State the equation of the line described.
A line passes through the point (-2,8) and is perpendicular to the line y = -3x + 3.
thank you guys!
Answers
Answer:
y = mx + b
Since it is perpendicular to the given line, its slope is the negative reciprocal of the slope of the given line.
Slope of given line:
m0 = -a/b = -(-3) / (1) = 3
Slope of perpendicular line:
m = -1/3
y = (-1/3)x + b
Use the given point to find b.
2 = (-1/3)(3) + b
2 = -1 + b
b = 3
y = (-1/3)x + 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Perpendicular lines have their slope negative reciprocal
y= -3x +3 has the slope -3
y = (1/3)x +b is the line that is ⊥ so it has the slope (1/3)
The line passes trough the point (x=-2, y=8) so substitute the x and y to find b
8 = (1/3)(-2) +b, multiply (1/3)(-2) = -2/3 and add 2/3 on both sides
8+(2/3) = b, find the common denominator and add the fractions
[(3*8)+2 ]/3 =b
(26/3) = b
The equation of the line described is y= (1/3)x +(26/3)
Related Questions
A motorcycle travels at a rate of 55 miles per hour for 4 hours. Let y be the distance, in miles, the motorcycle travels for a given amount of time, x, in hours. This situation can be modeled by a linear function. What is the domain of the function?
Answers
Answer:divide 55 by 4
Step-by-step explanation:
SHOPPING Steven is saving to buy a new television. If he has saved $1400, or four-fifths of the cost of the television, what is
television?
O A $350
OB $1120
O c $1400
OD $1750
Answers
Answer:
A. 350 ( A fifth of the cost for the television)
D. The cost of the television 1,750
Step-by-step explanation:
350 x 4 = 1,400
1,400 + 350 = 1,750
PLS HELP WILL MARK BRAINLEST!!
Answers
Answer:
interior angles of a quadrilateral= 360° (angle sum property
90°+90°+x+(x-42)= 360°
× + (x-42) = 180°
2x = 222°
x = 111°
x - 42 = 69°
WILL MARK BRAINLEIST
Answers
Answer:
Step-by-step explanation:
a^2 + b^2 = c^2
3.2^2 + b^2 = 18.9^2
10.24 + b^2 = 357.21 Subtract 10.24 from both sides
b^2 = 357.21 - 10.24
b^2 = 346.97
sqrt(b^2) = sqrt(346.97)
b = 18.62
Perimeter = 2*a + 2*b
Perimeter = 2*3.2 + 2*18.62
Perimeter = 6.4 + 37.25
Perimeter = 43.65
solve the simultaneous equation
3x + y = 8
x - 3y = 11
Answers
Answer:
x = 7 / 2, y = - 5 / 2
Step-by-step explanation:
3x + y = 8 ------> equation 1
3 ( 3x + y = 8 )
9x + 3y = 24 ------> equation 2
x - 3y = 11 ------> equation 3
Add equations 2 & 3,
9x + 3y = 24
x - 3y = 11
_________
10x + 0 = 35
10x = 35
x = 35 / 10
x = 3.5
Substitute x = 3.5 in equation 1,
3x + y = 8
3 ( 3.5 ) + y = 8
10.5 + y = 8
y = 8 - 10.5
y = - 2.5
x = 3.5
= 35 / 10
x = 7 / 2
y = - 2.5
= - 25 / 10
y = - 5 / 2
In the fig.BD || EG and x= 125˚ . Identify the angle property used.
Answers
Answer:
corresponding angles
Step-by-step explanation:
F = C so x = 125.
What % of 140 is 84?
Answers
I hope this helps! If can please mark brainiest.
ANSWER:
[tex]60[/tex]
Complete the table of values for y = - x2 - 6x - 4
Choose five x values so that you accurately show its shape and plot the points
on the graph provided. These should include the turning point and points around it.
8
х
-2
-1
0
1
2
6
у
Х
Х
Х
Х
4
[10]
2.
Drag the crosses to the
correct points on the graph.
