Using the given points, write a Linear Equation in Slope Intercept form. (0, 3) and (-5, 6) Show work to determine the slope on your uploaded work paper at the end of the test. Note An incorrect response to this question will NOT lower your overall score.
are the Lines parallel, perpendicular, or neither?
Answer: The lines are perpendicular.
To solve, we can find the slope of each line and compare them to the qualities of parallel and perpendicular lines.
Vocabulary and SlopeParallelThe lines run in the same direction and can never meet. If the lines are parallel, they would have the same slope.
PerpendicularThe lines meet at 90°. If the lines are perpendicular, the slopes would be negative reciprocals of each other.
The negative reciprocal of a number is when we flip the fraction upside down and change the negative sign.To check this, we could multiply the two slopes together and the answer will be –1.How to Find SlopeUse the slope formula. Slope is represented by the letter m.
[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]
On a graph, we write points as (x, y). To use the formula, we need two points on each line. The question already shows what points we can use.
Choose which point coordinates will be x₁, y₁ and x₂, y₂.Substitute the points into the formula.Solve.a) Blue lineThe points are (2, -7) and (6, 5). The variables can be:
x₁ = 2
y₁ = -7
x₂ = 6
y₂ = 5
Substitute into the slope formula and solve for slope.
[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]
[tex]\displaystyle{ m=\frac{5--7}{6-2} }[/tex] Simplify the numerator.
[tex]\displaystyle{ m=\frac{5+7}{6-2} }[/tex] Simplify the numerator and denominators.
[tex]\displaystyle{ m=\frac{12}{4} }[/tex] Divide.
[tex]\displaystyle{ m=3 }[/tex] Solved for slope of blue line.
b) Green lineThe points are (-1, 5) and (8, 2). The variables can be:
x₁ = -1
y₁ = 5
x₂ = 8
y₂ = 2
Substitute into the slope formula and solve for slope.
[tex]\displaystyle{ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} }[/tex]
[tex]\displaystyle{ m=\frac{2-5}{8--1} }[/tex] Simplify the denominator.
[tex]\displaystyle{ m=\frac{2-5}{8+1} }[/tex] Simplify the numerator and denominators.
[tex]\displaystyle{ m=\frac{-3}{9} }[/tex] Simplify the fraction.
[tex]\displaystyle{ m=-\frac{1}{3} }[/tex] Solved for slope of green line.
Compare the SlopesThe slopes are:
[tex]\displaystyle{-\frac{1}{3}}[/tex] [tex]3[/tex], which is the same as [tex]\displaystyle{\frac{3}{1}}[/tex]We know the slopes are not the same, so the lines are not parallel.
However, the slopes are negative reciprocals of each other. The fraction is flipped and the negatives are different.
If we multiply the slopes together, we would get –1:
[tex]\displaystyle{-\frac{1}{3}*\frac{3}{1}=-1}[/tex]
∴ The lines are perpendicular.
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Graph the line 3y - 2x = 3 on the axes provided. Determine and state the slope and the
y-intercept of each line. Graph the line y=5. State the coordinate of the intersection.
Answer:
You can find the answer in the graph below.
Step-by-step explanation:
3y - 2x = 3
x- int = (-1.5,0)
y-int = (0,1)
slope = 2/3x
-----------------------------
y=5 and 3y - 2x = 3 intersection is on (6,5)
----------------------
y=5 : y-int : (0,5)
The slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).
The equation of the line is 3y-2x=3.
In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.
The slope intercept form of the given equation is
3y=2x+3
y=2/3 x+1
Here, the slope of a line = 2/3 and the y-intercept of a line = (0, 1).
The graph of the line y=5, is attached below.
From the graph, the coordinate of the intersection is (6, 5).
Therefore, the slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).
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Can someone please help please
Answer:
I don`t see a mistake.
They did add exponents
They base numbers are correctly multiplied, not added
Exponents aren`t supposed to be multiplied
So I don`t think there is a mistake
In a back-to-back stem-and-leaf plot, each of the two data sets plotted must have the same.
In a back-to-back stem-and-leaf plot, each of the two data sets plotted must have the same stem.
What is a stem and leaf plot?
