what is y -5= 2/3(x-2) in slope intercept form??
Answer:
y = 2/3x + 3 2/3
Step-by-step explanation:
slope intercept form: y = mx + b
isolate the y => y = 2/3(x - 2) + 5 => y = 2/3x - 4/3 + 5 => y = 2/3x + 3 2/3
What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?
Answer:
y=2x+1
Step-by-step explanation:--------------------------------------------------------------------------------------------------------------
Rearrange 2x+3y=15 by subtracting 2x by both sides. Dividing 3y by both sides.
1⇒[tex]2x-2x+3y=15-2x[/tex]
2⇒[tex]\frac{3y=15-2x}{3y}[/tex]
[tex]y=5-\frac{2}{3} x[/tex]
We know this slope is negative. Meaning for the perpendicular crossing to work, it must have a positive slope. We know that 3=(1*M)+B. Perpendicular lines will have slopes that are negative reciprocals of one another.
--------------------------------------------------------------------------------------------------------------
We know the slope must be between 1 and 3. We know the base must be between 1 and 3.
Using the slope formula y-y/x-x
[tex]\frac{5-3}{0-1} \\ m=2[/tex]
A line passes through the point (-9,5) and has a slope of
4/3
Write an equation in point-slope form for this line.
Answer:
y=4x/3+17
Step-by-step explanation:
4/3=y-5/x+9
y=4x/3+17
The equation in point-slope form for this line is -
(y - 5) = (4/3)(x + 9)
What is the general equation of a Straight line?
The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have a line that passes through the point (-9,5) and has a slope of
4/3.
The point slope form is given by -
(y - y₁) = m(x - x₁)
Now, we can write the equation as -
(y - 5) = (4/3)(x + 9)
Therefore, the equation in point-slope form for this line is -
(y - 5) = (4/3)(x + 9)
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PLEASE ANSWER QUICKLY
Answer: 17
Step-by-step explanation:
Answer:
B) 17
Step-by-step explanation:
Prime numbers are numbers that are not products of two smaller natural numbers. Everything except 17 is not prime cuz they can be derived from multiplying other numbers but 17 cannot be.
7th Grade triangle measurements
Answer:
ummmmmm....post the pic at least
Please help besties!
Lupe needs to make a poster that is 2 m by 4 m for the big game. The cost of the paper is $1.75. Later she needs another poster with dimensions 1 m by 2 m. What is the paper for this poster likely to cost
Answer:
$0.42
Step-by-step explanation:
Given data
Dimension
Length=4m
Width=2m
Cost= $1.75
Area= 4*2= 8m^2
Cost per area=1.75/8
Cost per area=$0.21 per m^2
The new poster's dimension
Lenght =2m
Width= 1m
Area= 2*1= 2m^2
Hence if a square meter cost $0.21
Then 2 square meter will cost x
cross multiply
2*0.21=x
x=$0.42
Hence the new poster will cost $0.42
Can someone help me
Answer:
36
Step-by-step explanation:
4 x (2 + 7) = 36
What is true about this cylinder?
Answer:
2
Step-by-step explanation:
.....................
which equation has an a-value of 1 ,a b- value of -3 and a c value of -5
Answer:
The options are not given, so I will answer in a general way:
A quadratic equation can be written, in general form, as:
y = a*x^2 + b*x + c
Then if we want this, we need to replace:
a = 1
b = -3
c = -5
Then the equation that we want is:
y = x^2 - 3*x - 5
Is likely that the options are in the factorized way to write a quadratic equation (so it is kinda harder to you)
Such that the factorized way is written as:
y = (x - k)*(x - h)
where k and h are the roots of the quadratic equation.
So you just need to expand that expression and find the one that looks like:
y = x^2 - 3*x - 5
Just to be complete, let's find the factorized form of this particular quadratic equation.
