Given:
A new four way intersection is being constructed in New York Hyde park through point P(-3,-15).
Equation of line of one road : [tex]y=-\dfrac{3}{4}x+7[/tex].
New road that will run perpendicular to the first road
To find:
The equation of line for the new road.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
We have,
[tex]y=-\dfrac{3}{4}x+7[/tex]
Slope of this line is [tex]-\dfrac{3}{4}[/tex] and y-intercept is 7.
Product of slopes of two perpendicular line is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-\dfrac{3}{4}\times m_2=-1[/tex]
[tex]m_2=\dfrac{4}{3}[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
The slope of new line is [tex]\dfrac{4}{3}[/tex] and it passes through P(-3,-15). So, the equation of line of new road is
[tex]y-(-15)=\dfrac{4}{3}(x-(-3))[/tex]
[tex]y+15=\dfrac{4}{3}(x+3)[/tex]
[tex]y+15=\dfrac{4}{3}x+4[/tex]
Subtract 15 from both sides.
[tex]y=\dfrac{4}{3}x+4-15[/tex]
[tex]y=\dfrac{4}{3}x-11[/tex]
Therefore, the equation of the line representing the new road is [tex]y=\dfrac{4}{3}x-11[/tex].
NEED HELP FINDING X ASAP
-16 I think I used an online algebra calculator want the link?
Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at
a constant speed.
In kilometers, How far did Andre run in 60 minutes?
A store orders 22 boxes of light bulbs. Each box has 148 bulbs.
Which is the best estimate of the total number of bulbs the store orders?
A.
20
×
100
B.
20
×
150
C.
25
×
150
D.
25
×
200
Answer:
b
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
how much of earths surface is covered by earth ? write answer in scientific notation
Answer:
100% of earth is covered in earth, I'm starting to think you mistyped the question, cause it makes no sense
when j= -8 and k= 7, the value of the expression is
Answer: 539
Step-by-step explanation: PLATO and Edmentum
Expression will have a value of 116 for the specified values of j and k.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression -4j + 12k
where given, j = -8
and k = 7
Substituting the values in the given expression
=> -4 * -8 + 12 *7
=> 32 + 84
=> 116
Therefore, the value of expression for the given values of j and k will be 116.
Learn more about expression here:
https://brainly.com/question/23246712
#SPJ2
Complete question:
when j= -8 and k= 7, the value of the expression -4j + 12k is_____.
6x - 2 - 3x = 16 steps ?
Answer:
i am very sure but i think this the answer
Step-by-step explanation:
3x • (2x - 1)
If the figure below is rotated a certain number of degrees,
the transformed figure will coincide with overlap) the
original.
Which of these rotations will not result in the transformed
figure coinciding with the original?
288°
90°
72°
-72°
PLZ ANSWER QUICKLY
Write an equation that represents the line.
Use exact numbers.
Can anyone help me please
Answer:
x=6
Step-by-step explanation:
Since they are corresponding angles, they are congruent to each other.
12x+3=11x+9
x+3=9
x=6
what are the solutions of the equation below
(x-2)(x+9)=0
Answer: {2, -9}
Step-by-step explanation: Think of these two binomials, x -2 and x + 9,
as two numbers that are multiplying together to equal zero.
In order for two numbers to multiply together to equal zero,
either one number or the other number must equal zero.
So for two binomials to multiply together to equal zero,
either one binomial or the other binomial must equal zero.
So we can split this problem up into two parts.
If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.
On the left, add 2 to both sides and we have x = 2.
On the right, subtract 9 from both sides and we have x = -9.
For our final answer we use set notation.
So our answer is {2, -9}.
Answer:
2 and -9
Step-by-step explanation:
x-2=0
x=2
x+9=0
x=-9
Given a 30-60-90 triangle with a hypotenuse of 11 mm solve for the other sides. (Explain)
Answer:
Need a calculator
Step-by-step explanation:
This will be hard to explain without the ability to draw an example.
The one thing you can memorize is SOH - CAH - TOA
This stands for SIN(Opposite/Hypotenuse), COS(Adjacent/Hypotenuse) and TAN(Opposite/Adjacent).
When you know the angles of a right triangle and at least one side length, you can get the length of all the sides.
So a right triangle has two legs (sides) and the hypotenuse. If you use the first angle ( 30 degrees) you can use the formulas above to calculate the side length.
Pick either the SOH or the CAH. Let's use SOH and write out the equation:
SIN(30 degrees) = Opposite Side divided by the Hypotenuse (11mm)
You can solve for the Opposite Side by multiplying both sides of the equal sign with 11mm. You end up with SIN(30 degrees) X 11m = Opposite Side.
So the side directly across from the 30 degree angle should be 5.5mm
You can do the exact same thing with the 60 degree angle.
SIN(60 degrees) = Opposite Side divided by Hypotenuse (11mm) OR
SIN(60 degrees) X 11mm = Opposite Side
This comes out to about 9.5mm
You can check the math by using the other equation CAH
Start with the 30 degree angle and solve for the adjacent side. This is the side that is touching the 30 degree angle. Equation will be
COS(30 degrees) X 11mm = Adjacent Side or about 9.5mm
The other equation will give you the side that is touching the 60 degree angle.
COS(60 degrees) X 11mm = Adjacent Side or 5.5mm
You can also use one last thing to check your math. The Pathagorean Theorem says in a right triangle [tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex] where C is the hypotenuse and A and B are the two sides.
[tex]5.5^{2}[/tex] + [tex]9.5^{2}[/tex] should equal [tex]11^{2}[/tex]. Give or take a few decimal places, it's almost exactly 11 (10.977 to be exact).
solve the fraction below 2 4/5 - 5/8
Answer:
I believe its 2.175 (as a decimal)
or 2 7/40 ( as a fraction)
How do I solve permutations and combinations?
Answer:
by formulas . you can solve permutations and combinations by formulas .
If, on average, a person with a bachelor's degree earns $57,181 per year, how
much, on average, can a person with a master's degree expect to earn per
year?
O A. Less than $28,590
B. More than $28,590 but less than $57,181
C. $57,181
D. More than $57,181
Answer: D. More than $57,181
Step-by-step explanation:
Because a masters degree is higher than a bachelors degree, they should make more money
Answer: D
Step-by-step explanation: Because a master’s is higher than a bachelor’s so master’s would get more money.
i got 4.9 and 40 i dont know if im right
Answer:
I got 40 aswell
Step-by-step explanation:
A class of 340 students went on a field trip.
They took 8 vehicles, some cars and some
buses. Find the number of cars and the
number of buses they took if each car holds
5 students and each bus hold 55 students.
Answer: 2 cars and 6 buses.
Step-by-step explanation:
x + y = 8
5x + 55y =
5 times 2 = 10
plus
55 times 6 = 330
Add 330 plus 10 = 340!
__/5=9 the / is a divide sign
Answer:
45
Step-by-step explanation:
45/5=9
It takes 14 ppl to play a 42 minutes football game. How many ppl would it take to play a 60 minute football game
Answer:
20 people
Step-by-step explanation:
Step 1:
14/42 = x/60 Equation
Step 2:
42x = 840 Multiply
Step 3:
x = 840 ÷ 42 Divide
Answer:
x = 20
Hope This Helps :)
Answer:
20 people
42/14=3
Then, you divide 60/3=20 people
Can sum1 please help me on this ty!! ❤️✌
Answer:
I need more information for the first graph but I can answer the second one:
So for the X column on the SECOND graph, it should be: 5,6,9,14,15,18,20,24,25
And for the Y column it should be: 25,30,45,70,75,90,100,120,125
Step-by-step explanation:
It is a Pattern the pattern is Multiplying 5
Ms.smith has 132 stickers to give to her students. she has 25 students. if she gives the same number of stickers to each of her students how many stickers will she have left over?
Answer:
Step-by-step explanation:
If Ms. Smith hands out 130 of her stickers between all 5 of her students each will have 26. Which means she will have 2 remaining
I need help with this one question ASAP
Need help ASAP!! Question in photo.
Answer:
1.) angles 1 and 4. angles 5 and 8.
2.) angles 1 and 5. angles 3 and 7. angles 2 and 6. angles 4 and 8.
3.) angles 1 and 3. angles 5 and 7. angles 2 and 4. angles 6 and 8.
Step-by-step explanation:
Math
Garrett has one dollar less than three times as much money as Liz has. Together they have $179. What equation would you set up to find out how much Money Garrett has?
Answer:
1-x=179
Step-by-step explanation:
what is the equation of ( 1, 6) and (2, 3) and (4, 15).
Answer:
y = − 3 x + 9
Step-by-step explanation:
A hotel manager found that his gross receipts for the day, including a 5% sales tax, were $1645.35. Find the amount of sales tax collected.
Answer:
The amount of sales tax collected is $78.35
Step-by-step explanation:
Percentages
The gross receipts for the day were $1645.35, including a 5% sales tax.
If a percentage is already included (added) to a certain quantity, then it's not the original quantity or 100%.
The problem states that the gross receipts already include a 5% sales tax, thus the receipts are 100+5=105% of the net sales.
This means the net sales were $1645.35 / 105 * 100 = $1567
Subtracting $$1645.35 - $1567 = $78.35 we get the amount of sales tax.
The amount of sales tax collected is $78.35
Divide. Write the quotient in lowest terms.
2 3/4 divided by 3
Plz help me I’ll give brainliest
Answer:
5/1
Step-by-step explanation:
you hire movers to deliver your new couch. it weighs 60 kilograms. how much does it weigh in pounds
Answer:
132.277 if this isnt the right answer i just googled how many pounds is 60 kg
Step-by-step explanation:
f(x)=3x-1 Find f(-8)
Answer: y=-25
Step-by-step explanation:
Plug in -8 for x
3(-8)-1
-24-1
-25
Answer:
x= -25
Step-by-step explanation:
-8(3)-1=
-24-1=
-25
is it true or false?
Answer:
TRUE
Step-by-step explanation:
