Find the equation of the line through (−1,−2) which is perpendicular to the line y=x^2−9.
Give your answer in the form y=mx+b.
Answers
The equation of the line through (−1,−2) which is perpendicular to y = 2x - 9 is y = -(1/2)x - 5/2
What is an equation?
An equation is an expression that shows the relationship between two numbers and variables using mathematical operations like addition, subtraction, multiplication, exponents
The standard form of a linear function is:
y = mx + b
where m is the rate of change (slope) and b is the y intercept
Two lines are perpendicular if the product of their slope is -1.
Given the line y = 2x - 9. The line perpendicular to y = 2x - 9 would have a slope of -1/2.
The line perpendicular to y = 2x - 9 that includes the point (-1, -2), is:
y - y₁ = m(x - x₁)
substituting:
y - (-2) = (-1/2)(x - (-1))
y = -(1/2)x - 5/2
The equation of the line is y = -(1/2)x - 5/2
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Related Questions
Rewrite x^4y^2 − 3x^3y^3 using a common factor.
3xy(x^3y − x^2y)
3xy^2(x2 − x^2y)
x^2y(xy − 3xy^2)
x^2y^2(x2 − 3xy)
Answers
Answer:
x^2y^2(x^2-3xy)
Step-by-step explanation:
if you need explanation tell me
Last year a tree was 12.8 meters tall it grew 1.35 meters taller this year if it grows the same amount next year how tall will the trees be
Answers
Answer:
15.5 meters tall
Step-by-step explanation:
Add 1.35 for each year to the start amount.
Which situation can be represented by the equation 2x + 150 = 5x
Mary has 5 stamps and buys 150 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Marty have
more stamps than Mary?
Mary has 2 stamps and buys 150 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have
the same number of stamps?
Mary has 150 stamps and buys 5 stamps each week. Nick has no stamps and buys 2 stamps each week. When will Marty have
more stamps than Mary?
Mary has 150 stamps and buys 2 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have
the same number of stamps?
Answers
The situation can be represented by the equation 2x + 150 = 5x is"Mary has 2 stamps and buys 150 stamps each week. Nick has no stamps and buys 5 stamps each week. When will they have the same number of stamps?" (option b)
The equation 2x + 150 = 5x means that two expressions, 2x + 150 and 5x, are equal. In other words, whatever value we substitute for x, these two expressions will always have the same value. We can use this equation to solve different situations by finding the value of x that satisfies the equation.
Mary starts with 2 stamps and buys 150 stamps each week, while Nick starts with no stamps and buys 5 stamps each week. To determine when they will have the same number of stamps, we need to use the equation 2x + 150 = 5x. We can rewrite the equation as 150 = 3x, and solve for x by dividing both sides by 3. This gives us x = 50, which means that it will take Mary 50 weeks to have the same number of stamps as Nick.
Hence the correct option is (b).
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Solve pleaaase i really need help
Answers
The equation of the model is (b) 2x = 5
How to determine the equation of the model?From the question, we have the following parameters that can be used in our computation:
Left = x x
Right hand side = 1 1 1 1 1
The above parameters mean that
Left = 2x
Right = 5
When represented as an equation, we have
2x = 5
Hence, the equation is (b)
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A right triangular prism is shown.
A right triangular prism is shown. The right triangles have sides with lengths 15 and 8. The hypotenuse has a length of 17. The height of the prism is 15.
What is the volume of the prism?
900 cubic units
1,020 cubic units
1,800 cubic units
2,312 cubic units
Answers
Therefore , the solution of the given problem of volume comes out to be the response is 900 cubic units.
What precisely is volume?A three-dimensional object's volume, which is expressed in cubic units, indicates how much space it takes up. These symbols for cubic dimensions are liter and in3. However, understanding an object's volume is necessary to calculate its measurements. It is standard practice to convert the weight of an object into mass units like grams and kilograms.
Here,
The formula V = Bh, when B is the area of the bottom and h is the height of the prism, determines the volume of a right triangle prism.
The prism has an area of because its foundation is a right triangle with 8 and 15-foot-long legs.
=> B = (1/2)bh = (1/2)(8)(15) = 60
The prism's height is specified as 15 inches.
As a result, the prism's capacity is:
=> 900 cubic units are equal to V = Bh = 60(15).
Therefore, the response is 900 cubic units.
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Answer:
900 cubic units
Step-by-step explanation:
Find the equation of the parabola with its focus at (6,2) and its directrix y = 0.