An original table where data values are divided into a stem and leaf is known as a stem and leaf plot. The first digit or digits will be written in stem type, followed by the last digit in leaf type.A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.In a back-to-back stem-and-leaf plot, each of the two data sets plotted must have the same stem.
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Solve the following quadratic equation by completing the square. Solutions should be completely simplified and exact (do not round). y = x^2 – 8x - 8
HELPP
geometry 60° 48°
Answer: 110
Step-by-step explanation:
A rectangular playground has an area of 2646 square meters. If the width of the rectangle is 42 meters, find the length.
The length of the rectangle is 63 meters.
Did I get it right, or no? If not do not give me the answer please!
Answer:
2646/ 42= 63
Step-by-step explanation:
Yes you got it right
Which equation's line is steeper and explain how do you know?
A. y=3x + 7
B. y=1/2x+9
a tree of 14 m height is broken so that its top touches ground and makes an a 60 degeree.find the length of broken part of tree
Answer:
98 - 24√3 is your answer dear.
Step-by-step explanation:
Let the length of broken part of the tree = 14 - x
For finding x
sin60° = √3/2 = x /14-x
14√3 - √3x = 2x
14√3 = 2x + √3x
14√3 = (2 + √3)x
x = 14√3/(2 + √3)x
after rationalisation
x = 24√3 - 84
substract it 14 - (24√3 - 84)
YOU'LL GET 98 - 24√3 WHICH IS YOUR ANSWER.
2x + 5 = 11
Does anyone know this??
Answer:
Add 5 5 to both sides of the equation. Add 11 11 and 5 5 . Divide each term by 2 and simplify. Divide each term in 2x=16 2 x = 16 by 2 2 .
Step-by-step explanation:
A chef made 1,669 hamburgers last week and 347 this week how many more hamburgers did he make last week than this week
Therefore 1332 more hamburgers he made last week than this week.
Number of hamburgers made by chef last week = 1669
number of hamburgers made by chef this week = 347
We have to find how many more hamburgers did he make last week than this week as
= No of hamburgers last week - no of hamburgers this week
= 1669 - 347
= 1322
Therefore 1332 more hamburgers he made last week than this week.
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please help will give branlist
Answer:
Current price = $2500
price 10 years after today = $3665.18
Step-by-step explanation:
[tex] p(t) = 2500(1.039)^t[/tex]
For the current price, t = 0
[tex] p(0) = 2500(1.039)^0\\\\
p(0) = 2500\times 1\\\\
p(0) = $2500\\
[/tex]
For price 10 years after today, t = 10
[tex] p(10) = 2500(1.039)^{10}\\\\
p(10) = 2500\times 1.46607259475\\\\
p(10) = $3665.18148689\\\\
p(10) = $3665.18\\
[/tex]
Jerry is purchasing books online. The books cost $65.00. There is a shipping and handling fee of 6%. How much will the books cost him including the shipping and handling fee?
Answer:
$68.9
Step-by-step explanation:
65*0.06 is 3.9
65+3.9 is 68.9
Hope this helps!
Merry Christmas!
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Answer:
In the form y=mx+c it is y=-10/7x-45/7
Step-by-step explanation:
We use the formula y-y1=m(x-x1) where m is the slope given by (y2-y1)/(x2-x1)
m=-5-5/-1-(-8)
m=-10/7(plug it into the formula and simplify)
y-5=-10/7(x-(-8)
y-5=-10/7(x+8){multiply through by 7}
7y-35=-10(x+8)
7y-35=-10x-80 (make y the subject)
7y=-10x-80+35
7y=-10x-45(divide through by 7)
y=-10/7x-45/7
Please solve this problem, I have no idea with it
Answer:
(x-3)(x-6)
Step-by-step explanation:
Fill in g into f and simplify:
(x-2)²-5(x-2)+4 =
x² - 4x + 4 - 5x + 10 + 4 =
x² - 9x + 18 =
(x-3)(x-6)
Simplify ((4x)^2 × 2x^3) / x
[tex] \frac{(4x)^{2} \times 2x^{3} }{x} [/tex]
Answer:
[tex]32x^4[/tex]
Step-by-step explanation:
Given:
[tex]\dfrac{(4x)^2 \times 2x^3}{x}[/tex]
[tex]\textsf{Apply exponent rule} \quad (ab)^c=a^cb^c:[/tex]
[tex]\implies \dfrac{4^2x^2 \times 2x^3}{x}[/tex]
Simplify 4²:
[tex]\implies \dfrac{16x^2 \times 2x^3}{x}[/tex]
Multiply the numbers:
[tex]\implies \dfrac{32x^2x^3}{x}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:[/tex]
[tex]\implies \dfrac{32x^{(2+3)}}{x}[/tex]
[tex]\implies \dfrac{32x^5}{x}[/tex]
[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]
[tex]\implies 32x^{(5-1)}[/tex]
[tex]\implies 32x^4[/tex]
I NEED HELP ASAP!!!!
