Answers
y-4 = 7/2 (x-2)
y = 7/2x - 3
Answer:
[tex]\displaystyle y=\frac{7}{2}x-3[/tex]
Step-by-step explanation:
We wan to determine the equation of a line that passes through the point (2, 4) and is parallel to:
[tex]\displaystyle y=\frac{7}{2}x-5[/tex]
Since our new line is parallel to our equation, this means that the two lines have the same slope.
Therefore, the slope of our new line is also 7/2, the slope of the original.
Now, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, we will substitute 7/2 for m.
Let's let our point (2, 4) be (x₁, y₁). Hence:
[tex]\displaystyle y-4=\frac{7}{2}(x-2)[/tex]
Solve for y. Distribute:
[tex]\displaystyle y-4=\frac{7}{2}x-7[/tex]
Add 4 to both sides.Therefore, our equation is:
[tex]\displaystyle y=\frac{7}{2}x-3[/tex]
Related Questions
Tom the turkey is 2.5 feet tall and he casts a shadow that is 4 feet. The Thanksgiving Parade float version of Tom is 14 feet tall. How long is the shadow of the parade float?
Answers
Answer:
22.4 ft
Step-by-step explanation:
Given
[tex]Height = 2.5ft[/tex]
[tex]Shadow = 4ft[/tex]
Required
Determine the shadow of 14 ft Tom
The given parameters represents direct variation.
Let x represents the shadow of Tom.
So, we have:
When
[tex]2.5ft\ height = 4ft\ Shadow[/tex]
[tex]14ft\ height = x[/tex]
Cross Multiply:
[tex]2.5 * x = 14 * 4[/tex]
[tex]2.5 * x = 56[/tex]
Solve for x
[tex]x = 56/2.5[/tex]
[tex]x = 22.4[/tex]
Hence, the height of the shadow is 22.4ft
this question is about Ratio tables help I'm struggling
Answers
3 * 2.1 = 6.3 trees for 3 cabins
7 * 2.1 = 14.7 trees for 7 cabins
Answer:
Step-by-step explanation:
fguyy
A store pays $10 for each video game. The store’s percent of mark up is 20%. Which shows the retail price of the video game?
Answers
Answer:
$12
Step-by-step explanation:
Kelly had a Hershey chocolate bar. She broke the bar into 5 pieces. Her friend Grace
ate 2/5 of the bar, Her friend Kayla ate 1/5 of the same bar. How much of the bar was
left for Kelly to eat?
Answers
Answer:
2/5 is left
Step-by-step explanation:
What is 4/6 dived by 3/12
Answers
Answer:
8/3
Step-by-step explanation:
Part A )a painter leans a ladder up against a building. The base of the ladder is placed 7 feet from the building to reach a height of 24 feet. How long is the ladder
Part B) The painter uses the same ladder from part A, but now needs to reach a height of 19 feet.How far away does the base of the ladder need to be placed from the building?
Answers
Answer:
Part A). 25 feet
Part B). 16.25 feet
Step-by-step explanation:
Part A). By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = (24)² + 7²
AC² = 576 + 49
AC = √625
= 25 feet
Part B). By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(25)² = (19)² + x²
625 = 361 + x²
x² = 625 - 361
x = √264
x = 16.25 feet
4(14-5)²÷2
HELP ASAP TY
Answers
Answer:
I think it's 162.
Step-by-step explanation:
Answer:
162
Step-by-step explanation:
Following PEMDAS
4(14-5)^2 ÷2
4(9)^2 ÷ 2
4(81) ÷2
324÷2
162
PLEASE HELP AS SOON AS POSSIBLE WILL GIVE BRAINLIEST
Simplify the expression (x^3-5x^2+7x-12)/(x-4) using long division. Show your work.
Answers
Answer:
Step-by-step explanation:
x^2 - x +3
___________
x-4 | x^3-5x^2+x-12
| x^3-4x^2
|__________
| -x^2 +x
| -x^2+4x
| __________
| -3x -12
-3x-12
|____________
0
If the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.
What is meant by an expression?An equation is not the same as a mathematical expression. Expressions represent a group of integers, as opposed to equations, which represent a single number.
A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
The mathematical procedure for dividing large numbers into numerous smaller groups or parts is known as long division. The dividend is the number we divide into smaller groups, and the divisor is the number by which we divide. A problem can be solved by breaking it down into manageable steps.
Let the expression be (x³ - 5x² + 7x - 12) / (x-4)
[tex]$x^3-5 x^2+7 x-12=(x-4)\left(x^2-x+3\right)$[/tex]
simplifying the above equation, we get
[tex]$=\frac{(x-4)\left(x^2-x+3\right)}{x-4}$[/tex]
Cancel the common factor: x - 4
= x² - x + 3
Therefore, if the expression be (x³ - 5x² + 7x - 12) / (x-4) then the remaining exists x² - x + 3.
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Solve -7w + 6 = -4w2 using the Quadratic Formula.
W =
and w=
Answers
Answer:
w=7±i√47
-----------
8
Step-by-step explanation:
I am sorry for all the people I am making mad.
Answers
Answer:
who are you making mad??...
Step-by-step explanation:
Answer:
Step-by-step explanation:
The order pair (0 , 0) is a solution to the inequality x > -2 True True False
Answers
Answer: true
Step-by-step explanation:
Answer:
True, because when x is zero (which is greater than -2), y is 0 Which is also true.
evaluate the piece wise function
Answers
Answer:
i think [tex]g(12)=\frac{5.12}{6}=10[/tex] because if t = 12, t will not satisfy the first and last equation (in the first equation, t<6 and in the last equation t> 12)
so t = 12 only satisfy the second equaton with 6≤t≤12
Step-by-step explanation:
Find the slope of the line that passes through (8,10) (1,1)
Answers
Answer:
9/7
Step-by-step explanation:
slope m= rise/run= (y2-y1) / (x2-x1)
m= 10-1/8-1 = 9/7
Find the slope of the line that passes through (9,10) and (6,8)
Answers
Answer:
2/3x+4
Step-by-step explanation:
Answer:
m=2/3
Step-by-step explanation:
y1-y2= 10-8=2
x1-x2=9-6=3
Find the volume of the cone.
175.9 m3
Correct Answer
167.6 m3
Incorrect Response
418.9 m3
502.7 m3
Answers
Answer:
B
Step-by-step explanation:
Simplify.
3
(-4a64)
Write your answer without parentheses.
Answers
Answer:
64w2.
Step-by-step explanation:
Is the relation shown in the arrow diagram a function? Justify your answer.
Answers
Answer:
NO
Step-by-step explanation:
For a relation to be a function, every input (x-value) must have exactly one output (y-value) mapped to it or related to it.
This means, in a function, an input value cannot give you two different outputs.
Therefore, relation shown in the arrow diagram IS NOT A FUNCTION, because one of the inputs (x-value), which is 1.2, has two different outputs (y-value) that is mapped or related to it, which are 6 and 8.
You buy
3.16 pounds of
pears,
1.15 pounds of
apples, and
2.18 pounds of
peaches. What is your total bill?
1.19 pears, 0.99 apples, 1.29 peaches
Answers
Answer:
if the prices at the bottom are per pound, then:
pears = 3.7604 (3.76)
apples = 1.1385 (1.13)
peaches = 2.8122 (2.81)
total bill = 7.07
Step-by-step explanation:
pears =
1.19 x 3.16 = 3.7604 (3.76)
apples =
0.99 x 1.15 = 1.1385 (1.13)
peaches =
1.29 x 2.18 = 2.8122 (2.81)
total bill =
3.76 + 1.13 + 2.81 = x
x = 7.7
7.7 money-wise = 7.07 (i think)
total bill = 7.07
OR
total bill =
3.7604 + 1.1385 + 2.8122 = x
x = 7.7111
----------------
7.7111 = 7.7 = 7.07
For the graph, locate the x-intercept and the y-
intercept.
The x-intercept is at
The y-intercept is at
Answers
y intercept= -2
Answer:
(6,0)
(0,-2)
Step-by-step explanation:
what is the answer to this? what does a equal?−6(−4+5)=−30+6
Answers
Answer:
I guess it would be 36?
Step-by-step explanation:
is -33 a whole number?
Answers
Answer/Step-by-step explanation:
-33 is not a whole number. A whole number is a number(positive) that contains no decimals nor fractions.
PLZ HELP! QUESTION IS BELOW!
Answers
Answer:
27
Step-by-step explanation:
4 touchdown passes=24
18 complete passes=34
8 incomplete passes=30
2 interceptions=27
Final answer=27
A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples. How much money does the student spend at lunch, in dollars and cents?
Answers
Answer:4.75
Step-by-step explanation:
do the math all you will get what i got
The student spends at lunch 4.75 dollars or 475 cents.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples.
