Answer: y=3x+3
Step-by-step explanation:
The equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
The point (1, 6) and is perpendicular to the line x + 3y = 27
The slope of the line x + 3y = 27
m = -1/3
The slope of the line perpendicular to the line x + 3y = 27:
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
M = 3
The equation of the line:
y - 6 = 3(x - 1)
y = 3x + 3
Thus, the equation of the line that passes through the point (1, 6) and is perpendicular to the line x + 3y = 27 is y = 3x + 3
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4. Complete the following two-column proof.
Given: 5x - 2 = -12
Prove: x = -2
help please.
Answer:
x does equal -2
Step-by-step explanation:
Substitue x = -2:
[5(-2) -2 = -12]
Simplify:
[-10-2 = -12]
Add/Subtract from left to right:
[-12 = -12]
Therefore:
x = -2
Solve for x: 3(x + 1) = −2(x − 1) − 4.
Answer:
x = -1
Step-by-step explanation:
3(x+1) = -2(x-1) - 4 (Use the distributive property on both sides)
3x + 3 = -2x + 2 - 4 (collect like terms on the right side)
3x + 3 = -2x - 2 ( add 2x on both sides)
5x + 3 = -2 ( subtract 3 on both sides)
5x = - 5 (divide by 5 on both sides)
x = -1
joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours then which of the following quantities is an appropriate representation of the number of minutes joe and his friends spent watching movies
the number of minutes joe and his friends spent watching movies are 4920 minutes.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours.
Assume that the number of minutes joe and his friends spent watching movies is given by [x]. Then, we can write -
[x] = 41 x 2 x 60
[x] = 41 x 120
[x] = 4920 minutes.
Therefore, the number of minutes joe and his friends spent watching movies are 4920 minutes.
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Charles Babbage is known as the father of computer why
Answer:
Charles Babbage, who was born in 1791, is regarded as the father of computing because of his research into machines that could calculate. Babbage's Difference Engine Number 1 was the first device ever devised that could calculate and print mathematical tables.
Victor runs 3 laps around the track every 5 minutes. How many laps does Victor run in 1 minute?
Answer:
Victor runs 0.6 of a lap in 1 minute
Step-by-step explanation:
From the question;
3 laps = 5 minutes
x laps = 1 minute
3 * 1 = 5 * x
3 = 5x
x = 3/5
x = 0.6
Victor runs 0.6 of a lap in a minute
Tina is building a birdhouse. The plans have a scale of
1 cm : 2.5 inches. A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
Answer: Actual area of wall = 50 sq. inches
Step-by-step explanation:
Given: Scale : 1 cm : 2.5 inches
A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
So, Actual length = 2 x 2.5 inches = 5 inches
Actual width = 4 x 2.5 inches = 10 inches
Actual area = Actual length x Actual width
= 5 x 10 = 50 sq. inches
Hence, Actual area of wall = 50 sq. inches
f(z) = (2 + 6)
a=
h=
k=
Step 2: Use the information given in the problem to find the value of k, called the ... 1 – If y varies jointly as x and z, and y = 12 when x = 9 and z = 3, find z when y = 6 ... In this case, you should use v, h, and r instead of x, y, and z and notice how ...
A truck traveling East at a velocity of 40.0 m/s comes to a complete stop. How much time it will take for the truck to stop if it decelerates at -5.0 m/s2
what postúlate proves the triangle congruent
a.ASA
b.HL
c.SAS
d.SSS
e.AAS
Problem 11. *
11. Grace has $6 to buy a gallon of milk and some apples. The gallon of milk costs $3.59 and the apples
cost $0.60 each. Which inequality could she use to find out how many apples she can buy?
A) 6 2 0.6x + 3.59
B) 6 S 0.6x + 3.59
C) 6 S 0.6x - 3.59
D) 6 2 0.6x - 3.59
Answer:
Step-by-step explanation:
a
Which of the following is an equivalent expression with 3(7 + 2x)
Answer:
21+6x
Step-by-step explanation:
I dont know if it is a choice but this works
you just distribute so 3*7+(3*2x)=21+6x
hope this helps
brainliest?
please
Combine like terms to create an equivalent expression. -\dfrac{1}{2}\left(-3y+10\right)−
2
1
(−3y+10)
Answer:
3/2y-5
Step-by-step explanation:
The expression – 1/2 (–3y + 10) is equivalent to the expression (3/2)y – 5.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ – 1/2 (–3y + 10)
Simplify the equation, we have
⇒ (3/2)y – 5
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I need helps please and ty
Answer:
y=7x+4
Step-by-step explanation:
Values of x and y satisfy the equation y=7x+4
I WILL GIVE BRAINLEST PLZ HELP!!!
