The equation of the line that passes through the point(1, 3) and is perpendicular to the line 2x + 3y = 15 is y = 3 / 2x + 3 / 2.
How to find the equation of a line perpendicular to another?The line passing through (1, 3) is perpendicular to the equation 2x+3y=15.
Therefore,
y = mx + b
where
m = slopeb = y-interceptHence,
3y = -2x + 15
y = -2 / 3 x + 5
For line to be perpendicular it must follow the following rules;
m₁m₂ = -1
m₁(-2 / 3) = -1
-2m₁ = -3
m₁ = 3 / 2
Therefore, the equation can be found as follows:
3 = 3 / 2(1) + b
3 = 3 / 2 + b
b = 3 - 3 / 2
b = 6 - 3 / 2
b = 3 / 2
Hence,
y = 3 / 2x + 3 / 2
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Write 5 pounds for $2.49 as a unit rate. Round to the nearest hundredth
Answer:
$0.50/pounds
Step-by-step explanation:
5 pounds= 2.49
1 pound = $2.29 ÷ 5 = $0.50 (nearest hundredth)
write an expression with a constant of -4 and a coeffiecient of 2
Answer:
2x^2 - 4
Step-by-step explanation:
- A "constant" in an equation is a number that stands alone, with no attached variable or exponents.
- A "coefficient" is a number placed before a variable that is multiplying with the variable. For example, 2 would be the coefficient of 2xy, because it is the number you are multiplying "xy" by.
help me please. its due soon
Answer: y = 11
Step-by-step explanation:
first, i collected the like terms.
7y + 9 = 4y + 42
then, i moved the terms.
7y - 4y + 42 - 9
then, i collected the like terms and calculated it.
3y - 33
finally, i divided both sides.
y = 11
Answer:
y = 11
Step-by-step explanation:
-5y + 12y + 9 = 4y + 42
Add like terms on the left side, -5y + 12y.
7y + 9 = 4y + 42
Subtract 4y from both sides.
3y + 9 = 42
Subtract 9 from both sides.
3y = 33
Divide both sides by 3.
y = 11
8. (01.05 MC)
Which of the following equations represents the greatest value of x? (5 points)
Equation 1 Equation 2 Equation 3 Equation 4
x2 = 35 x3 = 64 = 125 x2 = 38
x3 =
Equation 1
Equation 2
Equation 3
Equation 4
equation 4 is the greatest
2. Draw a line 1. Draw a perpendicular to lat any point on /
is
not required)
Which expression is equivalent to sqrt 2x^5/18 assume x is greater than or equal to 0
Answer:
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex] = [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
Step-by-step explanation:
Given expression
[tex]\sqrt{\frac{2x^{5} }{18} }[/tex]
we know that the algebra formula
[tex]\sqrt{\frac{a}{b} } = \frac{\sqrt{a} }{\sqrt{b} }[/tex]
[tex]\sqrt{\frac{2x^{5} }{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{18} } = \frac{\sqrt{2} \sqrt{x^{5} } }{\sqrt{9} \sqrt{2} }[/tex]
= [tex]\frac{\sqrt{x^{5} } }{3}[/tex]
Find −39÷(−13) help me
Answer:
3.
Step-by-step explanation:
- / - = +
-39 / -13
= 3
3.(02.07)
Two similar triangles are shown below:
a
5
6
2.5
3
Which two sets of angles are corresponding angles? (4 points)
Za and Zd; Zb and 20
Za and Zc; Zb and zd
Za and Ze; Zb and zd
d
Za and Ze; Zb and ZC
Answer A
Step-by-step explanation:
The solution is, <a and <d; <b and <c, these two sets of angles are corresponding angles. of the triangles. So, correct answer is A. <a and <d; <b and <c.
Here, we have,
When two triangles are said to be similar, the ratio of the corresponding sides of both triangles is always the same, also, their corresponding angles are congruent. That is, they are equal.
