Answers
Answer:
y = - 2x - 10
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 )
y = [tex]\frac{1}{2}[/tex] x - 8 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute (- 3, - 4) into the partial equation
- 4 = 6 + c ⇒ c = - 4 - 6 = - 10
y = - 2x - 10 ← equation of perpendicular line
Step-by-step explanation:
Hey there!
The 1st equation is;
y= 1/2 x-8.............(i)
Comparing the equation y= mx+c. We get;
Slope (m1) = 1/2
The equation of point which moves through point (-3,-4).
(y-y1) = m2 (x-x1). {Use one-point formula to find out the equation}
(y+4) = m2 (x+3)..………(ii)
Now, we need to find m2.
So, the condition of perpendicular lines: m1*m2= -1.
[tex] \frac{1}{2} \times m2 = - 1[/tex]
[tex]m2 = - 2[/tex]
Therefore, m2 = -2.
So, let's keep value of m2 in eqaution (ii).
y+4 = -2(X+3)
y+4 = -2x-6
y = -2x -10.
Therefore, the eqaution is y= -2x-10.
Hope it helps......
Related Questions
c) The area of a rectangle is 80 cm² and it is 8 m broad.In process
(i) Find its length (ii) Find its perimeter
11
Answers
Answer:
i) the length is 10cm
ii) the perimeter is 36 cm
Step-by-step explanation:
i) We know that Area of a rectangle can be found by using the following formula...
A = l x w
(where A is area of the triangle, l is the length of the triangle, and w is the width of the rectangle).
From this we know that
l = A/w
[tex]l = 80cm^{2} / 8cm = 10cm[/tex]
ii) Now that we know both the length and the width we know we can find the perimeter by using the following formula...
P = 2(l + w)
[tex]P = 2(10cm+ 8cm )\\P = 20cm + 16cm\\P = 36cm[/tex]
What is the equation of the line that passes through the points (2, –1) and (6, 1)?
Answers
Answer:
y = 2/4x -2
Step-by-step explanation:
What are the coordinates of the point (-3,4) after a translation of 2 units down and 5 units left
Answers
Answer:
(-8, 2)
Step-by-step explanation:
Start with (-3, 4). Subtract 5 units from -3, obtaining -8, and subtract 2 units from 4, obtaining 2: (-8, 2)
Graph y = -1⁄3 x + 5 using the slope and y-intercept pls help
Answers
y-int: (0,5)
Please help this is due in less than an hour. WILL GIVE BRAINLIEST!!!!!!!!!
Answers
Answer:
2nd option
Step-by-step explanation:
X are all whole numbers which are integers
and Y is bigger than X
ex: 0(x) and 4(y)
4 is bigger than 0
Which one of these transformations would produce an image that is not congruent to its pre-image? (4 points)
A translation of (x − 1, y − 3)
A rotation of 90 degrees about the origin
A rotation followed by a translation
A dilation followed by a reflection
Answers
Answer:
A dialation followed by a reflection
Step-by-step explanation:
When you dialate a shape it changes the size which makes the shape similar but not congrouent.
The option “a dilation followed by a reflection” will produce an image that is not congruent to its pre-image option, fourth is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
As we know, the translation will shift the object.
If rotate the image with 90 degree about origin will change the orientation of the image but shape will remains same.
A dilation followed by reflection will change the image because the transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller.
Thus, the option "a dilation followed by a reflection" will produce an image that is not congruent to its pre-image option fourth is correct.
Learn more about the geometric transformation here:
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if m=7 then what is 5m-6
Answers
Answer:
29
Step-by-step explanation:
5(7)-6
35-6
29
Explanation: you substitute m with 7, so
5(7)-6
5 • 7 = 35
35 - 6 = 29
Jan 16, 3:12:20 PM
Subtract 3.x2 + 8x from 9x2 + 3x – 8.
Answers
Answer:
Step-by-step explanation:
ok so do this
9x² + 3x - 8 - (3x² + 8x)
distribute the negative sign
9x² + 3x - 8 - 3x² - 8x
simplify
6x² - 5x - 8
hope this helps <3
help? i cant understand
Answers
00:00
Mr. Herr pays $9 for 2.5 pounds of chicken at the grocery store. What is the cost per pound?
Answers
Answer:
3$
Step-by-step explanation:
What is the distance between the points (3,7) and (15, 16) on a coordinate plane? O A. 15 units O B. 17 units O C. 21 units O D. 13 units SUBMIT ans fr apx is 15 units
Answers
Cydni is working with some algebra tiles at her desk. She makes groups of tiles like the ones below. Which expressions represent the sum of the tiles that Cydni has arranged on her desk? help
Answers
Answer:
3x+9
Step-by-step explanation:
If it’s multiple choice the other one is
x +1+1+1+x +1+1+1+ x +1+1+1
I hope this helps!
Help please ?????? I don't understand
Answers
Answer:
It's going up by a difference of 70, & 2.
Step-by-step explanation:
What are all the roots of the equation x^4 + 2x^3 = 13x^2 - 10x ?
Answers
try practicing with different examples
Alex runs at an average speed of 10 km per hour for 1 hour 30 minutes. What distance does he run?
Answers
Answer:
15 km?
Step-by-step explanation:
10 km per hour for one hour is 10km. plus the half hour, half of the distance 5km is just 15km
One week, Paige earned $165.75 at her job when she worked for 13 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $318.75?
Answers
Answer: 25 hours
Step-by-step explanation:
From the question, we are informed that Paige earned $165.75 at her job when she worked for 13 hours. This means that her hourly rate will be:
= $165.75 / 13
= $12.75.
The number of hours that she would have to work the next week to earn $318.75 will be:
= $318.75 / $12.75
= 25 hours
HELP!! Mr. Posey is buying a baseball bat that normally cost $160. It is now on sale for 24% off. If sales tax is 10%, how much will he pay for the baseball bat?
Answers
Answer:
he will pay $133.10
Step-by-step explanation:
Ap ex: What is the solution to this system of equation?
y = x - 4 y = -0.5x + 8
a. (4,2)
b. (8,4)
c. (4,8)
d. (2,4)
Answers
Answer:
x = 8, y = 4
Step-by-step explanation:
y = x - 4
y = -0.5x + 8
y = y
x - 4 = -0.5x + 8
x + 0.5x = 8 + 4
1.5x = 12
x = 12/1.5
x = 8
To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)
y = (8) - 4
y = 4
OR
y = -0.5(8) + 8
y = -4 + 8
y = 4
write the equation of the line passing through points (2,-2) and (1,0) in the slope intercept form
Answers
Answer:
y=-2x+2
Step-by-step explanation:
Just follow the slope-intercept form formula-
Formula: y=mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Let me know if you have any questions, hope this helps! (:
Step by step explanation
Answers
Answer:
[tex]\huge\boxed{\tt{Slope = 0}}[/tex]
Step-by-step explanation:
[tex]\sf (x_{1},y_{1} ) = (6,-5)\\\\(x_{2},y_{2}) = (1,-5)[/tex]
[tex]\sf Slope = \frac{y_{2}-y_{1}}{x_{2}-x{1}} \\\\Slope = \frac{-5-(-5)}{1-6} \\\\Slope = \frac{-5+5}{-5} \\\\Slope = \frac{0}{-5} \\\\Slope = 0\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807She ran 52.16 seconds per 400 meters how many seconds did it take her to run 100 meters?
Answers
Answer:
13.04
Step-by-step explanation:
since 100 is 1/4 of 400, you divide 52.16 by 4
What is 352 beats in 4 2/5 minutes please help and tell me step by step please
Answers
Answer:
352/4.4 =80
Got it?
Please give me Brainly
Can someone help me pleas
Answers
Answer:
2)6h+9c+6
Step-by-step explanation:
3(2h+3c+2)
3*2h=6h
3*3c=9c
3*2=6
6h+9c+6
If p = 2ak², find p when a = -1 and k = 3.
a. -18
b. 18
c.-6
d.6
Answers
Answer:
0.5
3.1
16 %
Step-by-step explanation:
The chosen topic is not meant for use with this type of problem. Try the examples below.
Which set of ordered pairs below is a function?
I. {(3, 3), (6, 1), (2, 3)}
II. {(4, 7), (2, 8), (4, 2)}
III. {(9, 6), (3, 1), (7, 3)}
Answers
Can any kind soul help me ASAP
The blue is the shaded region
Answers
Answer:
200π/3 cm^2
Step-by-step explanation:
The answer is explained in the above photo
What criteria must a polygon meet to be considered inscribed in a circle?
Help ASAP!!
Answers
he criteria for polygon inscribed in a circle is every vertices are points on the circle and all sides are included within the circle.
What is the polygon?Polygon is "any two closed curve consisting of a set line segments connected such that no two segments connected".
According to the question,
A polygon is inscribed in a circle if its all vertices are points on the circle and all sides(Edges) are included within the circle. All regular polygon can be inscribed in a circle. The center of an inscribed polygon is also the center of the circumscribed circle.
Hence, the criteria for polygon inscribed in a circle is every vertices are points on the circle and all sides are included within the circle.
Learn more about Polygon here
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The internal measures of a cuboidal room are 9m, 5m and 6m respectively. Find the total cost of
whitewashing all four walls of a room, if the cost of white washing is ₹ 5 per sq.m. What will be the cost of white washing if the ceiling of the room is also whitewashed.
Answers
Answer:
₹ 1290Step-by-step explanation:
The total surface area of the room = 2(LW + WH + LH)
TSA = 2(9*5 + 9*6 + 5*6)
TSA = 2(45 + 54 + 30)
TSA = 2(129)
TSA = 258
Hence the total surface area of the room is 258m²
If 1m² = ₹ 5
258m² = 5(258) = ₹ 1290
The cost of white washing if the ceiling of the room is also whitewashed is ₹ 1290
If angle A is 80 degrees, Angle B is 50 degrees, and Angle C is 10X. What is the value of “X”?
Answers
Answer:
x=5
Step-by-step explanation:
the sentimental thing is that Jen's mother is the most common person in a row with
Three times a day, Dylan mixes 2 ounces of protein powder into a shake. How many days can he make all three shakes from his 5-pound container of protein powder? Remember, there are 16 ounces in a pound. Enter your answer in the box.
Answers
Answer:
13 days
Step-by-step explanation:
To calculate this we first need to find the total number of ounces in the container. We do this by multiplying the total number of pounds in the container by 16oz
5 * 16oz = 80oz
Since Dylan is making three 2oz shakes per day that would mean he is using a total of 6oz (2oz*3) per day. Therefore, in order to find out how many days the container will last we simply divide the total amount of protein powder in the container by the amount he uses every day.
80oz / 6oz = 13.33 days
The container will last 13.33 days but since we cannot count a percentage of a day, then we need to round down to the day in which he will no longer be able to make the three shakes which are 13 days.
Answer:
13
Step-by-step explanation:
no