Answers
The general form is x 2 − 12 x − 4 y + 40 = 0 x 2 −12x−4y+40=0.
The vertex form is y = ( x − 6 ) 2 4 + 1 y= 4 (x−6) 2 +1.
Can someone tell me a good definition for “Annuity” please?
Answers
Answer:
an annuity is a type of retirement income product that you buy with some or all of your pension pot. it pays a regular retirement income either for life or for a set period. (hope this is a decent answer lol)
Step-by-step explanation:
Answer:
An annuity is a contract between you and an insurance company in which you make a lump-sum payment or series of payments and, in return, receive regular disbursements, beginning either immediately or at some point in the future.
Step-by-step explanation:
Question 24 Multiple Choice Worth 1 points)
(8.01 MC)
Two lines, A and B, are represented by equations given below:
Line A: y = x - 4
Line B: y = 3x + 4
Which of the following shows the solution to the system of equations and explains why?
0 (-3,-5), because the point satisfies one of the equations
0 (-3,-5), because the point lies between the two axes
(-4,-8), because the point satisfies both equations
(-4, -8), because the point does not lie on any axis
Answers
Given:
The system of equations is:
Line A: \(y=x-4\)
Line B: \(y=3x+4\)
To find:
The solution of given system of equations.
Solution:
We have,
\(y=x-4\) ...(i)
\(y=3x+4\) ...(ii)
Equating (i) and (ii), we get
\(x-4=3x+4\)
\(-4-4=3x-x\)
\(-8=2x\)
Divide both sides by 2.
\(-4=x\)
Substituting \(x=-4\) in (i), we get
\(y=-4-4\)
\(y=-8\)
The solution of system of equations is (-4,-8).
Now verify the solution by substituting \(x=-4, y=-8\) in the given equations.
\(-8=-4-4\)
\(-8=-8\)
This statement is true.
Similarly,
\(-8=3(-4)+4\)
\(-8=-12+4\)
\(-8=-8\)
This statement is also true.
Therefore, (-4,-8) is a solution of the given system of equations, because the point satisfies both equations. Hence, the correct option is C.
PLEASEEEE HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Answers
Answer:
36 and 45
Step-by-step explanation:
A yard stick is about how wide?
A. 4mm
B. 4cm
C. 4dm
Answers
Solve for x. 40x-6=1
Answers
40x = 1+6
40x = 7
x = 7/40
x= 0.175
Imagine 74.052 on a place value chart. Then, write it in expanded form using fractions and
decimals to express the decimal place value units. An example is shown for you.
Answers
Answer:
c) 74.052 in Expanded form with decimal form =
7 × 10 + 4 × 1 + 0 × 0.1 + 5 × 0.01 + 2 × 0.001
b) 74.052 in Expanded form with fractions =
7 × 10 + 4 × 1 + 0 × 1/10 + 5 × 1/100 + 2 × 1/1000
Step-by-step explanation:
We are given the number 74.052
The place value of each of the numbers is given as follows:
7 = Tens
4 = units
0 = Tenth
5 = Hundredth
2 = Thousandth
We are asked to write 74.052 in Expanded form of Decimals and fractions.
74.052 in Expanded form with decimal form =
7 × 10 + 4 × 1 + 0 × 0.1 + 5 × 0.01 + 2 × 0.001
74.052 in Expanded form with fractions =
7 × 10 + 4 × 1 + 0 × 1/10 + 5 × 1/100 + 2 × 1/1000
Here, we are required to write the number 74.052 in expanded form using fractions and decimals to express the decimal place value units.
The answer in fractions is;
(7×10) + (4×1) + (0×1/10) + (5×1/100) + ( 2× 1/1000)
The answer in decimal form is;
(7×10) + (4×1) + (0×0.1) + (5×0.01) + ( 2× 0.001).
From the number:
7 = tens4 = units. = decimal point0 = tenth5 = hundredth2 = thousandth(a) Therefore, to write the number in expanded form using fractions;
(7×10) + (4×1) + (0×1/10) + (5×1/100) + ( 2× 1/1000)
(b) Therefore, to write the number in expanded form using decimals;
(7×10) + (4×1) + (0×0.1) + (5×0.01) + ( 2× 0.001).
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A swim team ordered 36 jackets that each cost the same amount. The total cost of the order was $1,116. Let c be the cost of each jacket. How much did each jacket cost?