The 2 set of angles that are corresponding angles of the two similar triangles given in the question above are:
<a and <d; <b and <c.
Both set of angles are congruent to each other. In other words, they are equal.
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Line p has a slope of 6/7. Line q is perpendicular to p . What is the slope of line q
Answer:
The slope of line q is -7/6
Step-by-step explanation:
To find the slope of a perpendicular line, you need to find the opposite reciprocal. So, flip the fraction (7/6) and then take the opposite, (-7/6).
Hope this helps!
The table shows some values of x and y that satisfy the equation y=acosx + b
Answer:
By an online search, i found that the table is:
x = 0° 30° 60° 90° 120° 150° 180°
y= 10 4+3*√3 7 4 1 4 -3*√3 -2
Where x is in degrees.
And we want to find the value of y, when x = 45°.
And our equation is:
y = a*cos(x) + b
Notice that we have two variables in our equation, a and b, then we need to choose two of the points in the table to write equations.
I will choose te points
x = 0°, y = 10
and
x = 90°, y = 4
Now we can replace these values in the equatio to get:
10 = a*cos(0°) + b
4 = a*cos(90°) + b
We know that:
cos(0°) = 1
cos(90°) = 0
(because of those relationships is that i choosen these points)
Replacing that in the equations, we get:
10 = a*1 + b = a + b
4 = a*0 + b = b
From the second equation, we get:
b = 4
Now we can replace this in the first equation to get:
10 = a + b = a + 4
10 - 4 = a = 6
Then our equation is:
y = 6*cos(x) + 4.
Now we want to find the value of y when x = 45, to do it, we just replace the value of x in that equation:
y = 6*cos(45°) + 4 = 6*(√2/2) + 4 = 8.24
Please help me thanks please
Answer: 2827 cm squared is the answer
Write in slope-intercept form.
What is probability of selecting a VOWEL in the word MATHEMATICS? Simplify your answer? I WILL MARK BRAINLIST FOR THIS!
Answer:
4/11
Step-by-step explanation:
There are 4 vowels: A, E, A, I
There are 11 characters total, so the probability is 4/11, which is simplified.
7th grade math help me please :)
Answer:
8x+10y cannot be simlified because they do not have a common variable
so until you find the value for x and y u cannot simplify
Answer:8 x+ 10 y can not be simplified .
Step-by-step explanation:
Explanation:This is because the term are not the same.8x has the term x while 10 y has the term y.
Determine which transformation took place from f(x) to g(x).
Translation.
Rotation.
Reflection.
Answer:
mali aaudina so sorry and again please don't asked me
A linear function has a y-intercept of -12 and a slooe of 3/2. What is the equation of the line?
What are the steps to the answer
The equation for bryce's running rate is y=5x and for Laila it is y=8x. Who is running faster?
Answer:
8x
Step-by-step explanation:
Answer:
I think it is 8x
Step-by-step explanation:
Hope this helped have an amazing day/month/year!
Marcus has different songs on his iPad 84 of the songs he downloaded were free of this number represents 24% of the total number of songs on his iPod how many songs does he have on his iPod
Answer:
84-24%=63.84
Step-by-step explanation:
James is following this recipe to make flapjacks.
James uses 660 ml of syrup.
How many flapjacks is James making?
Recipe: Makes 8 flapjacks
60 g sugar
110 ml syrup
200 g oats
120 g margarine
30 g sultanas
A group of 169 students needs to be seated in a square formation for a yearbook photo. Solve the equation 169 = s 2to find how many students should be in each
Answer:
13 students per row
13 rows total
(169\13=13)
[tex] \frac{x { + 1}^{2} }{x - 2 {3}^{3[/tex]
Answer:
[tex] \frac{ {(x + 1)}^{2} }{ {(x - 2)}^{3} } [/tex]
Trey has 75 in his saving account. Each month he deposits 25 into the account. Which expression shows the amount of money that Trey deposits in 3 months.
