2
y = (-x/2) + (14/2)
y = (-1/2)x + 7
We see that m = -1/2 here. Anything parallel to this will have the same slope. The perpendicular slope is 2 after applying the negative reciprocal operation. Problems 13, 15, 16, 17, and 18 are going to follow similar steps.
Related Questions
I need help fast please
Answers
Answer:
i think 2nd one is true....f(-2)=g(-2)
Answer:
A is correct: [tex]f(0)=g(0)[/tex]
Step-by-step explanation:
To find this answer, we first must identify what [tex]f(x)[/tex] and [tex]g(x)[/tex] means.
[tex]f(x)[/tex] shows the y value of the line at the specified x value.
[tex]g(x)[/tex] shows the y value of the line at the specified x value.
So in order to solve this problem, we must look at each of the options and see which one is true.
If we take a look at the first option...
[tex]f(0)=-2[/tex] in this example and [tex]g(0)=-2[/tex] as well.
[tex]-2=-2[/tex] and therefore, option A is correct.
Find the value of 5w+1 given that 7w-7=7.
Answers
Answer:
lets find the exact value of w
7w - 7 = 7
+7 +7
7w = 14
/7 /7
w = 2
Now let's replace w with 2
5(2) + 1 = 11
Each graph shows two polygons ABCD and A'B'C'D'. In each case, describe a sequence of transformations that takes `ABCD` to `A'B'C'D'.`
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B. Rotated 90 degrees clockwise
10, 17, 24, 31, 38
First term:
Common difference:
Answers
Answer:
7
Step-by-step explanation:
because if you add 10+7 17 17+7=24
Common difference: 7
17-10 = 7 24-17 = 7 so the common difference is 7
I NEED HELP ASAP NO LINKS !!!
Which expression represents this word phrase?
five more than the product of x and 6
6x + 5
5(x + 6)
(x + 6) + 5
5x + 6
Answers
You would add 5 to 6x
how to solve
-3(m-2)= -9
Answers
Answer:
-3m+6=9
Step-by-step explanation:
-3m=3
Divide by -3
m=-1
Answer:
5
Step-by-step explanation:
expand: -3m - -6 = -9
-9 + -6 = -15
-3m = -15
-15 / -3 = 5
m = 5
The price of a pair of shoes was reduced from $20 to $14
By what percentage was the price of the shoes reduced?
A. 6%
B. 70%
C. 43%
D. 30%
PLEASE HELP AND HURRY
Answers
Answer:
6%
Step-by-step explanation:
step by step
$20 to $14
we subtract
20-14
=6
Answer:D.30%
Step-by-step explanation:
-10x + 35 + 5x=-5x + 20 (I need a step by step solving/ Show your work)
Answers
Answer: Answer in Photo
An investment firm invested in two companies last year. They invested \$7000 in Company A and made a profit of 13%. They invested \$13,000 in Company B and made a profit of 18%. Answer the questions below. Do not do any rounding . (a) What was the investment firm's total profit? (b) What was the percent profit for their total investment?
Answers
Answer:
a) $3250
b) 31%
Step-by-step explanation:
a) 910 + 2340 = $3250
b) 18 + 13% = 31%
1/4 divided by 8
PLEASE HELP
This is also in fractions my other ones got ban because I wasn’t obvious so here
PLEASE HELP IS NEEDED
Answers
Answer:
1/2
Step-by-step explanation:
Answer:
0.03125
Step-by-step explanation:
just put in the calculator (1/4)/8 and your answer should be 0.03125!! hope I helped you!!!! :)
A composite shape is shown.
6 cm
4 cm
1 cm
2cm
7 cm
To the nearest hundredth, what is the area of the shape? Use 3. 14 as an approximation for 2. Enter the answer in the box.
1cm²
Answers
Hold on, our servers are swamped. Wait for your answer to fully load. Step-by-step explanation:
Last oneeeee HELPPP
Answers
76y = 19
Divide both sides by 76
y = 19/76
Simplify 19/76 by dividing by the GCF of 19 and 76, which is 19. 76 divided by 19 is 4.
y = 1/4
Hope this helps!! :)
Can y’all help me with this one too
Answers
Answer:
8 mm
Step-by-step explanation:
the total length of the rod is 330, it's asking how many individual Rods cut at the length 41 1/4 which in decimal form is 41.25,, 330/41.25 = 8. anytime a question asks you how many of something can be obtained at a length just divide from total !
Ayuda con esto vale 7.5% de la nota doy 15 puntos
Answers
Answer:
dagdagan mo hoy daya
Step-by-step explanation:
1733
Calculate the length between the following
points using the distance formula.
