Answer:
The slope of the perpendicular line is [tex]-\frac{6}{5}[/tex]
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the lineb is the y-interceptThe product of the slopes of the perpendicular lines is -1. which means if the slope of one of them is m, then the slope of the other is [tex]-\frac{1}{m}[/tex]∵ The equation of the given line is 10x - 12y = -24
→ We need to form this equation as the form above to find m
→ Subtract 10x from both sides
∵ 10x - 10x - 12y = -24 - 10x
∴ - 12y = -24 - 10x
→ Divide both sides by -12
∴ [tex]\frac{-12y}{-12}=\frac{-24}{-12}-\frac{10}{-12} x[/tex]
∴ y = 2 - ([tex]\frac{-5}{6}[/tex]) x
→ Remember that (-)(-) = (+)
∴ y = 2 + [tex]\frac{5}{6}[/tex] x
∵ y = m x + b
∴ m = [tex]\frac{5}{6}[/tex]
∴ The slope of the given line is [tex]\frac{5}{6}[/tex]
→ To find the slope of the perpendicular line reciprocal it and change
its sign
∵ The reciprocal of [tex]\frac{5}{6}[/tex] is [tex]\frac{6}{5}[/tex]
→ Change its sign from + to -
∴ The slope of the perpendicular line is [tex]-\frac{6}{5}[/tex]
The slope of the line perpendicular to the line whose equation is
10x - 12y = -24 is - 6 / 5
The slope intercept form is represented as follows;
y = mx + b
where
m = slope
b = y-intercept
Therefore,
10x - 12y = -24
10x + 24 = 12y
12y = 10x + 24
divide through by 12
12y / 12 = 10 / 12 x + 24 / 12
y = 5 / 6 x + 2
The slope of this equation is 5/6.
For a line perpendicular to another line the product of there slope is negative 1. Therefore,
m₁m₂ = -1
m₁ 5/6 = -1
m₁ = - 6 / 5
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A game is played where a fair coin is flipped. On the first go, heads you lose, tails you get to flip again. On the second go, heads you lose and tails you win. What is the probability of winning? *
1/2
3/4
1
1/4
Answer:
im pretty sure its a 50% chance so 1/2
Step-by-step explanation:
How do you factor 1x^2+9x+2
Answer:
not factorable
Step-by-step explanation:
To factor a trinomial of the type x^2 + ax + b, you need to find two numbers that add to a and multiply to b.
You have 1x^2 + 9x + 2.
In this case, a = 9 and b = 2.
There are no two integers whose sum is 9 and whose product is 2, so this trinomial is not factorable.
Solve for x: 4 − (x + 2) −7
x < −9
Answer:
35 im mot sure
Step-by-step explanation:
Answer: x > 11/8
Step-by-step explanation: Here is why
4 − (x+2) − 7x < −9 (simplify)
-8x + 2 - 2 < -9 -2 ( subtract)
-8x < -11
-8x/-8 < -11/-8 (divide)
= x > 11/8
I need help ASAP, please help me
23x−15x=x−1 does anybody wanna help I'm so confused???
Step-by-step explanation:
23x - 15x = x - 1. 23 minus 15 equals 8
8x = x - 1. subtract x on both sides
-x. -x
7x = -1. divide 7 on both sides
7. 7
x = -1/7
7t-13-2t=9+5t
solve for t
Answer:t=t
Step-by-step explanation:
rn, fr
Answer:
No Solution
Step-by-step explanation:
7t - 13 - 2t = 9 + 5t
~Combine like terms
5t - 13 = 9 + 5t
~Add 13 to both sides
5t = 24 + 5t
~Subtract 5t to both sides
0 = 24
Best of Luck!
The measure of the missing angle is
Answer:
43
Step-by-step explanation:
92 + 45+43=180
HOPE THIS HELPS
Answer:
It looks like forty-five degrees, maybe a little lower
Step-by-step explanation:
that's my estimate without a protractor.
