Answer:
y = [tex]\frac{3}{5}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x + 3y = 15 ( subtract 5x from both sides )
3y = - 5x + 15 ( divide all terms by 3 )
y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form
with slope m = - [tex]\frac{5}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus
y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, 1) into the partial equation
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line
Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
The equation of the line is; 3x - 5y = 10.
By comparison with the equation of a straight line: y = Mx + c
The equation 5x+3y=15 can be rewritten as ;
y = (-5/3)x + 5
Therefore, the slope of the equation is; (-5/3)
The product of the slope of two perpendicular lines is: -1.
therefore m1m2 = -1
Therefore; M2 = -1/(-5/3)
Therefore M2 = 3/5
The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;
3/5 = (y - 1)/(x - 5)
By Cross product;
3x - 15 = 5y -5
Therefore, the equation of the line is;
3x - 5y = 10.
Read more:
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If the question was ”rewrite √︎(x) • ∜︎(x) in it's simplest rational exponent form” would the answer be 4x or x¾ ?
Answer:
x^3/4.
Step-by-step explanation:
√︎(x) • ∜︎(x)
= x^1/2 * x^1/4
= x^3/4.
please help help help
Answer:
I'm fairly sure its 4.93 grams.
Step-by-step explanation:
you take the origional water of 45.1ml and the new 52.3ml, and find the difference, which in this case is 7.2ml.
the density formula is D=M/V
D= Density
M=Mass
V=Volume
so it would be
D= 35.49/7.2
which is 4.93.
again this is just from what I remember of science class.
Answer: 4.93g/cm^3
Step-by-step explanation:
Formula for Density: D = mass / volume
We know that the mass of the unknown object is 35.49g
Mass = 35.49g
To find the volume
Initial water level: 45.1 mL
Final water level: 52.3mL
52.3cm^3 - 45.1cm^3 = 7.2cm^3
Volume = 7.2cm^3
Density = 35.49g/7.2^3
Density =
What is the slope of the line in the graph?
-4/3
-3/4
3/4
4/3
Answer: -3/4
Step-by-step explanation: I'M SMART
2. and 100 are a zero pair.jia
Answer:
More information please
Step-by-step explanation:
There is not enough information to complete the equation.
The town of hillside has an elevation of 50 feet above sea level. The town of Lakeside has an elevation of -35 feet. A bicyclist rides from Lakeside to Hillside,and wants to find his change in elevation. He finds the difference between his final elevation, 50 feet, and his starting elevation, -35 feet. What is the difference?
Answer:
The difference is 85 ft.
Step-by-step explanation:
Elevation 1: 50 ft
Elevation 2: -35 ft
Difference = Elevation 1 - Elevation 2
Difference = 50 - (-35)
I can simplify this expression, as subtracting a negative number is the same as adding a positive number:
Difference = 50 + 35
Difference = 85
Answer: The difference is 85 ft.
1. Which of the following is an equation for the
inverse of the function f(x)
3x + 1 ?
Answer:
f^-1(x)=x/3-1/3
Step-by-step explanation:
Which are perfect square trinomials? Select two options. x2 − 9 x2 −100 x2 − 4x + 4 x2 + 10x + 25 x2 + 15x + 36
PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C and D
Step-by-step explanation:
i just took the quiz
From the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25
Determining perfect square trinomialsRecal that,
An expression is a perfect square trinomial if it takes the form ax² + bx + c and satisfies the condition b² = 4ac
For x² -9a = 1, b = 0, c = -9
0² ≠ 4(1)(-9)
0 ≠ -36
∴ x² - 9 is NOT a perfect square trinomial
For x² - 100a = 1, b = 0, c = -100
0² ≠ 4(1)(-100)
0 ≠ -400
∴ x² - 100 is NOT a perfect square trinomial
For x² -4x +4a = 1, b = -4, c = 4
(-4)² = 4(1)(4)
16 = 16
∴ x² - 4x +4 is a perfect square trinomial
For x² +10x +25a = 1, b = 10, c = 25
(10)² = 4(1)(25)
100 = 100
∴ x² +10x +25 is a perfect square trinomial
For x² +15x +36a = 1, b = 15, c = 36
(15)² ≠ 4(1)(36)
225 ≠ 144
∴ x² - 4x +4 is a NOT perfect square trinomial
Hence, from the given options, only x² - 4x +4 and x² +10x +25 are perfect square trinomials. The correct options are the third and forth options - x² - 4x +4 and x² +10x +25
Learn more on Determining perfect square trinomials here: https://brainly.com/question/2514855
Idk how to do this. Please help?