X
0
-4
-2
2.
4
[5]
-2
Answers
Answer:
x= -2 —> y= 4
x = -1 —> y = 1
x = 0 —> y = – 4
x = 1 —> y = – 11
x = 2 —> y = – 20
I hope I helped you^_^
how to solve step by step
P=2(l+w), solve for w. [hint: isolate w]
Answers
P/2=I+w
W= p/2 - I
Can someone plss help me with this!!
QUESTION: b(a-6)
Answers
Answer:
5 – 6 (b + 1) = 5 + ( – 6 ) × b + (– 6) × 1 = 5 – 6b – 6 = – 6b – 1. Example 1: Simplify: 5(a – 4) + 3 = 8.
explanation: your welcome
Step-by-step explanation:
what do you mean ? you need to multiply this out ? or what is the problem ?
just to multiply this :
b(a-6) = ba - 6b
or with full symbols for operations
b×(a-6) = b×a - 6×b
what is the answer to 3x-33=3
Answers
Answer:
12
Step-by-step explanation:
please help me to solve problems
Answers
Step-by-step explanation:
a.= 6
c.=7
f.=3
i only know this
Please please help
Provide the missing statement and reasons for the following proof:
Given: 9(x−6)+41=75Prove: x=889
Given:
9
(
x
-
6
)
+
41
=
75
Prove:
x
=
88
9
Answers
Step-by-step explanation:
Statement. Reason
→ 9(x-6)+41 = 75. Transposing the like terms.
→ 9(x-6) = 75 - 41 Performing subtraction of the term in RHS
→ 9(x-6) = 34 Performing multiplication in LHS.
→ 9x - 54 = 34 Distributive property
→ 9x = 34 + 54 Performing addition of the term in RHS.
→ 9x = 88. Now, transpose 9 from LHS to RHS , it's arthmetic operator will get changed.
→ x = 88/9
Consider the linear function f(x)=4x -5.
Find f(3), f(0), f(-2).
Answers
Answer: f(3)= 7, f(0)= -5, f(-2)= -13
Step-by-step explanation:
Substitute and plug in.
For f(3), we plug in 3 for x in the equation.
So, 4(3)-5, which is just 12-5, which is 7
We do the same for f(0),
4(0)-5, which is 0-5, which is -5
Once again for f(-2),
4(-2)-5, which is -8-5, which is -13
Hope this helps!
Solve for the partial products then the product. numbers 1 and 11 are don for you
Answers
Answer:
3. 100 + 100
5. 1000 + 310
7. 400 + 16
2. 300 + 24
ight that all I can do for you right now
Step-by-step explanation:
(a) If one endpoint is A(-5, 4) and the other
endpoint is B(0, -3), then find the midpoint of
line segment AB?
(b) The coordinates of the endpoints of directed
line segment AMB are A(-5, 4) and B(0,-3). If
AM:MB = 1:1, coordinates of Mare?
Answers
PLS help it’s due tomorrow I’ll give brainless
Answers
2y=-3x+8
y=(-3/2)x+4
The slope of the line that is perpendicular to this is 2/3
The perpendicular line passes through the y-intercept of this line, which is 4
The equation of the perpendicular line is:
y= (2/3)x+4
can yall help me I really need this done.
Thank you much love
Answers
Let's use the furthest left point on the triangle to figure out the translation.
Blue triangle = (-5,1)
Black triangle = (-3,-1)
To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.
To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.
Rule: {2, -2}
Hope this helps!
this is an urgent call for help plz help me im kinda lost on this
Answers
Answer:
Step-by-step explanation:
so go to the f g c and multiply my 6
if p:q = 1/3:2 and p:r = 1/2:3/4 calculate the ratio p:q:r
Answers
Answer:
p:q=1/3:2=1:6=3:18
p:r=3/4:1/2=3:2
p:q:r=3:18:2
i hope its help to you ✌
The students were helping decorate a bulletin board for the missionary conference. Christi use 5/16 of a roll of blue paper and sandy used 1/8 of the roll. How much more paper did Christi use than sandy?