Answer:
15 square units
Step-by-step explanation:
you can split it into right triangles
one has the area of 6 and the other has the area of 9, added together 15 square units
please brainliest?
Giving Brainliestttttttt to first answer that’s correct!
Answer:
I think C sorry if wrong
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form. Please help:)
64,16,4
Answer:
Step-by-step explanation:
the common difference is 4
it is geometric
What is 2-3-7-9-6-7=
Answer:
2-3-7-9-6-7=-30
Step-by-step explanation:
Hope it helps!!!
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The answer for your question about 2-3-7-9-6-7 is -30
What does the x equal ?
Answer:
80
Step-by-step explanation:
1) Find the volume of the figure below. Round to the tenth place, if
necessary.
11 in.
6 in.
6 in.
Your answer
Can someone help me please
Answer:
It should be 396
Step-by-step explanation:
11x6=66
66x6 should get u to 396
PLEASE HELP MY ASSIGNMENT IS DUE IN 3 HOURS!!!!
Answer:
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
since it is a 90-45-45 triangle, both of the legs are equal
Two-thirds of the sum of 4 and k
Words to expressions
The expression would be:
(2/3)(4 + k)
Answer:
[tex]\frac{2}{3}(4 + k)[/tex]
Step-by-step explanation:
Sum of 4 and k : 4 + k
Two thirds of the sum of 4 and k :
[tex]\frac{2}{3}(4 + k)[/tex]
Of the eight teachers at Jackson Middle School, 4 are female and 4 are male. Four of the teachers will be selected at random to lead a student field trip. What is the probability that all of the teachers selected will be female?
Answer:
1/16Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Number of event/ Total outcome of sample space
Since there are 8 teachers in a school, the Total outcome = 8
If four of the teachers will be selected at random to lead a student field trip,
Probability of selecting first female teacher = 4/8 = 1/2
Probability of selecting 2nd female teacher = 4/8 = 1/2
Probability of selecting 3rd female teacher = 4/8 = 1/2
Probability that all of the teachers selected will be female = 1/2* 1/2* 1/2* 1/2
Probability that all of the teachers selected will be female = 1/16
Why can't you have a shoe size of 4.5 and a height of 72 inches?
Answer:
Ok, lemme say something.
4.5 shoes are for 9 inch feet.
Dont think a 6 foot person is gonna fit tbh.
Step-by-step explanation:
A shoe size is for relation to feet size. Your feet grow from your height too, along with weight. If you are 6 feet, your feet are gonna be more than at least 1 foot.
4.5 shoes are for 9 inch feet
1 foot = 12 inches.
12 > 9.
12-9=3.
W^2=17 Solve the equation.
Answer:
w = ±√17
Step-by-step explanation:
W^2=17 Solve the equation.
w² = 17
w = ±√17
Answer:
w = √17 (or) 4.12
Step-by-step explanation:
Given that,
→ w² = 17
Then the value of w is,
→ w² = 17
→ w = √17
→ [ w = 4.12 ]
Hence, the value is √17.
There has been a break in at the local museum
Answer:
??
Step-by-step explanation:
Answer:
Ummm, The robber looked at the dinosaur and got scared so he ran away
Step-by-step explanation:
PLEASE HELP WITH MATH TEST I WILL MARK BRAINLIST
I will report you if you don’t help because all day I have been getting trolls