Answer: 75 + 25(3)
Step-by-step explanation:
From the question, we are informed that Trey has 75 in his saving account and that each month he deposits 25 into the account.
The expression that shows the amount of money that Trey deposits in 3 months would be:
= 75 + 25m
where, m = number of months
= 75 + 25(3)
= 75 + 75
= 150
Please guys help me I need help to get an A+
Which option gives the correct equation and description for the line that passes
through the points A(2, -1) and B(2,0).
O A vertical line with the equation x = 2
A horizontal line with the equation y = 2
A horizontal line with the equation x = 2
A vertical line with the equation y = 2
Answer:
Step-by-step explanation:
No matter what the value of y is, x = 2. That's exactly what the answer is.
The line is vertical and the equation is x = 2.
In a pet shop, there are generally 14 dogs for every 3 cats. How many cats would you expect if there were 98 dogs?
someone plz help me I have until 11:59pm
Answer:
21 cats
Step-by-step explanation:
98/14=7 7x3=21
Answer:
21 cats
Step-by-step explanation:
98/14=7
7 times 3=21
If the number of medical school applicants was estimated to be 35,505,900 in January 2016, and the number of students admitted to medical schools was estimated to be 4% of the applicants, calculate the number of successful applicants.
Answer:
1,420,236
Step-by-step explanation:
According to the problem, computation of the given data are as follows,
Total number of applicants = 35,505,900
Applicants admitted = 4% of total number of applicants
So, Number of successful applicants = Applicant admitted percent × Total number of applicant
By putting the value, we get
Number of successful applicants = 35,505,900 × 4%
= 1,420,236
A rectangle is formed by the intersection of the lines x = −1, y = −1, x = 5
and y = 3.
What is the perimeter and area of the rectangle?
Answer:
X angle
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!!!!!!!!
There are approximately 33,600 species of fish in the world. About 32,928 species of fish come from the world's three largest oceans and of these, 23,520 species of fish come from the Pacific Ocean.
What is the probability of selecting a species of fish that comes from the Pacific Ocean given that a species of fish is selected from those coming from the world's three largest oceans?
A. 32,928/33,600
B. 23,520/32,928
C. 23,520/33,600
D. 9,408/32,928
Answer: B. [tex]\dfrac{23520}{32928}[/tex]
Step-by-step explanation:
Let A = Event that species of fish comes from the Pacific Ocean .
B = Event that species of fish comes from world's three largest oceans.
To find : P(A |B)
Formula : [tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
Here,
[tex]P(B)=\dfrac{32928}{33600}\ \ \ [Probability =\dfrac{favourable\ outcomes}{Total outcomes}][/tex]
[tex]P(A\cap B)=\dfrac{23520}{33600}[/tex]
[tex]P(A|B)=\dfrac{\dfrac{23520}{33600}}{\dfrac{32928}{33600}}=\dfrac{23520}{32928}[/tex]
Correct option : B. [tex]\dfrac{23520}{32928}[/tex]
Answer:
B.
Step-by-step explanation:
geometry b final exam
In an on-line survey, a school learns that 77 of 100 parents prefer to receive the newsletter electronically. How many paper newsletters would the school estimate are needed if there are 650 parents?
The number of paper newsletters the school needed is given by the equation A = 149.5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of paper newsletters the school needed be A
Now , the equation will be
The percentage of parents who prefers newsletters electronically = 77 %
So , percentage of parents who prefers paper newsletters = 100 % - 77 %
The percentage of parents who prefers paper newsletters = 23 %
The total number of parents = 650
So , the number of paper newsletters the school A = percentage of parents who prefers paper newsletters x total number of parents
Substituting the values in the equation , we get
The number of paper newsletters the school A = ( 23/100 ) x 650
The number of paper newsletters the school A = 149.5
Therefore , the value of A is 149.5
Hence , the equation is A = 149.5
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