Answer:
Is that algebra??
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
1. Distance = √((√5)^2 + (-1)^2)
= √(5 + 1)
= √6.
2. √(1^1 + (-2)^2)
= √5.
3. √(4^2 + 3^2)
= √(16 + 9)
= √25
= 5.
4. √(6)^2 + (-8)^2)
= √(36 + 64)
= √100
= 10.
Find x, when p(x) = -1,
Answer:
positive or negative 4
Step-by-step explanation:
p(x) is another form of saying y. plug in -1 as the y value. then look where on the graph it touches the line
A community is planning to build a rectangular garden. The width of the garden is 17 /4 feet (ft), and the perimeter of the garden is 24.5 ft. The community planners want to spread mulch on the entire garden. How many square feet of mulch will be needed?
Answer:
34 square feet
Step-by-step explanation:
First, you need to find the other side of the garden in order to find the area a=l*w
The formula to find the length is, p-w*2=x x÷2=l
because, perimeter is l+l+w+w and area is just l*w
4.25*2=8.50
24.50-8.50=16
16÷2=8
l=8
So now we need to multiply the length and width to get the area.
8*4.25=34 sq. ft.
I hope that helps!
In February, Paul's electric bill was three dollars more then one-half his gas bill. If the electric bill was ninety-two dollars, what was the gas bill?
Answer:
49$
Step-by-step explanation:
Which ones are polygons?
Answer:
C
Step-by-step explanation:
it's a complex polygon
Answer: BCF
Step-by-step explanation:
i will mark brainliest whoever answers first
7x – 4 and 6x – 4 – x
Answer:
[tex]\large\boxed{5x - 4, 7x - 4}[/tex]
Step-by-step explanation:
7x - 4
This expression cannot be simplified. You cannot subtract a known number from a variable.
6x - 4 - x
This equation can be simplified
Subtract 6x - x
[tex]\large\boxed{5x - 4, 7x - 4}[/tex]
Hope this helps :)
Claudia studied for 45 minutes. Crystal studied for 5 minutes. The number of minutes that Claudia studied is how many times the number of minutes that Crystal studied?
Answer:
school sucks man but you gotta do it or else you get reported to the RUSSIANS for not doing your hw so here you goo...
9
9x5=45
can ssome oone heelp me imm inn kinder garden and mmy teacher said what is 1 plus 1 plessssssssssssssssssssssss help me
Answer:
Step-by-step explanation: Ok So pretend you have one apple and your friend gives you another apple how much would you have... Answer is "2"
Answer: so it is 2
Step-by-step explanation: if one friend said I have 1 bike and you said you have 1 bike that would be 2. So 1 bike + 1 bike= 2 bikes
Solve the equation for the variable.
[tex] \frac{2}{5} x + 15 = x - 6[/tex]
x = [?]
Answer:
x = 35Step-by-step explanation:
[tex]\frac{2}{5} x + 15 = x - 6[/tex]
First multiply through by 5 to eliminate the fraction
That's
[tex]5 \times \frac{2}{5} x + 15(5) = 5x - 30 \\ 2x + 75 = 5x - 30[/tex]
Next using the subtraction property subtract 5x from both sides
That's
[tex]2x - 5x + 75 = 5x - 5x - 30 \\ - 3x + 75 = - 30[/tex]
Next subtract 75 from both sides
[tex] - 3x + 75 - 75 = - 30 - 75 \\ - 3x = - 105[/tex]
Divide both sides by - 3
[tex] \frac{ - 3x}{ - 3} = \frac{ - 105}{ - 3} [/tex]
We have the final answer as
x = 35Hope this helps you
A school cafeteria spent $2,700 for ingredients necessary to prepare 450 meals. What is the rate spent per meal?
Answer:
$6
Step-by-step explanation:
If we divide the amount they spend by the amount of meals they make, we get 6. So this means that they spend $6 per meal.
Suppose y varies inversely with x. If y = 150 when x = 2, find y when x = 25.
Answer is 12
I hope this helps enough
Question 9
A roller coaster has 4 cars, each with the same number of seats. There are 21 passengers seated in
the roller coaster, but 3 seats are empty. Write an equation that can be used to determine the
number of seats in each car.