Answers
Answer:
c = $1116/36
c = $31
Step-by-step explanation:
the cost of each jacket can be determined by dividing the total cost of the 36 jackets by the number of jackets bought
cost of each jacket = total order cost / total number of jackets bought
$1116 / 36 = $31
Each jacket costs $31
How to turn 33.3 into a decimal and a fraction
Answers
Turn 33.3 into a fraction:
Write down 33.3 like this:
\(\dfrac{33.3}{1}\)
Multiply the numerator and denominator by 10(since there is 1 digit after the decimal):
\(\dfrac{33.3\times10}{1\times10} \rightarrow\dfrac{333}{10}\)
\(\dfrac{333}{10}\) would be the fraction form of \(33.3\).
To turn \(\dfrac{333}{10}\) into a decimal, divide the numerator by the denominator:
\(333\div10=33.3\)
Hope this helps!
Help me on this please it’s due please help me
Answers
Answer:
\( < \)
Step-by-step explanation:
\( < \)
solve for x. write the property that justifies each step
-5(6x+2)=10x-15
Answers
You are working with a satellite image of Anchorage, AK (∼150
∘
W) with the time stamp 0300Z, Dec. 3 2011. This means that it was 3AM on Dec. 3 at the Prime Meridian when the image was taken. What was the local time and day in Anchorage when the image was taken?
Answers
the local time in Anchorage when the image was taken was 5:00 PM, and the local day was Dec. 2, 2011.
To determine the local time and day in Anchorage when the satellite image was taken, we need to consider the time difference between the Prime Meridian (0 degrees longitude) and Anchorage, Alaska (approximately 150 degrees west longitude).
Each time zone is approximately 15 degrees wide, representing a one-hour difference in local time. Anchorage is in the Alaska Standard Time (AKST) zone, which is typically UTC-9 (nine hours behind UTC) during standard time.
Given that Anchorage is about 150 degrees west of the Prime Meridian, we can calculate the time difference as follows:
150 degrees / 15 degrees per hour = 10 hours
Therefore, when the image was taken at 0300Z (3:00 AM), Dec. 3, 2011, at the Prime Meridian, the local time and day in Anchorage were:
3:00 AM - 10 hours = 5:00 PM, Dec. 2, 2011
So, the local time in Anchorage when the image was taken was 5:00 PM, and the local day was Dec. 2, 2011.
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A student committee has 6 members -- 4 undergrad and 2 grad students. A subcommittee of 3 members is to be chosen randomly so that each possible combination of 3 of the 6 students is equally likely to be selected. What is the probability that there will be no graduate students on the subcommittee?
Answers
The probability that there will be no graduate students on the subcommittee = 4/20= 0.2
The probability of an event happening is determined by probability: P(A) = f / N. Probability and odds are related, but probability determines what the odds are. Probability is required before calculating the likelihood of an event. and here total 6 students in which 4 undergrad and 2 grad students A subcommittee of 3 members is to be chosen randomly so number of ways to choose = C (6,3)
and ways that no graduate students on the subcommittee is C (4,3)
and probability that there will be no graduate students on the subcommittee = f / N=C (4,3)/C (6,3)
= 4/20 = 0.2
he probability that there will be no graduate students on the subcommittee is 0.2
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The college is selling tickets to the basketball game for $59.30 each. So far, they have made $213,480 in ticket sales. How many tickets have they sold?
Answers
PLEASE HELP find the missing side round to the nearest tenth
Answers
Observing the provided right angled triangle and using the trigonometric identities associated with the sides of the right angled triangle. The answers are 9.042 , 18.01 and 61.81 .
What is a right angle triangle?A right triangle is a particular kind of triangle with a 90° angle. Trigonometry is based on right triangles and the relationships between their sides and angles.
What do you mean by trigonometry?The study of correlations between triangles' side lengths and angles is known as trigonometry.
for 4) tan(37) = x/12
x= tan(37) * 12 = 9.042
for 6) sin(51) = 14/x
x=14/sin(51) = 18.01
for 8) sin(15) = 16/x
x=16/sin(15) = 61.81
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solve the systems of equations.
2y - Зх -27
5y +3x = 6
Answers
Answer:
y = 33/7 and x = 41/7
Step-by-step explanation:
I'm writing this cuz I gotta get it to 20 characters.
191+13=13+191191+13=13+191
what type of property is that
Answers
what nice question that we can understand ok
What is multiplicative property of equality?