A box of hot cocoa mix has 15 packets. Each packet has a mass of 28.3 grams. What is the mass of two boxes of the hot cocoa mix?
plz help
Answer:849grams
Step-by-step explanation:
28.3 times 15 = 424.5grams(1 box)
424.5(1st box) + 424.5(2nd box) = 849 grams
It takes 12 cup of lemon juice to make a glass of lemonade. You have 4 cups of lemon juice. How many glasses of lemonade can you make?
Answer:
you can make 1/3 glass of lemonade but if you are saying it without fractions its zero
Step-by-step explanation:
4 times 3 is 12 so if you just have 4 cups than thats 1/3 of a cup
Someone bought 2.75 pounds of ham for $14.50.
Someone bought 2.5 pounds of turkey for $26.25.
Someone bought 0.375 pounds of roast beef for $5.50.
u have to find cheapest to best
Answer:
ham is cheapest. next is turkey. then roast beef
Which equation is graphed below?
y= -3/x
y= 2/x
y= -2^x
y= 3^x
Answer:
y= -3/x
Step-by-step explanation:
Assignment Active Describing Domain and Range How would the domain and range of the function 1 y = -x - 6 be determined? Explain. 4
Answer:
y = 1x - 6
Step-by-step explanation:
You need to divide each number or variable by the y value(1).
PLEASE HELP FAST. WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Put -2 1/2 and -3.25 in order from least to greatest. You can use the number line to help.
Answer:
-3.25 then -2 1/2
Step-by-step explanation:
the greater the number in the negative side the less the amount
What is the original slope and what is the perpendicular slope?
Answer:
green line:
rise= -6
run= 3
rise/run = slope
therofore the slope = -6/3 = -2
blue line:
rise=3
run=6
rise/run = slope
therofore the slope = 3/6 = 1/2
Answer:
- 2 and [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (0, - 1) ← 2 points on the green line
m = [tex]\frac{-1-5}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
Repeat with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (6, 0) ← 2 points on the blue line
m = [tex]\frac{0+3}{6-0}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
Since the product of the slopes = - 2 × [tex]\frac{1}{2}[/tex] = - 1
Then the lines are perpendicular
help me please i want to know how to get the answer
Answer:
just guess
Step-by-step explanation:
Graph the line y = 2x + 3
Answer:
Step-by-step explanation:
For each graph, choose the function that best describes it.
Answer:
Step-by-step explanation:
a). This graph represents a function with square root of x,
f(x) = [tex]\sqrt{x}[/tex]
b). This graph represents the reciprocal squared function with asymptotes as,
Vertical asymptote x = 0
Horizontal asymptote y = 0
f(x) = [tex]\frac{1}{x^2}[/tex]
c). This graph represents a linear function (Straight line),
f(x) = x
d). This graph represents the cubic function,
f(x) = x³
Answer:
Step-by-step explanation:
1 x square rooted
2 1/x^2
3 x
4 x^2
what is q+t????????
Answer:
q+t=0
Step-by-step explanation:
Step-by-step explanation:
it said on Google
7x+2x=68+103 help please
Answer:
19
Step-by-step explanation:
7x + 2x = 9x
9x = 68 + 103
68 + 103 = 171
9x = 171
Divide it
19
Answer:
I'm sure the correct answer is x = 19
Step-by-step explanation:
7x + 2x = 9x
68 + 103 = 171
divide both sides by 9 and the it gives you x = 19
Find the value of x.
Answer:
x = 15
Step-by-step explanation:
I am not sure this is right though?
Answer:
x=5
Step-by-step explanation:
angle a & angle c are vertical angles so they r congruent (equal)
5x-5 = 2x+10
5x=2x+15
3x=15
x=5
Chloe and Charlie are taking a trip to the pet store to buy some things for their new puppy. They know that they need a bag of food that costs $7, and they also want to buy some new toys for the puppy. They find a bargain barrel containing toys that cost $2 each. Write an expression for the amount of money they will spend if the number of toys they buy is t.
