Answer:
y - 1 = 3/2(x - 6)
Step-by-step explanation:
First, we need to find the slope of the given equation. Without a graph, the easiest way to do this is by isolating y.
2x + 3y = 18
3y = -2x + 18 (Subtract 2x from both sides)
y = -2/3x + 6 (Divide both sides by 3)
The slope is -2/3. Perpendicular lines have opposite reciprocal slopes, so a line perpendicular to this one would need to have a slope of 3/2. We're given a point for this line, so we can write the equation for it in point-slope form.
Point-Slope Form: [tex]y - y_{1}=m (x-x_{1})[/tex]
y - 1 = 3/2(x - 6)
If necessary, this can also be written in slope-intercept form by solving for y.
A bag contains 100 marbles: 30 are red, 25 are green, 15 are blue, 7 are yellow, and the rest are orange.
Consider the following events, and then answer the question.
Event A: drawing a green marble
Event B: drawing a purple marble
Event C: drawing a red marble
Event D: drawing a yellow marble
Which probability is the smallest?
Answer:
a.25 out of 100 chances
b. 0 out of 100 chances
c. 30 out of 100 chances
d. 7 out of 100 chances
Step-by-step explanation:
it cost $5 per game to bowl plus $8 to rent shoes. if you have $30 to spend, how many hours can you spend bowling?
Answer:
21
Step-by-step explanation:
Answer:
4 hours
Step-by-step explanation:
30-8=22
5*4=20
20 dollars is the closest you can get without going over
pls help i don’t understand!
You may need to input the number only without the "degrees".
=============================================================
Explanation:
First we'll focus on triangle DEH. Ignore the other points and values.
We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.
cos(angle) = adjacent/hypotenuse
cos(H) = EH/DH
cos(x) = 32/49
x = arccos(32/49)
x = 49.227195
The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.
We'll come back to this value later.
---------------------
Now focus on triangle HFG. Ignore the other points.
We have the sides of FG = 38 and GH = 43
Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.
To find y, we'll need the sine rule this time
sin(angle) = opposite/hypotenuse
sin(H) = FG/GH
sin(y) = 38/43
y = arcsin(38/43)
y = 62.094527 which is approximate to 6 decimal places
---------------------
The last step is to add the values of x and y we found earlier
angle DHG = (angle DHE) + (angle FHG)
angle DHG = (x) + (y)
angle DHG = (49.227195) + (62.094527)
angle DHG = 111.321722
angle DHG = 111 degrees after rounding to the nearest whole degree.
----------------------
If you wanted to do this all in one step, you could say:
arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.
Someone help and plz make sure it’s right
I NEED HELP FAST PLEASEEEE ITS A TEST 15 PTS
x + y = z could be true or false. Show your work for the
following:
a. If x is 2, y is 6, and z is 10, is the equation true or false?
b. If x is 3 and y is 5, what value of z would make the equation
true?
Answer:
a. False
b. z = 8
Step-by-step explanation:
a. Equation answer:2 + 6 = 10 Real answer:2 + 6 = 8
b. 3 + 5 = 8
GET THIS CORRECT ILL GIVE BRAINLIEST
1+1
:)
Answer:
2
Step-by-step explanation:
But if you want monkey math then it is 11 or 22. Hope this helps lol.
Which value of x makes 2(x+8)=40 *
A x=20
B x=12
Cx=42
plz help me
help me please i really need it
Willy is creating a garden this is the diagram of willy's garden what is the area of the garden he's going to build. 32ft,26ft,10ft driveway 20ft,7ft garden 14ft.
Answer:
the answer is 230 ft squared
Step-by-step explanation:
We can solve this by subtracting the area of the driveway from the entire rectangle
The area of a rectangle is , so multiplying 14 by 32, we get 448
Now we need to find the area of the driveway. We can split up the driveway into 2 rectangles, one big rectangle at the left and a tiny rectangle in the upper right.
To find the area of the big rectangle in the driveway, we multiply 10 by 20, getting 200.