Answers
According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same. The formula for this property can be expressed in real numbers a, b and c. If a × c = b × c.
Property of Equality:
The equivalence property describes the relationship between two equal quantities. If you apply a math operation to one side of the equation, you must also apply it to the other side of the equation to maintain balance.
That is, a property that does not change the truth value of an equation or does not affect the equivalence of two or more quantities is called an equality property. These equality properties help solve various algebraic equations and define equivalence or equilibrium relationships.
Multiplicative Property of Equality:
According to this property, when both sides of an equation are multiplied by the same real number, both sides of the equation always remain the same.
The formula for this property can be expressed as for the real numbers a, b, and c.
If a × b, then, a × c = b × c.
In algebra, the multiplicative property of an equation helps extract unknown terms from an equation. Because multiplication and division are opposites of each other.
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what is the area of the figure below?
A. 58 in^2
B. 63 in^2
C. 61 in^2
D. 53 in^2
Answers
Answer:
d
Step-by-step explanation:
try d
-37 - 7r = -3(5r - 9)
Answers
Answer:
r=8
Step-by-step explanation:
-37-7r= -15r+27
-7r=-15r+64
8r=64
divide 8
r=8
Answer:
I have the answer:).
Step-by-step explanation:
According to a high-standard calculator, r = 8.
Hope I can help:)!!
Solve the following:
2x -7 /4= x + 3/3
Answers
Answer:
\(\frac{11}{4}\) or 2 \(\frac{3}{4}\)
Step-by-step explanation:
Here is one way to solve this problem
2x - \(\frac{7}{4}\) = x + 1 (3/3 is another way to write one) Multiply all the way through by 4
4(2x - \(\frac{7}{4}\)) = 4(x + 1) Distributive property
8x -7 = 4x +4 Subtract 4x from both sides
4x - 7 = 4 Add 11 to both sides
4x = 11 Divide both sides by 4
x = \(\frac{11}{4}\)
Find the percent of change from 160 cups to 404 cups
Answers
The percent of change from 160 cups to 404 cups is 252.5%.
To find the percent of change between two values, we use the following formula:
percent change = (new value - old value) / old value * 100%
In this case, the old value is 160 cups and the new value is 404 cups, so we can substitute these values into the formula:
percent change = (404 - 160) / 160 * 100%
percent change = 2.525 * 100%
percent change = 252.5%
This means that the new value (404 cups) is 252.5% greater than the old value (160 cups). Alternatively, we can say that the old value (160 cups) is 60.25% of the new value (404 cups).
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Which correctly describes a cross-section of the right rectangular prism if the base is a rectangle measuring 15“ x 8“? Select three options..
A. A cross-section panel to the base is a rectangle measuring 15“ x 8“. B. A cross-section parallel to the base is a rectangle measuring 15“ x 6“. C. A cross-section perpendicular to the base through the midpoint of the 8 inch sides is a rectangle measuring 6“ x 15“. D. A cross-section perpendicular to the base through midpoints of the 8 inch sides is a rectangle measuring 4“ x 15“. E. A cross-section not parallel to the base that passes through opposite 6 inch edges is a rectangle measuring 6 inches by greater than 15 inches.
Answers
Answer:
b
Step-by-step explanation:
Rock musician Donny West is paid 15% on his tour video online sales. Last year fans downloaded his songs 991,000 times, and he also sold 550,000 videos. The songs are downloaded for $1.09 each and the videos were downloaded for$9 each. What was the total monetary amount of song downloads?
Answers
The Total Monetary amount amassed in song downloads was 1,080,190 dollars.
The following question can easily be solved by simply multiplying the song downloads with the amount received per download:
991,000×1.09= 1,080,190 dollars
Also, total sales in videos:
550,000x9= 4,950,000 dollars
So, total amount received by selling videos and song downloads= 1,080,190+4,950,000= 6,030,190 dollars
Donny West's share is about 15% of the total amount= \(\frac{15}{100}\) × 6,030,190= 904,529 dollars.
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Consider the expression 6+(-3.25). Describe a situation that could be represented by the expression.
Answers
Answer:
you have 6 girlfriends you kill 3.25. so you want them back so you multiply 6 by -3.25
Step-by-step explanation:
Answer:
You are buying some snacks, the total comes out to be $6.00. You realize you olny have $2.75. You decide to put away $3.25 worth of snacks.
Step-by-step explanation: