The equation of the line perpendicular to 4x + 3y = 9 and passing through (-2, 3) is option A, 3x - 4y = -18.
What is slope intercept form?A linear equation can be expressed in a two-dimensional coordinate plane using the slope-intercept form. It appears as follows:
y = mx + b
When m is the slope of the line, b is the y-intercept, or the point at which the line crosses the y-axis, and y is the dependent variable (typically the vertical axis), x is the independent variable (often the horizontal axis).
The slope (m) shows how quickly y moves in relation to x, or how much y shifts for each unit change in x. It can be calculated as the difference between the changes in y and x:
M is equal to (y-change / x-change)
The equation of the line is 4x + 3y = 9.
Converting the equation in standard form we have:
4x + 3y = 9
3y = -4x + 9
y = (-4/3)x + 3
Here, the slope of the line is -4/3.
Now for the line to be perpendicular the slope needs to be negative and reciprocal thus, the slope will be 3/4.
Now, given the line passes through (-2, 3) thus, using the slope intercept form we have:
y - y1 = m(x - x1)
y - 3 = (3/4)(x + 2)
3x - 4y= -18
Hence, the equation of the line perpendicular to 4x + 3y = 9 and passing through (-2, 3) is option A, 3x - 4y = -18.
Learn more about slope intercept form here:
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Help please! No links
Answer:
Y=x+3
Step-by-step explanation:
Just subtract the x value from the y value and you will always get the right answer... But isn't this iready? A test?
wish one is bigger 256 cups or 13 gallons
Answer:
256 cups
Step-by-step explanation:
There are 16 cups in a gallon and 16x13 equals 208, which is less than 256
PLEASE HELP QUICK!!!
A line passes through the points (3, 9) and (0, 3). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex] y = 2x + 3 [/tex]
Step-by-step explanation:
Given :-
Two points are given to us .The points are (3,9) and (0,3) .And we need to find the equation in slope intercept form. So here we can find the equation of the line using two point form , as ,
[tex]\implies y - y_1 = \dfrac{ y_2-y_1}{x_2-x_1}( x - x_1) [/tex]
Now plug in the respective values ,[tex]\implies y - 9 = \dfrac{ 3-9}{0-3}( x - 3) \\\\\implies y - 9 =\dfrac{-6}{-3}( x - 3 ) \\\\\implies y - 9 = 2( x - 3 ) \\\\\implies y - 9 = 2x - 6 \\\\\implies y = 2x - 6 +9 \\\\\implies \boxed{ y = 2x + 3 }[/tex]
Hence the equation in slope intercept form is y = 2x + 3.
replace the # symbols in the row 1 function to match the graph below f(x)=(x+5)(x+#)(x-1)(x-#)
Answer:
3, 5
Step-by-step explanation:
Looking at the graph, the x-intercepts are -5, -3, 1 and 5.
Hence the graph equation is (x+5)(x+3)(x-1)(x-5)
8/15(-2/3) whats the answer?
Answer:
-0.8 is the correct answer of this question
Answer:
-16/45
Step-by-step explanation:
When you mulitply these two fractions together it's best to muliteply them by the number across so therefore 8x-2= -16 and 15x3= 45 which you end up with -16/45
What is the height ? Please help, I need it! Urgent !
Answer:
207.24 inch^2
Step-by-step explanation:
A=2*3.14*9+2.3.14*3*8
=56.52+150.72
=207.24 square inches
The percentage difference from 239,900 to 251,895
Answer:
4.87805%
Step-by-step explanation:
yuh yw
Answer:
= 4.87805% difference
Solution:
Calculate percentage difference
between V1 = 239900 and V2 = 251895
|V1−V2|[(V1+V2)2]×100=?
=|239900−251895|[(239900+251895)2]×100
=|−11995|[4917952]×100
=11995245897.5×100
=0.0487805×100
=4.87805%difference
Factor completely.
25 - 64x2
Answer:
Factor 25−64x2
−64x2+25
=(8x+5)(−8x+5)
Answer:
(8x+5)(−8x+5)
i need help on number 10!!! plese and thanks
Answer:
4 5/6
Step-by-step explanation:
4 5/6 = 29/6
5 1/6 = 31/6
29/6 + 31/6 = 60/6 = 10
Are 4(a - 3) and 4a - 7 equivalent expressions?
Answer:
Yes
Step-by-step explanation:
Given expression: 3x+9
Take 3 outside from the expression, we get,
= 3(x+3), which is called the equivalent expression
Answer:
No
Step-by-step
We have to multiply the 4 by both the a and the 3 since there a parenthesis around them. This would of course be distributive property. Since you don't know what a is, it would just be 4a and since we can multiply 4 and 3 that would be 12. So, 4(a - 3) is equivalent to 4a - 12.
PLEASE HELP
I NEED HELP ASAP
Question in photo
Answer:
See below
Step-by-step explanation:
ΔABC has been flipped over, so we have a reflexion using line BC
So, the answer to 1. is line BC
The result is ΔE'F'D'
Now ΔE'F'D' is moved 4 units to the right. That is the answer to 2.
The result is ΔE"F"D"
Finally ΔE"F"D" is moved 1 unit down. That is the answer to 3.
The final result is ΔEFD
Ok. Did that help you?
If tan = 4/11 then what will tan(90 - ) be? Please show work.
Answer:
Tan.
Step-by-step explanation:
First way;
Tan (90-θ )=Cot θ Tan (90+θ )= -Cot θ
1st explanation, QUOTATIONS!