The roots are given by:
0 = x^2 - 3*x - 5
And the two solutions are given by Bhaskara's formula:
[tex]x = \frac{-(-3) \pm \sqrt{(-3)^2 - 4*1*(-5)} }{2*1} = \frac{3 \pm 5.39}{2}[/tex]
The two roots are:
h = (3 + 5.39)/2 = 4.195
k = (3 - 5.39)/2 = -1.195
Then the factorized form is:
y = (x - 4.195)*(x + 1.195)
whats the difference of y and 6
Answer:
Y is an Exponent, and 6 is an integer
Step-by-step explanation:
Distance between -12 and
12
Answer:
24
Step-by-step explanation:
-7 x -8 = 56 True or False
Answer:
true negative ×negative =positive
Answer:
True
Step-by-step explanation:
n= negative
p= positive
n*n=p
p*p=p
n*p=n
HELP ME PLEASE!!! I’ll mark brainly
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
yes
draw the graph of the function y= 2x+2
Answer:
here is a table sorry i know it is not a graph
Step-by-step explanation:
to put on a graph simply, for example, move 1 right then go 4 up to complete 1,4
x y
1 4
2 6
3 8
4 10
5 12
Hope this helps <3
Plz help, tysm if you do
Answer:
For the First
From SOHCAHTOA
Sin64 = x/9
x=9sin64
x=8.089
To the nearest Hundredth
x=8.09.
2nd.
Sin43=x/10
x=10sin43
x=6.8199
To the nearest hundredth
x= 6.82.
Answer:
1st - 36
2nd - 57
Step-by-step explanation:
take 180 degrees (total degree of triangle) and subtract it from the 90 degree angle, and the number of the other given angle
hope this helped
BRAIN TO CORRECT ANSWER!!
Juan rides the bus to school each day. He always arrives at his bus stop on time, but his bus is late 80% of the time. Juan runs a simulation to model this using a random number generator. He assigns these digits to the possible outcomes for each day of the week:
• Let 0 and 1 = bus is on time
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = bus is late
The table shows the results of the simulation.
(image)
Answer:
B stu goofy jr out
Step-by-step explanation:
i took the stu goofy jr test
A school is building classrooms that are 4 feet apart. The school is 2 miles long. How many classrooms can the school fit (1 mile = 5,280 feet)?
Answer:
The school can build 2640 clasrooms theorethicly that are 4 feet apart,
but if each clasroom is next to another one that means it is separated by 2 walls then it would be 1320 classrooms
Step-by-step explanation:
2 x 5280 = 10560
10560/4 = 2640
And if the clasroom on each side has to be seperated by walls then
10560 /8= 1320
Answer:
i x 2 x5,280
Step-by-step explanation:
10564
find the value of X and Y triangle BLT is congruent to Triangle JFK
Using the order of the letters in the triangles find the corresponding sides:
BL is similar to JF
LT is similar to KF
BT is similar to JK
Find the scale between LT and KF
9/12 = 3/4
The smaller triangle is 3/4 the size of the lager one.
This means BT = 3/4(JK) = 3/4(4) = 3
So x = 3, so side BL = 2x = 2(3) = 6
Now to solve for y:
BL is 3/4(JF)
6 = 3/4(y)
Solve for y by dividing both sides by 3/4
Y = 6/(3/4)
Y = 8
X = 3, y = 8
Find a pair of complementary angles. Show work to prove they are complementary.
Answer:
Hello! answer: 45 and 45 is a complementary angle and 60 and 30 is a complementary angle
Step-by-step explanation:
Complementary angles are just angles that add up to 90 degrees so... 45 + 45 = 90 60 + 30 = 90 so that is how those are complementary angles.
Hope that helps!
Answer:
angle QRT/angle VRT and angle SRW/angle WRV
Step-by-step explanation:
QRT and VRT: Both angles are 45 degrees, adding those degrees together gets you 90 degree angles meaning that they are complementary.
SRW and WRV: 60 plus 30 is equal to 90 making them complementary angles as right angles are 90 degrees
whats the equation of the line that goes through the points (6,8) and (-2,3)
Answer:
y = 5/8x + 17/4
Step-by-step explanation:
y2 - y1 / x2 - x1
3 - 8 / -2 - 6
5/8
y = 5/8x + b
3 = 5/8(-2) + b
3 = -5/4 + b
17/4 = b
The slideat the playground has a height of 6ft. The base of the slide measured on the ground is 8ft. What is the length of the slide?
Answer:
10 ft
Step-by-step explanation:
The length of the slide can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
6² + 8² =
36 + 64 = 100
c = √100
c = 10
What percent of 21 is 105?
Answer:
20%
Step-by-step explanation:
21/ 105
= 0.2 x 100
20%
Rebecca paid $16.90 to place an advertisement in a local
newspaper. The newspaper charged $4.50 set up fee and $0.40
per word. How many words were in Rebecca's advertisement?
Answer:
31 words
Step-by-step explanation:
because the set up fee is 4:50$, minus this from the price Rebecca payed
16.90-4.50=$12.40
now divide this amount by $0.40 in order to get her word count
12.40÷0.40=31
What is 972 written in standard form
Answer:
we will write 972 in standard form
Step-by-step explanation:
Standard form of a given number 972 is equals to 9.72 × 10².
What is standard form?" Standard form is defined as the mathematical expression, number, any equation , quantity with certain rules defined for it."
According to the question,
Given number = 972
Standard form of writing a number is
Given number should be express as a decimal number between 1.0 to 10.0
multiply by power of 10.
Standard form of 972 = 9.72 × 10²
Hence , standard form of a given number 972 is equals to 9.72 × 10².
Learn more about standard form here
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please solve rhis ques
Answer:
The highest common factor is (a + b)
Step-by-step explanation:
We start by making a factorization of the first expression
By using the difference of two squares, we can have it as;
a^2 - b^2 = (a + b)(a-b)
For the second expression, we already have;
(a + b)^2 = (a + b)(a + b)
What this mean is that (a + b) is common to both expressions and we have it as the highest common factor
Can someone please help me in this question
Step-by-step explanation:
a) Let y = f(x) = 3x - 2x^2
f(-2) = 3(-2) - 2(-2)^2 = p
= -6 - 8
= -14
= p
f(2.5) = 3(2.5) - 2(2.5)^2 = q
= 7.5 - 12.5
= -5
= q
b) graphing
c) From the graph, you should be able to verify the following:
i) f(0.5) = 3(0.5) - 2(0.5)^2 = 1
ii) 0.5 = 3x - 2x^2 or x = 1.3, 0.2
iii) the maximum occurs at
f(0.75) = 1.125
d) the equation for the line of symmetry is x = 0.75
Please help me A line that includes the point (3, 3) has a slope of 4. What
is its equation in slope-intercept form?
Answer:You can do this two ways: Either use the slope intercept form
y = mx + b with slope m=-2 so y = -2x +b
From that use x=5, y = -3 to solve for b
-3 = -2(5) + b
-3 = -10 + b
10-3 = b
7 = b
Your equation is: y = -2x + 7
OR
Use the point slope formula: y - y1 = m(x-x1)
with m = -2, (x1, y1) = (5,-3)
y-(-3) = -2(x-5)
y + 3 = -2x + 10
y = -2x + 10 - 3
y = -2x + 7
Step-by-step explanation:
3/2 ( x - 6 ) = -3
What's x?
A. x = -8
B. x = 2
C. x = 4
D. x = 9
Answer:
The answer is C.
Step-by-step explanation:
Had this on a quiz.
Calculate the length of side x.
Give your answer correct to 3 significant figures.
Answer:
8.58cm
Step-by-step explanation:
Since tanθ = opp/adj,
tan43 = 8/x
x = 8/tan43
= 8/0.93251508
= 8.57894973666
≈ 8.58