Analyzing Slope On a coordinate plane, a line goes through points (4, 24) and (16, 18). Willa says the slope of the graph is Negative one-third. What error did she make when finding the slope? The slope is positive instead of negative. She counted the squares instead of using the scale. She used the points that are further apart instead of the two consecutive points. She used StartFraction rise Over run EndFraction when finding slope.
Step-by-step explanation:
The Slope is calculated as the change in y over the change in x so you would need to do 5- (-5) which turns the negative sign to a positive making it 5+5=10 and the same thing with the 2s 2-(-2)=4 so the answer would be 10/4 or 5/2. Willa did the reciprocal.
if it's a multiple chose then the answer is b
hope this helps
Answer:
here is the answer
Step-by-step explanation:
Is Figure A a reflection of Figure B?
Answer:
No
Step-by-step explanation:
Two congruent figures
have the same perimeter.
O sometimes
O Never
O Always
Answer:
always
Step-by-step explanation:
A fruit basket has 6 apples.
It has twice as many oranges as apples and twice as many
apples as bananas. How many more oranges than bananas
are there? Write the equation & answer
Answer: There are 9 more oranges than bananas because there are 6 apples, 12 oranges, and 3 bananas. (12-3=9)
2c - 12 = 9C + 2
How do i solve this
The denominator of a fraction is 15. The fraction is equivalent to 3/5. What is the fraction
Answer:
9/15
Step-by-step explanation:
because you would divide 15 by 5 and get 3 and then you would multiply the 3 by 3 and get 9.
Answer:
9/15
Step-by-step explanation:
you write the fraction 3/5 then you divide 5 by 15 you'll get 3 then 3×3 it will be 9 which is the denominator
Help me please
Find the slope
Answer:
this is a negative slope.
Step-by-step explanation:
help me pllsssssss i am havig trouble
Answer:
First line
Step-by-step explanation:
It's an X-intercept line so you're plugging in the number that the dot is on in place of the X in the formula
Please help will give brainliest (please don’t answer if you don’t know it)
Answer:
it is 3 or 21
Step-by-step explanation:
because STUVW is equal to HGFED
What are school of fish ?
Answer:
if the fishes stay together for some reasons then it is shoaling if the group is swimming in same direction then it is schooling
please help ASAP i don't understand what to do
Answer:
Range is (-5,5)
Step-by-step explanation:
It is the range of y values for the graph
find the cube of 2.9
[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]
Answer:The cube of [tex]2.9[/tex] is [tex]24.389[/tex].
Carla is ordering pizzas for delivery. Each pizza costs $8, and there is a $6 delivery charge for the order. Write the function f(x), that Carla can use to determine the amount she will pay for having x pizzas delivered.
Answer:
8x+6
Step-by-step explanation:
Because each pizza is $8 you would have to multiply 8 by the amount of pizzas. Then you add the six because you only pay for the delivery charge once.
is 6 rational or irrational??
Answer:
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
Hello!
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
❖ The number 6 is an integer
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :)
Step-by-step explanation:
Answer:
6 is rational.
Step-by-step explanation:
6 is rational because it is classified as a natural/counting number and a whole number.
Explain how using
basic facts can help you find 10 x 20 x 30 x 40 mentally.
Answer:
you just do 1x2x3x4
and then that equals 24
so now you have 24 and then you add 4 zeros because their are 4 zeros in the equation so then the final answer is
240000
Step-by-step explanation:
A cookie recipe calls for 2 cups
of sugar.
How much sugar will I need if I
only make 2/3 of a batch?
Answer:
6
Step-by-step explanation:
Answer:I am not sure about the answer but when 2 multipled by 3 X 2 equals to 4/3
Find the area of the polygon with
E(3, 1), F(3, – 2), GC – 2, - 2)
Answer:
7.5 square units
Step-by-step explanation:
A = (.5)bh
= (.5)(3)(5)
= (.5)(15)
= 7.5