Answer:
7 + t = 13$
If this is wrong I'm so sorry but that's what I think it is.
The required total cost for Chole and Charlie is y = 7 + 2t.
Given that,
Chloe and Charlie are taking a trip to the pet store to buy some things for their new puppy. They know that they need a bag of food that costs $7, and they also want to buy some new toys for the puppy. They find a bargain barrel containing toys that cost $2 each.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Let the total cost be y,
According to the given condition,
Total cost = 7 + 2t
where 2t is the total cost of the toys purchased.
y = 7 + 2t
Thus, the required total cost for Chole and Charlie is y = 7 + 2t.
Learn more about arithmetic here:
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1600 ÷ 4 equals 400 which number is the divisor
Can someone do this for me, because like....
Answer:
B) y=10x+150
Step-by-step explanation:
Which algebraic expression is a polynomial with a degree of 3?
4x3 –
2y3 + 5y2 – 5y
3y3 –
–xy
Answer:
B
Step-by-step explanation:
i got it right on the assignment
Question 3
2 pts
Explain how you used the model in Question 2 to find the product for 0.3 x 2.7.
Danielle wants to tip 15% on her restaurant bill. the total she pays with the 15% tip is $94.30. What is her restaurant bill?
Answer:
$80.15
Step-by-step explanation:
.15 x 94.3=14.145(round up)
94.3-14.15=80.15
ANSWER
rounded 80.16$
Step-by-step explanation:
I did 1.00-.15 to get .85
the did .85 times 94.30 to get 80.155 but since its money were talking about its 80.16$
Directions: if l || m solve for x and y
Answer:
x = 24
y = 15
Step-by-step explanation:
Since, angles (3x - 29)° and (6x - 7)° is a pair of consecutive exterior angles,
Therefore, (3x - 29)° + (6x - 7)° = 180°
9x - 36 = 180
9x = 180 + 36
x = [tex]\frac{216}{9}[/tex]
x = 24
Therefore, (3x - 29)° = 3(24) - 29
= 43°
Since, angles (3x - 29) and (8y + 17) is a linear pair.
(3x - 29)° + (8y + 17)° = 180°
43° + (8y + 17)° = 180°
8y + 60 = 180
8y = 120
y = 15
Therefore, x = 24 and y = 15 will be the answer.
Mike purchased a radio priced at $90. If 6% sales tax is added to the price of the radio, how much does Mike have to pay for the radio
Answer:
95.4 dollars
Step-by-step explanation:
multiply by 1.06 to get the answer
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
Equation:
y=-16x^2+267x+107
Answer:
The rocket will reach the maximum height after 8.34 seconds.
Step-by-step explanation:
We need to take the derivative of the function and set it to 0.
[tex]y' = -32x + 267 = 0\\32x = 267\\x = 8.34[/tex]
The maximum height of the rocket at x = 8.34375 will be 1,220.89.
What are the maxima and minima of a function?For the maximum value of the function if f''(x) < 0 and for the minimum value of the function if f''(x) > 0.
The maximum and minimum value of the function is at f'(x) = 0.
A rocket is sent off from a pinnacle. The level of the rocket, y in feet, is connected with the time after send-off, x like a flash, by the given condition.
The equation is given below.
y = -16x² + 267x + 107
Differentiate the function and put it zero to get the value of time that is 'x' will be given as,
y' = 0
(d/dx)(-16x² + 267x + 107) = 0
-32x + 267 = 0
32x = 267
x = 8.34375
Then the maximum height of the rocket at x = 8.34375 will be given as,
y = -16(8.34375)² + 267(8.34375) + 107
y = -1,113.89 + 2,227.78 + 107
y = 1,220.89
The maximum height of the rocket at x = 8.34375 will be 1,220.89.
More about the maxima and minima links are given below.
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