Now,
Since, A student spends $1.85 for a sandwich, $1.15 for a drink, $0.65 for a bag of chips, and $1.10 for two apples.
Hence, The amount of total money in dollars is,
⇒ $1.85 + $1.15 + $0.65 + $1.10
⇒ $4.75
We know that;
⇒ 1 dollar = 100 cents
Hence, we get;
⇒ 4.75 dollars = 4.75 × 100
= 475 cents
Thus, The student spends at lunch 4.75 dollars or 475 cents.
Learn more about the measurement unit visit:
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Charlie has a giant bag of gumballs and wants to share them with his friends. He gives half of what he has to his buddy, Jaysen. He gives half of what's left after that to Marinda. Then he gives half of what's left now to Zack. His mom makes him give 5 gumballs to his sister. Now he has 10 gumballs left. How many gumballs did Charlie have to begin with?
Answers
Answer:
120 gumballs
Step-by-step explanation:
Let
x = total gumballs
Buddy = 1/2x
Balance = x - 1/2x
= 2x-x/2
= 1/2x
Miranda = 1/2 of 1/2x
= 1/2 × 1/2x
= 1/4x
Balance = 1/2x - 1/4x
= 2x-x/4
= 1/4x
Zack = 1/2 of 1/4x
= 1/2 × 1/4x
= 1/8x
Balance = 1/4x - 1/8x
= 2x-x/8
= 1/8x
His sister = 5
Balance = 1/8x -5
10 = 1/8x - 5
10 + 5 = 1/8x
15 = 1/8x
x = 15 ÷ 1/8
= 15 × 8/1
= 120
x = 120 gumballs
Which one does not belong?
a. 10 miles per 2 hours west
b. 33 km/s north
c. coming to a stop
d. 9 m/s upward
Answers
Answer:
i would think that the answer is c. coming to a stop
Answer: C doesn’t belong
Los lados de un cuadrilátero mide 6,8,7,9con tal como se muestra en la figura si se realiza una producción sensual y al lado correspondiente a 7ck haora mide 12cm ¿cuánto debe medir los demás lados
Answers
Answer:
The other sides 6,8, and 9 will be11cm, 13cm, and 14cm respectivelyStep-by-step explanation:
Step one:
given that the sides of the quadrilateral are:
6,8,7, and 9 in dimension.
And the side corresponding to 7 now measures 12
we may agree that the side has increased by 5cm, hence 5 has been added to that side.
Step two:
we can say that the other side will increase as follows
[tex]side_6= 6+5= 11cm\\\\side_8=8+5=13cm\\\\side_9=9+5=14cm\\\\[/tex]
will mark brainliest
Answers
Answer:
[tex]x\geq -6[/tex]
Step-by-step explanation:
If we graph it, we see that the function exists when [tex]x\geq -6[/tex]. Not sure what more I can say.
I hope this helps!
Answer:
D
Step-by-step explanation:
The domain must not let 1/3 x + 2 go less than 0. So equate this binomial to 0 and then use the < or > symbol to indicate what the minimum value is.
1/3 x + 2 = 0 Subtract 2 from both sides
1/3 x = - 2 Multiply 3
3(1/3) x = - 2 * 3
x = - 6
So if x is less than - 6 the binomial will go negative and that is not a permitted value at this level.
So x must be - 6 or bigger.
Let's see what happens when x = - 6
1/3 ( - 6) + 2
-2 + 2
0
That's the minimum value for the domain.
Now try - 9
1/3(-9) + 2
- 3 + 2 = -1
That means you will have √-1 which does not exist in the rational world.
Now try x = 9
1/3 (9) + 2
3 + 2 = 5 which is fine.
So the answer you seek is x ≥ -6
If the value of 2x^3 is 2, then what is the value of ?
Answers
Answer:
34
Step-by-step explanation:
34
Hope this helps
What is the solution
Answers
Answer:
Infinite amount of solutions.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
y = -3x - 2
4y = -12x - 8
Step 2: Solve for x
Substitute in y: 4(-3x - 2) = -12x - 8Distribute 4: -12x - 8 = -12x - 8Add 8 to both sides: -12x = -12xDivide both sides by -12: x = xHere we see that x does indeed equal to x. Therefore, x can be any value.
∴ The systems of equations have infinite amount of solutions.
PLEASE HELPP WILL GIVE BRAINLIEST IF CORRECT!! no copied answers!
Answers
if x is 100 the units would be 96
if x is 102 the units would be 98.07