Answer:
[tex]4n = 24[/tex]
Step-by-step explanation:
Given
[tex]Cars = 4[/tex]
[tex]Empty = 3[/tex]
[tex]Occupied = 21[/tex]
Required
Determine an equation to find number of seats
Let the number of seats in each car be represented by n;
If [tex]1\ car = n[/tex]
Then:
[tex]4\ cars = 4 * n[/tex]
[tex]4\ cars = 4 n[/tex]
This implies that there are 4n total seats
Solving further:
[tex]Occupied\ Seats + Empty\ Seats = Total[/tex]
Substitute values for the above parameters:
[tex]21 + 3 = 4n[/tex]
[tex]24 = 4n[/tex]
Reorder
[tex]4n = 24[/tex] ---- This equation can be used to solve for n
c. If h(x) = x2 − x − 12, the value of h(3) is __________.
Answer
h(x)= x^2-x-12
(3)^2-3-12
9-3-12
12-12
0
Step-by-step explanation:
#1 Shane bought 4 shirts for $17 and 4 pants. He spent a total of $71.
How much did each pant cost?
#2 Julie has 4 more apples than Sam. Julie and Sam have a total of 30
apples. Find the number of apples Julie has
Help me out please
Show the proper algebraic steps to solve 5x + 34 = 2(1 -7x)
Answer:
x=-1.68
Step-by-step explanation:
5x + 34 = 2(1 -7x)
5x+34=2-14x
5x+14x=2-34
19x=-32
x=1.68
need help can someone explain this problem
please.
The perimeter = the sum of the length of each side.
The shape with missing sides is a rectangle, and we know that rectangles have equal opposite sides.
The top of the rectangle = 3.5 and now we know all the values of each side.
3.5 + 3.5 + 2.4 + 2 + 2 = 13.4 cm.
The perimeter = 13.4cm
can you give me a real-world problem that involves multiplying a fraction and a whole number?
Answer:
Rishi spent 3/4 of an hour for 2 days working on his science project . kyle spent 1/4 of an hour for 6 days working on his science project. who spent more time working on his science project.
Step-by-step explanation:
rishi and kyle spent the same amount of time.
6/4 and 6/4 hours
sin
sin 70°/cos20°+cosec36°/sec54°-2cos43°cosec47°
HELP PLEASS FAST
Answer:
-2.59x10^15
Step-by-step explanation:
PLZZ HELP...i'm ready to go to bed...Where might you see "soda cans" in architecture or nature? (the shape of soda cans?
A soda cans like a cube with straight on top
por favor ayúdenme en esta ecuación: 5x-3x=6x-8
Hey there!
ANSWER: [tex]x=2[/tex]EXPLANATION:[tex]5x-3x=6x-8[/tex]
Combine like terms.
[tex](5x+-3x)=6x-8\\2x=6x-8[/tex]
Subtract 6x from both sides of the equation.
[tex]2x-6x=6x-8-6x\\-4x=-8[/tex]
In the last step, we will divide both sides by -4.
[tex]\frac{-4x}{-4} =\frac{-8}{-4} \\x=2(ANSWER)[/tex]
Hope this helps and have a great weekend!
[tex]\text{-TestedHyperr}[/tex]
Answer: x = 2
Step-by-step explanation: Aquí esta :
Simplificar 5x - 3x y eso se de 2x
1.) 2x = 6x-8
Sustraer 6x-2x
2.) 2x-6x= -8
Y entonces deberías haber obtenido 4x
3.) -4x=-8
Dividir ambos lados por -4
4.) x = -8/-4
Dos negativas hacen una positivo
5.) x = 8/4
Finalmente, la repuesta es :
6.) x = 2
Which polynomial is in standard form?
A)
2x - 3x2 - 4x} + 6x4 + 8
B)
2x4 - 7x² - 6x² + 3x + 9
5 + 7x2 + 6x + 3x5 + x
D)
5 + 7x3 - 6x² + 3x + 9x
Answer:
A
Step-by-step explanation:
working together Alberto and Amanda can paint a fence in 4.12 hours. had she done it alone it would have taken Amanda 10 hours. find how long it would take Alberto to do it alone.
Answer:
10 hrs
Step-by-step explanation:
4.12/2 = 2.06 hrs / person
Which sequence of transformations confirms congruence by mapping shape I onto shape II? A. a reflection across the x-axis and then a translation 15 units left B. a 90° clockwise rotation about the origin and then a translation 25 units up C. a 90° counterclockwise rotation about the origin and then a translation 10 units left D. a 180° rotation about the origin and then a translation 10 units right
Answer:
The Answer is D.
Step-by-step explanation:
Answer: Its C
Step-by-step explanation: