Answer:
y = - 3x + 6
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 )
Given
x - 3y = 3 ( subtract x from both sides )
- 3y = - x + 3 ( divide all terms by - 3 )
y = [tex]\frac{1}{3}[/tex] x - 1 ← in slope- intercept form
with slope m = [tex]\frac{1}{3}[/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}{3} }[/tex] = - 3, then
y = - 3x + c ← is the partial equation
To find c substitute (5, - 9) into the partial equation
- 9 = - 15 + c ⇒ c = - 9 + 15 = 6
y = - 3x + 6 ← equation of perpendicular line
the quotient of 6 divided by the difference of 6 minus 3
9514 1404 393
Answer:
6/(6-3) = 2
Step-by-step explanation:
The expression is written as ...
[tex]\boxed{\dfrac{6}{6-3}}[/tex]
It evaluates as ...
[tex]\dfrac{6}{6-3}=\dfrac{6}{3}=\boxed{2}[/tex]
find the h.c.f of 6,9 and 12
Answer: 3 is the HCF of 6,9 and 12
coz 3 is divisible by all the numbers above
Hope it helped u,
pls mark as the brainliest
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Values of two different linear functions are given.
What is the solution to the equation f(x)=g(x)?
Answer: are there possible choices to choose from
Step-by-step explanation:
Find the missing angle.
Answer:
[tex]m\angle XYV=135^{\circ}[/tex]
Step-by-step explanation:
Notice that [tex]m\angle XYV=m\angle XYW+m\angle VYW[/tex].
The diagram already marks [tex]m\angle VYW=80^{\circ}[/tex], so we just need to find [tex]m\angle XYW[/tex].
[tex]\angle TYU[/tex] and [tex]\angle XYW[/tex] are vertical angles, which means they are equal in measure.
Therefore,
[tex]m\angle TYU=m\angle XYW=6x+7[/tex]
Since there are [tex]180^{\circ}[/tex] on each side of a line, we have the following equation:
[tex]m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8[/tex].
Plugging in [tex]x=8[/tex], we have:
[tex]m\angle XYW=6(8)+7=55^{\circ}[/tex].
Therefore,
[tex]m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}[/tex].
Mrs. Robbins was trying to find a matching pair of shoes in her closet this morning. She has 4 blue shoes, 6 black shoes, 2 brown shoes, 2 white shoes, 2 pink shoes, and 6 sparkly shoes. The light bulb in the closet went out so she couldn't see anything. What is the probability she will grab a white shoe, keep it, and grab another white shoe?
Answer:
14 ; three of them are black, 2 are black and leather, 9 are leather
Step-by-step explanation:
i hope this helps
A 12 foot ladder leans against a building at a 75 degree with the ground. Which equation below can be used to find how high the ladder reaches up the side of the building
Answer:
[tex] \huge\boxed{\sin(75°) = \frac{x}{12}} [/tex]
(B) is the right answer.sin(¢)=perpendicular/hypotenuse
A 12 foot ladder leans against a building at a 75 degree with the ground. Therefore ladder reaches approximately 11.59 feet up the side of the building.
Trigonometry, specifically the sine function, may determine how high the ladder is up the building. A right triangle's sine is the ratio of the opposing side's length to the hypotenuse. The ladder is the hypotenuse of the right triangle, and we want to find the ladder's height up the building's side.
Let's call the height h. The given information is that the ladder (hypotenuse) is 12 feet, and the angle between the ladder and the ground is 75 degrees.
Using the sine function:
sin(75 degrees) = opposite / hypotenuse
sin(75 degrees) = h / 12
Now, we can solve for h:
h = 12 × sin(75 degrees)
Using a calculator:
h = 12 × 0.96592582628 = 11.59 feet
So, the ladder reaches approximately 11.59 feet up the side of the building.
To know more about Trigonometry
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Can someone please help me solve this
Answer:
[tex]m\angle1=75^{\circ}[/tex]
Step-by-step explanation:
Solution 1:
[tex]m\angle1[/tex] is formed by a point that is on the circle. The angle encompasses an arc of [tex]150^{\circ}[/tex] and thus the measure of the angle formed is [tex]\frac{150}{2}=\fbox{$75^{\circ}$}[/tex].
Solution 2:
Since [tex]\angle 1[/tex] is adjacent to a line and encompasses an arc, we can set up the following proportion:
[tex]\frac{150}{360}=\frac{m\angle 1}{180}[/tex]
Solving, we get [tex]m\angle 1=\fbox{$75^{\circ}$}[/tex].
Brainly please help I been asking
Answer:
114
Step-by-step explanation:
break apart the shape into 2 smaller shapes and you'll get 15 and 4 for the 1st shape multiply them and you'll get 60. Then for the second shape you'll get 6 and 9 multiply them and you'll get 54. Last add them together and you get 114. (Sorry if I get it wrong)
what is the y intercept of the linear equation y= 3/2x-5
Answer:
-5
Step-by-step explanation:
John takes out a loan for $12,000 at a simple interest rate of 4.5% to be paid back in 36 month lease documents what is the amount of monthly payments
Answer:
$31,400(payment for 36 months)
Step-by-step explanation:
4.5% of 12000 is 540.