To find the area of the tiny rectangle in the driveway, we subtract 20 from 26 to find the length, which is 6.
Now we need to find the width of the tiny rectangle. We can do this by subtracting 7 from 10, getting 3.
Multiplying 6 by 3, we get 18, so the area of the tiny rectangle is 18.
Adding 200 to 18, we get 218, so the area of the driveway is 218 ft squared.
Now we need to subtract 218 from 448.
448-218=230
Simplify this expression 2(10) + 2(x - 4
Answer:
12 + 2x
Step-by-step explanation:
2(10) + 2(x - 4)
20 + 2(x - 4)
20 + 2x - 8
12 + 2x
Answer:
-6
Step-by-step explanation:
2(10)+2(x-4)=0
20+2x-8=0
20-8+2x=0
12+2x=0
2x=-12
x=-6
A triangle’s base is 3 feet longer than twice its height, h. To create a new triangle, the base is decreased by 4 feet, and the height is increased by 2 feet. Which expression represents the area of the new triangle?
Answer:
area of the triangle =
[tex] \frac{(x - 4) \times (y + 2)}{2} [/tex]
let base be x and height y
hope it helped
PLS mark BRAINLIEST
Answer:
let height be x
base =2x+3
for new
height =x+2
base=2x+3-4=2x-1
area of new triangle=1/2_newbase×height
=1/2 (x+2)(2x-1) is required expression
what is the surface area?
Answer:
Hope that answers your question
Can someone help me with this?
Answer:
I'm pretty sure it's 1, 2, and 3, but I'm not positive
1. Solve the following linear equation and state the value/s of x. Round to the
nearest tenth if necessary.
2(x - 5) + 4 = 2(x-3)
Answer:
No Solution
Step-by-step explanation:
2(x - 5) = 2(x - 3)
2x -10 = 2x -6 When we subtract 2x from both sides we are left with a false statement.
-10 [tex]\neq[/tex] -6
Thus, no solution.
Solve the system of equations. What is the solution?
10x – 4y = 12
5x + 2y = 14
Answer is 2
Step-by-step explanation:
Find a POSITIVE and NEGATIVE co-terminal angle for
-19(pie)/8
Which statement about this figure is true?????
Help! brainliest stars and hearts if correct! Please Area and perimeter! Please explain!
Answer:
Perimeter = 14 in
Area = 8 in^2
Step-by-step explanation:
Area = 2x2 + 4x1 = 8 in^2
Perimeter = 2+2+2+2+1+4+1 = 14 in
Answer:
The area is 8 square inches and the perimeter is 16 square inches.
Step-by-step explanation:
First, find the area.
We can find the area of the rectangle at the bottom pretty easily. Since half of the length of the bottom rectangle measures 2 inches, the full length would be 4 inches.
4 ⨯ 1 = 4
So, the area of the bottom rectangle is 4 square inches.
For the square on top, all you have to do is multiply 2 ⨯ 2, because there is no missing length we need to find out.
2 ⨯ 2 = 4
Now, we have to add 4 + 4, because the two quadrilaterals are joined together.
4 + 4 = 8
So, the area of the shape is 8 square inches.
Now, let's find the perimeter. We already know that the bottom rectangle's length is 4 inches, and that the sides are 1 inch tall. The square is 2 inches all around, so, no problems there.
Add the side measurements, not including the 2 inches at the bottom of the square because that side is inside the big shape.
2 + 2 + 2 + 4 + 1 + 4 + 1 = 16
So, the perimeter of the shape is 16 inches.
PLS HELP ASAP! GIVING BRAINLIST!
Answer: 5[tex]\sqrt{11}[/tex]
Step-by-step explanation:
25*11=275
[tex]\sqrt{25}\sqrt{11}[/tex]
25 is perfect square but 11 is not so 11 stays inside the radical while 25 is changed to 5
What is 50% of 98 pls
The answer is 49 :))
20 POINTS ANSWER QUICK
Which of the following is not an example of a Mixed Number?
A. 5 1/4
B. -3.85
C. 16/8
D. 27 2/3
Write each expression in standard from verify that your expression is equivalent to the one given by evaluating each expression using x =5
a) 3x + (2 - 4x)
b) 3x + (-2 + 4x)
c) -3x + (2 + 4x)
d) 3x + (-2 - 4x)
e) 3x - (2 + 4x)
f) 3x - (-2 + 4x)
g) 3x - (-2 - 4x)
h) 3x - (2 - 4x)
i) -3x - (-2 - 4x)
PLEASE HELP ME!!! I DONT UNDERSTAND!
158.297 rounded each number to the nearest while number
Answer:
158.3
Step-by-step explanation:
I need this quick!
Which equation has no solution?
|4x - 2|= -6
|-2 - x|= 9
|3x + 6|= 6
|-2x + 8|= 0
thanks so much! <3
Answer:
Hope that answers your question. The 3rd function has no solution
Classify this expression based on the number of terms: 4a^2+9ab^2-15b^3. A.Monomial B.Binomial C.Trinomial D.Polynomial
Complete the operation. Show steps needed
without a calculator.
a) 3.76 + 0.345
Answer:
4.105000
Step-by-step explanation:
because you have to add up
A wedding reception was
being held at Stefano's
restaurant. They charged
$2.00 per person for
appetizers, $20.00 per
person for the main course
and $250 for the wedding
cake. There were 50 people
at the reception. What was
the total cost of the
reception?
Answer:
the total cost of the wedding would be: 1,350
Step-by-step explanation:
2×50=100 and 20×50=1,000
100+1,000=1,100
1,100+ 250= 1,350
total for wedding is 1,350
:)
Answer: The answer for this problem is $1350.
Step-by-step explanation:
The first thing you do is to see how much money for the appetizers and the main course did all 50 people pay.
50 x 2 = 100, how much money in total for the appetizers
50 x 20 = 1000, how much money in total for the main course
Once you're done with that! Next, you add the total prices for the appetizers and the wedding cake. Then, you add up the $250, so you get your answer!
$100 + $1000 = $1100
$1100 + $250 = $1350
This is how you get the answer!
Justin and his friends went to a movie that started at 7:35 p.m. Justin got home 50 minutes after the movie ended. What time did Justin get home?
Zea has a credit limit of $2,000 on her credit card. Each month, she charges about $200 and makes a payment of $125. Estimate the number of months that Zea can continue this pattern until she reaches her credit limit.
The number of months that Zea can continue this pattern until she reaches her credit limit will be 27 months.
What is a credit card?A credit card is a method of payment that is given to customers so they may pay a merchant for products and services depending on the debt they have accumulated.
Zea has a credit limit of $2,000 on her credit card. Each month, she charges about $200 and makes a payment of $125.
The distinction between the installment made and the charges done will be given as,
Difference = $200 - $125
Difference = $75
Partition as far as possible by this distinction to find the number of months that Zea can proceed with this example until she contacts her credit limit.
⇒ $2,000 / $75
⇒ 26.667 ≈ 27
The number of months that Zea can continue this pattern until she reaches her credit limit will be 27 months.
More about the credit card link is given below.
https://brainly.com/question/27350251
#SPJ2
I have a question. It is: 5x+2y=4 3x+6y=-12 Solve the system of equations by graphing. How do I input that on a Casio graphing calculator. Giving brainliest if it works. Thanks!
Answer:
Step-by-step explanation:
[1] 5x + 2y = 4
[2] 3x + 6y = -12
Graphic Representation of the Equations :
2y + 5x = 4 6y + 3x = -12
// Solve equation [2] for the variable y
[2] 6y = -3x - 12
[2] y = -x/2 - 2
// Plug this in for variable y in equation [1]
[1] 5x + 2•(-x /2-2) = 4
[1] 4x = 8
// Solve equation [1] for the variable x
[1] 4x = 8
[1] x = 2
// By now we know this much :
x = 2
y = -x/2-2
// Use the x value to solve for y
y = -(/2)(2)-2 = -3