Help please
Answers
Answer:
S^2 = ((9 - (-3))^2 + ((3 - (-2))^2 = 12^2 + 5^2 = 169
S = (169)^1/2 = 13
round to the nearest hundredth if necessary $4.99 for 13 lb
Answers
Answer:2.81
Step-by-step explanation:
I'm also stuck on this one! Help!
Answers
Answer:
a = 58
Step-by-step explanation:
90-32=58
HOPE THIS HELPS :)
Which line segments have a positive slope?
Answers
Answer:
CD and EF .....................
Ratios, Rates, and Circles Solve each problem. Show your work. Sierra has a pet Burmese python. It has grown too large for its enclosure and needs a new one. The rectangular base of the current enclosure has the length and width shown. Sierra decides to buy a larger enclosure that is a scale copy of the small one. The base of the new enclosure is 48 inches long. What is the perimeter of the new base?
Answers
Answer:
144in
Step-by-step explanation:
METHOD 1:
18 - 36
x - 48
36x = 18 * 48
36x = 864
x = 24
ALTERNATIVE METHOD:
18:36 (breadth:length)
1:2
When the length is 48in, the breadth is half the length, hence, the breadth is 24in.
Final Solution:
So, when the base is 48in, the width is 24in.
Since we have the two values
P = 2(l+b)
= 2(48+24)
= 2 * 72
= 144in
Feel free to mark this as brainliest! :D
What's the slope of this line?
Answers
my bad i read it wrong hold up
3. what equation passes through the 2 points
(0, 4) and (9, 10)
Answers
____ = slope
x2 - x 1
10-4
—— = 6/9 = 2/3
9-0
10 = 2/3 (9) + b
10 = 6 + b
b = 4
put it all together!
y=2/3x + 4
The measures of the angles of a triangle are shown in the figure below. Solve for X.
75°
(7X+14)
49°
Answers
Answer:
Answer:x =6
Answer:x =6Step-by-step explanation:
Angle in a triangle is 180
75+ (7x+14) +49 =180
75+ 49+ (7x+14)= 180
124+ (7x+ 14) = 180
124+ 14 +7x= 180
138+7x = 180
7x =180- 138
7x=42
x= 6
May I please receive help?
Answers
Answer:
[tex]\frac{4}{9}[/tex]
[tex]-\frac{9}{4}[/tex]
Step-by-step explanation:
First, solve the equation for y to find the slope of the original line. When you solve for y you get [tex]y=-\frac{9}{4}x+2[/tex]. Since the coefficient of x in slope-intercept form is the slope, -9/4 is the slope of this line.
Perpendicular lines have the opposite slope, so if the slope is a/b then the perpendicular slope is -b/a. Since the slope is -9/4, the perpendicular slope is 4/9.
Parallel lines have the same slope. So, the slope is the exact same, -9/4.
PERSON WILL GET 50+ POINTS IF CORRECT
Answers
The circumference C of a circle is found with the formula C=2(3.415)r
Answers
Answer:
You are correct! :)
Extra tip:
It can also be written like 'C = 2πr' and that works just as well!
Answer:
circumference=2πr formula 2×22/7×r
which of the following expressions is equal to -x^2-81
Answers
Answer: it is going to be answer a
Find the measure of an angle whose complement is five times its measure.
The measure of the angle is?
Answers
Answer:
The measure of the unknown angle is 15°.
Step-by-step explanation:
Represent this angle by A. Then the complement of A is 90° - A.
"Angle whose complement is five times its measure" would be expressed as
90° - A = 5A
Solve this for A by adding A to both sides:
90° = 6A. Then A = 90°/6, or 15°
If a line has slope -4/3 and passes through the point (-3, 7), what is the y-intercept of the
line?
Answers
Answer:
y- intercept = 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{4}{3}[/tex] , then
y = - [tex]\frac{4}{3}[/tex] x + c
To find c substitute (- 3, 7 ) into the equation
7 = - [tex]\frac{4}{3}[/tex] (- 3) + c
7 = 4 + c ⇒ c = 7 - 4 = 3 ← y- intercept
6 x ( 7 x 3 - 3^2) - 6
help me pleasee
Answers
Answer:
I think 66 is correct answer
Answer:
66
Step-by-step explanation:
Thank You! Please thank me. Also I answered your question "what is input/output of TV"
If Ashley deposits $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?
Answers
If you deposit $8000 into an account paying 7% annual interest compounded quarterly, how long until there is $12400 in the account?
The formula for deducing Compounded Annual Growth rate, CAGR = {( EV / SV)^1 / n} - 1
where:
EV = Investment's ending value
SV = Investment's starting value
n = Number of investment periods (months, years, etc.)
If you rearrange the formula for deducing the time period required.
SV = $8000
EV= $12400
Total appreciation = (EV-SV)*100%/SV = 64.52%.
At CAGR of 7%, the time required for any value to appreciate 64.52% is 6 years and 6 months
Step-by-step explanation:
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