Answers
Answer:
Christi used 3/16 more of the roll than Sandy did.
Step-by-step explanation:
First, you'll need to make the denominators the same. I htink it's called GCF or Greatest common factor.
16:16,32...
8:8,16...
That was quick, anyways now perform these equations:
1/8=8 x 2 = 16, 1 x 2 = 2
1/8 is now 2/16. Now you can easily compare the equations.
Since 5/16 already has 16 as it's denominator you make no changes to it.
5/16 - 2/16 = 3/16
now you can simplify your answer: 3/16 = 3/16 it's already at it's simplest form.
Your answer would be 3/16.
A submarine travels 8.3 km due North from its base and then turns and travels due West for 13.9 km.
How far away is the submarine from its base?
Give your answer rounded to 1 DP
Answers
Answer:
He is 5.6 km away
Step-by-step explanation:
he starts traveling away from base and is 8.3 km away to start with
then he turns west and travels 13.9 km away
what this mean is that you have to subtract the distance he turned from the distance he started off with
ex: 13.9 - 8.3 = 5.9
to get your answer of how far away he is from the base
pls help me i will brainliest u if u answer it correct
Answers
Answer:
1. D
2. A
3. B
4.C
5. D
6. B
7. B
8.D
9. B
10. A
11. B
12. A
13. C
14. C
15. A
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs
$3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax.
The restaurant only sells pancakes in stacks of 4 pancakes for $5.50.
1) Which inequality describes this scenario?
Let S represent the number of stacks of pancakes that Benjamin buys. What is the largest number of pancakes that Benjamin can afford?
Answers
Answer:
3.25 + 5.50S is less than or equal to 30
In ∆ABC , if AB = AC and ∠B=80° then ∠C is equal to
a) 20° b) 40° c) 60°
Answers
Answer:
Here,
given, angle B = 80 degree
in ABC triangle, AB = AC
that means angle B = angle C
so angle C must be 80 degree
Step-by-step explanation:
I guess, the options are wrong
or,
may the question asked for angle angle A
which will be = 180- (80+80) = 180 - 160 = 20 degree (option a)
2. Lilly and Laura pooled their money to purchase
their brother, Liam, a video game for his birthday.
The video game cost a total of $45. If Laura was
only able to contribute 2/3 of what Lilly did, how
much did Laura put toward the present?
F. $18
G. $21
H. $24
J. $27
K. $30
(Retyped)
Answers
Multiply 45 x 2 then divide by 3.
:)
Laura put $18 toward the present. Therefore, the correct answer is F. $18. Let's use variables to represent the amounts that Lilly and Laura contributed.
Let L be the amount Lilly contributed and 2/3L be the amount Laura contributed.
According to the information given:
L + 2/3L = $45
To solve for L, combine the terms with L:
1L + 2/3L = $45
To combine the fractions, find a common denominator:
(3/3)L + 2/3L = $45
Now, the fractions have a common denominator:
(5/3)L = $45
To isolate L, divide both sides by 5/3:
L = $45 / (5/3)
To divide by a fraction, multiply by its reciprocal:
L = $45 * (3/5)
L = $9 * 3
L = $27
So, Lilly contributed $27.
Now, to find how much Laura contributed:
Laura's contribution = 2/3L = 2/3 * $27 = $18
To know more about Laura:
https://brainly.com/question/15453751
#SPJ2
Please solve this equation
Answers
Answer:
125
Step-by-step explanation:
3 − 8 x = 8 5 x , written as a decimal
Answers
Answer:
5/16
Step-by-step explanation:
10+10+10+10-10-10-10-10-10-10-10-10-10-10-9
Answers
Answer:
-69
Step-by-step explanation:
40-100-9
Answer:
9
Step-by-step explanation:
Evaluate the expression when m= -3. m² +8m-7
Answers
Answer:
2
Step-by-step explanation:
When we differentiate this we will be having:
2m+8
therefore;
2(-3)+8
-6+8
= 2