540×36=19,440
19,440+12000=31,440
Convert -3 2/7 into an improper fraction.
Answer: -23/7
Step-by-step explanation:
The height of a tree is one-half of the height of a tower.
Let m be height of tower. Write a variable expression for the height of tree.
Answer:
If d is the height of the tree: d = 1/2m
Step-by-step explanation:
help pleased this is homework I need now plz.
Answer:
Step-by-step explanation:
Divide the numbers and write what you got in distributive property
Which equation represents the line shown in the graph?
5.
4
3
2
1
-6 -5 -4 -3 -2 -1 0
2
4 5
6
-2
-3
-4
-5
-6
he points in the table lie on a line. What is the slope?
determine the promotional price of each item at each store
Answer:
Step-by-step explanation:
Original price of the music box = $80
Price after 20% discount = Original price - discount
= 80 - 20% of 80
= 80 - [tex](\frac{20}{100}\times 80)[/tex]
= 80 - 16
= $64
Price after 40% discount = 80 - 40% of $80
= 80 - 32
= $48
Original price of A faux Ming vase = $60
Price after 20% discount = Original price - discount
= 60 - 20% of $60
= 60 - 12
= $48
Price after 40% discount = Original price - discount
= 60 - 40% of 60
= 60 - 24
= $36
What is the value of the expression 3y−4 when y = 2?
Answer: 2
Step-by-step explanation:
we simply plug in 2 for y.
3(2) - 4
6 - 4
6 - 4 = 2
Answer:
3y-4=2
3×2-4
=6-4
2 the value of y is 2
Solve for N,
−2p + 6n = 5
Answer:
[tex]n=\frac{1}{3}p+\frac{5}{6}[/tex]
Step-by-step explanation:
In this question, you are solving for n.
Solve:
−2p + 6n = 5
We have to get "n" by itself, so add 2p to both sides.
6n = 2p + 5
Since the variable "n" has a number next to it, we have to get rid of that number in order to get our answer.
To do so, we would divide both sides by 6.
[tex]n=\frac{2}{6}p+\frac{5}{6}[/tex]
Simplify the equation further.
[tex]n=\frac{1}{3}p+\frac{5}{6}[/tex]
Find the area of this rectangle.
8 cm
11 cm
Answer:
88 cm squared
Step-by-step explanation:
To find area, you multiply the 2 side lengths with each other. So for this problem, you would do 8 times 11.
Answer:
88 cm
Step-by-step explanation:
The formula to find the area of a rectangle is base × height.
base = 11cm, height = 8cm
11 × 8 = 88cm
Which is greater: pi or -3?
Answer:
> -3
Step-by-step explanation:
Pi can be simplified down to 3.14. That is a positive number. -3 is a negative number. Because positive numbers are greater than negative numbers, pi > 3.
Answer:
Pi
Step-by-step explanation:
pie is 3.14 which is a positive number
any positive number is greater than a negative number. pi>-3
enter the value of 3/4 + 7/12 - ( -4 )
Answer:
16/3 or 5.33
Step-by-step explanation:
3/4+7/12+4/1= 16/3 = 5.33
Answer:
Step-by-step explanation:
Exact Form:
16/3
Decimal Form:
5.3....
Mixed Number Form:
5 1/3
Subtract $987.59 from $1,581.06.
The difference is?
A. $593.47
B. $603.47
C. $693.47
D. $694.47
Answer
A=1,597.06
Step-by-step explanation:
Item 2: help asappp please :)
Answer:
A is correct. i mean 75°
60°+45°=95°
180°- 95°=75°
What is greater? 50 ppm (parts per mile) or 1.1 meters?
A pilot flew a plane from an altitude of 16900 feet to an altitude of 16000 feet. What was the change in altitude?
Answer:
The change of Altitude is 900 feet because of the decrease in alt.
Step-by-step explanation:
16900-16000=900
Find the value of x. Then classify the triangle by its angles.
Answer:
x
Step-by-step explanation:
sorry idol grade 8 lng ako eh sensya kana godbless
Which ratio is proportional to 35/7?
a)20/4 b) 15/2 c) 25/6 d) 12/2
Answer:
the answer is b i hope it helps
If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?
Answer: It would be 43 mittens
Step-by-step explanation:
Using first principal find the gradient of the curve whose equation is y=x^5. show working pleas
Answer:
The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].
Step-by-step explanation:
Geometrically speaking, the gradient of a curve is the slope of the tangent line at a given point of the curve. From perspective of Differential Calculus, the gradient is the first derivative of the curve. Let [tex]y = x^{5}[/tex], then the gradient of the curve is:
[tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex] (1)
The gradient of [tex]y = x^{5}[/tex] is [tex]\frac{dy}{dx} = 5\cdot x^{4}[/tex].
what is the y-intercept in this equation f(x) = 4x2 – 3x + 1
Answer:1
Step-by-step explanation: it’s always at the end of a linear equation