"tan90∘ is undefined because you can't divide 1 by nothing. Nothing multiplied by 0 will give an answer of 1 , so the answer is undefined."
2nd explanation, QUOTATIONS!
"That's undefined because as you approach 90° from either direction, tan approaches positive or negative infinity. cot(90°) hence approaches 1/infinity (either positive or negative) which is just 0."
Find the area of a square with side lengths of 2/5 inch
Can anyone help me please
Answer:
A, E
Step-by-step explanation:
The mean of the pizza truck:
(400 + 800 + 1000 + 1000)/4 = 800
The mean of the burger truck:
(800 + 700 + 900 + 800)/4 = 800
A is correct, which voids answer C
The median of the pizza truck:
400, 800, 1000, 1000
\ /
900
The median of the burger truck
700, 800, 800, 900
800
900>800 so E is correct, voiding all other answers
Find m angle dbc in the figur below
Answer:
It like the once like Line with smaller angle (DBC) measure wouldn't 30* and by the exam the ratio of angle use by subjective by multiplying as large of angle.
oh, by the way I think I hope I'm right so good luck with that?
Help please
Nowwwww
Answer:
ab+ac
Step-by-step explanation:
The area of the figure is the length multiplied by the width, which is (a+b)c. By the commutative property, this is equal to c(a+b), and by the distributive property, it is also equal to ac+bc. It is not equal to ab+ac.
Answer:
c(a+b)
Step-by-step explanation:
If w÷3=3(w-1)-1 find the value of w
Answer:
3/2
Step-by-step explanation:
w/3=3(w-1)-1
w=9w-9-3
-8w=-12
w=3/2
Ahmed works 6 days daily from 9 am to 5pm at a local bank at a rate of 30 dollars per hour . how much he earns daily from his job
Answer:
$240
Step-by-step explanation:
the working hours per day =
5pm - 9am = 17-9 = 8 hours
so, he earns daily = 8×30
= $240
Fill in the missing number.
30% of __ =27
9514 1404 393
Answer:
90
Step-by-step explanation:
The number that goes in the blank is x, where ...
0.30x = 27
Dividing by 0.30, we find ...
x = 27/0.30 = 90
Then ...
30% of 90 = 27
(please explain clearly, I am very tired) Find the surface area of the composite figure.
Answer:
644
Step-by-step explanation:
SA=[2×(5×20 + 5×6 + 20×6)] +
[2×(4×12 + 4×6 + 12×6)] -
[ 2× 12×6]
= [2×(250)]+[2×(144)] - [144]
= 500+288-144
= 644 cm²
Yumiko has a drip hose attached to a rain barrel for her garden. The water drains from the rain barrel at a constant rate. What is the change in the volume of water after 1 minute ?
Help mee…pleasseeessss
(DOK 2)
Find the area of each triangle. Round to the nearest tenth.
5
40°
3
Answer:
D
Step-by-step explanation:
The area (A) of the triangle is calculated as
A = [tex]\frac{1}{2}[/tex] ab sinC ( a, b are the sides and C the angle between them ) , then
A = [tex]\frac{1}{2}[/tex] × 5 × 3 × sin40° = 7.5 × sin40° ≈ 4.8 units² ( to nearest tenth )
y=5x-9
-2x-3y=-7
Please show
work!
Answer:
hmm... thats a good question
Step-by-step explanation:
as you can see i'm Petty
Answer:
JK
Step-by-step explanation:
HAHA it's so funny don't do it to other people like u did to me bacause if u don't know it don't awnser it
find the surface area of the prism
Answer:
740 m²Step-by-step explanation:
The surface area of a prism is a sum of areas of all of its faces
2×(¹/₂×16×15) + 2×(17×10) + 16×10 = 240 + 340 + 160 = 740 m²
Refer to the figure to complete the following item.
Given: PB tangent PV, PU secants
angle1=30 and mSTarc= 20, then mVUarc=___
Answer:
Answer: 80°
Step-by-step explanation:
Since, If two secants intersect outside the circle, then the measure of the angle formed is one half of the difference of the measures of the intercepted arcs.
In the given diagram,
Chord VS and chord UT are intersecting externally,
Also, ∠SPT is the angle formed by the intersection of these chords.
Thus, by the above property,
⇒ Measurement of the arc VU= 80°.
Answer:
80 is the correct answer
Step-by-step explanation:
Find the area of a circle with radius,
r
= 5.99m.
Give your answer rounded to 2 DP.
Answer: 112.72
Step-by-step explanation: We know that the formula for area of a circle is pi*r^2. Now we plug in the values. pi*5.99^2. Next we get rid of the exponent. 5.99*5.99 = 35.8801. Now we have pi*35.8801. Now if you are gonna use actual pi for this your answer would be 112.72065857. Round it to 2 decimal points and you have 112.72 . If you do 35.8801*3.14=112.663514 -> Round this and you have 112.66. So any of them would actually work but I would stick with 112.72.
This figure is made up of two rectangular prisms what is the volume of the figure.
Answer:
10x3=30 6x12x19=1368 1368+30=1398
Find the volume of this shape please!
PLEASE HELP QUICK. The Hiking Club plans to go camping in a State park where the probability of rain on
any given day is 4/5. What is the probability that it will rain on exactly six of the six
days they are there? Round your answer to the nearest thousandth.
Answer:0.013
Step-by-step explanation: