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Which of these represents point-slope form of a linear equation?
y = mx + b
y - y1 = m(x - 1)
Ax + By = 0
y=kx
Answer:
second one..........
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
What is equation of a line?The equation of a line is a form of representing the set of points, which form a line in a coordinate system.
The general equation of a straight line is given as:
y = mx + c,
where m = slope of the line and c = y-intercept.
We have,
y = mx + b _____(1)
y - y1 = m(x - 1) _____(2)
Ax + By = 0 _____(3)
y=kx ______(4)
From all the equations given above, we see that,
Equation (1) is in the form of a point-slope.
Thus,
The point-slope form of a linear equation is represented by y = mx + b.
Option A is the correct answer.
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How do you get the fully simplified slope-intercept form?
Answer:
y = 3x - 7
Step-by-step explanation:
Slope-intercept form:
y = mx + b
Where:
y is the y value.
m is the slope.
x is the x value.
And b is the y-intercept.
First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:
m = rise/run
m = 3/1
m = 3
With the slope formula, you first need to choose two points.
I chose:
(2, -1) and (3, 2)
Slope formula:
m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}
m = (2 - (-1)) / (3 - 2)
m = 3/1
m = 3
Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:
y-int = -7
To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.
I chose:
(2, -1)
y = 3x + b
-1 = 3(2) + b
-1 = 6 + b
-1 - 6 = b
b = -7
Now you have your final answer:
y = 3x - 7
z= -400i - 44.5 what is the real part of z?
Answer:
-44.5
Step-by-step explanation:
The i part is imaginary.
The rest is real.
The real part is -44.5
Answer:
-44.5
Step-by-step explanation:
for a complex number
[tex]z=a+bi[/tex]
a is the real part
so in our case we have
[tex]z=-44.5-400i[/tex]
a = -44.5
so the real part is -44.5
Solve the inequalities in Exercises 17 to 20 and show the graph of the solution in each case on number line.
17. 3x – 2 < 2x + 1
Answer:
x < 3
Step-by-step explanation:
3x - 2x - 2 < 1
3x - 2x < 1 + 2
x < 1 + 2
x < 3
For the graph, look at the picture.
help me I need help on this
Answer:
It is 1.
Step-by-step explanation:
Hope this helped have an amazing day!
Joe borrowed $6,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 8 years?
Answer:
$3360
Step-by-step explanation:
7% of $6000=$420
$420 time 8= $3360
Hope this helped! :)
Answer:
$3,360
Step-by-step explanation:
So first of all you want to start by finding what P, r and t would be.
P = Principal amount ($$)
r = interest rate (%)
t = time (years)
Once I found all of those I put them into the equation (l = Prt) and solved (by putting it into a calculator obviously). That is how I came up with my answer. Check the screenshot provided to see what P, r and t would be and to see all my work! :)
Hope this helps! :)
Have a great day!
Paula wins three-quarters of her tennis matches. She loses the rest. What is the ratio of wins to losses?
Answer: 3:1
Step-by-step explanation:
If your teacher tells you to do questions 38 through 51 in your math book for homework, how many questions is that?
Do not include units in your answer
Answer:
It would be 13 questions.
Step-by-step explanation:
If you had to do questions 31 through 51 for homework it would be 13 because...
51 - 38 = 13
Answer:
13
Step-by-step explanation:
51 - 38 = 13
also 13 + 38 = 51
brainliest.
write the factored form of the polynomial.
P(x) = x4 – 7x3 + 13x2 + 3x – 18
Answer:
(x+1)(x-2)(x-3)^2
Step-by-step explanation:
Sorry, mate. That math is too hard to type out online. You's guys will just have to take my word for it!
Exposed clout chaser
Answer:
*rolls eyes* I didn't think this would be the community where moderators are missed. Oh well, she clearly doesn't need help with differential calculus or Python so I wish her best.
Step-by-step explanation:
Answer:
oof that is messed up
Egghead Egghead Egghead
Answer:
the first one is an egghead, gordon ramsey is not an egg
Step-by-step explanation:
8. Quincy pays $150 every four months for karate lessons. Hailey pays $120 every three
months for karate lessons. At this rate, how much does Quincy pay per month for
lessons?
Answer:
$37.50 per month
Step-by-step explanation:
150/4 = 37.50 per month
what is the quotient 5/7 ÷ 3 1/3
Answer: 3/14
Step-by-step explanation:
prove that:
tan80°=2tan 70°+ tan10°
Answer:
kunjal brother answer is correct hope it's help you have a good day ☺☺ keep smiling be happy stay safe ☺☺
Neeeeeed help?!?!!!!!!!
Step-by-step explanation:
number of minutes I guess
7: (page 311) Triangle DEF has vertices D(1,2), E(1,6), and F(4,2). What are the coordinates of
the orthocenter of Triangle DEF?
Answer:
u
Step-by-step explanation:
7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution
Answer:
Elena's move will lead to the solution of the problem
Step-by-step explanation:
To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning
Given:
7.5d = 2.5d
Lin divides each side by 2.5d, Lin:
7.5d / 2.5d = 2.5d / 2.5d
3 = 1
This can not be the solution to the problem because 3 can not be Equal to 1
Elena subtracts 2.5d from each side
7.5d = 2.5d
7.5d - 2.5d = 2.5d - 2.5d
5d = 0
This can lead to the solution of the problem
Elena's move will lead to the solution of the problem
Kelvin ran in a race over the weekend and ran 4 kilometres in 20 minutes. Choose all of the th emu it rates that represent the problem A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min
Answer:
A) 1 km in 5 min
C.) 4/20 km in 1 min
Step-by-step explanation:
Given that:
Kevin ran 4 km in 20 minutes
A) 1 km in 5 min B)5 km in 1 min C)4/20 km in 1 min D)4/20 min in 1 km E) 3/5 km in 1 min
4 km in 20 minutes :
4km / 20 minutes = 1km / 5 minutes
4/20 km in 1 minute = 0.2 km in 1 minute
If :
1 km = 5 minutes
x km = 1 minute
Number of kilometers in 1 minute :
1/5 = 0.2 km per minute
Hence, Option A and C
1. A right triangle is shown.
25 cm
7 cm
Based on this information, what is the length of the base of this triangle?
HELP PLS I BEG YOU
Answer:
24 is the answer
Step-by-step explanation:
answer is 24 for base
Casey wants to buy a gym membership. One gym has a $248 joining fee and costs $27 per month. Another gym has no joining fee and costs $58 per month. In how many months will both gym memberships cost the same? What will that cost be?
Answer:
In 8 months both gym memberships will cost the same and that cost will be $464
Step-by-step explanation:
Linear Models
To compare two gym memberships, we can help Casey to form one model for each gym.
One of them charges a $248 joining fee plus $27 per month. The model for this gym is:
G1 = 27m + 248
Where m is the number of months.
The other gym has no joining fee but charges $58 per month. It's model is:
G2 = 58m
The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:
27m + 248 = 58m
Subtracting 27m and swapping the equation:
58m - 27m = 248
Simplifying:
31m = 248
Solving:
m = 248/31
m = 8
When m=8, both gyms charge the same:
G1 =27*8 + 248= $464
G2 = 58*8 = $464
Thus, in 8 months both gym memberships will cost the same and that cost will be $464
Solve each equation mentally for x.
x • 7/3 = 1
Your answer must be in the form of a fraction.
Teddy has two piggy banks. The difference in the amount of money between the two banks is no more than $10. One piggy bank has $7.31 in it. Select the choices that make inequality and statement about the possible amount of money in the other piggy bank correct.
The possible amount of money in the other piggy bank correct is x < 2.69.
Given that,
Teddy has two piggy banks.
And, The difference in the amount of money between the two banks is no more than $10.
Here, One piggy bank has $7.31 in it.
Let us assume that,
The amount of money in the other piggy bank = x
Hence, the inequality is,
7.31 + x < 10
Solve for x,
x < 10 - 7.31
x < 2.69
Therefore, x < 2.69 is the possible amount of money in the other piggy bank.
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SOMEONE PLEASE HELP ME WITH THIS!
Answer:
(−1)(5x+2)
Step-by-step explanation:
I googled it
Answer:
(x-1)(5x+2)
Step-by-step explanation:
5[tex]x^{2}[/tex] + 2x - 5x - 2
(5[tex]x^{2}[/tex] + 2x) (- 5x - 2)
x(5x + 2) -1(5x + 2)
(x-1)(5x+2)
which is the area of a circle with a diameter of 7 units? (use 3.14 for pi)
Answer:
The area of circle = πR ^2
And diameter = 7 units
By interchanging d in R =d/2 = R =7/2 = 3.5
Step-by-step explanation:
πR ^2 =3.14 x (3.5)^2 =3.14 x 3.5 x 3.5 =38.465 (unit)^2 AnswerHope it's help ^_^
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
A basketball uniform costs $!6 for the shirt and $13 for the shorts. If the coach needs to buy uniforms for 9 players, use the distributive property
What is 9 to the first power times (-2)3?
(A) -27
(B) 36
(C) -72
(D) 27
Answer:
-72
Step-by-step explanation:
9*(-2)³ = 9*(-8) = -72
Answer:
(C) -72
Step-by-step explanation:
[tex]9^1*(-2)^3[/tex]
Any number to the exponent of 1 is equal to themselves
[tex]= 9*(-2)^3[/tex]
Solve the exponent and multiply
[tex]= 9*(-8)\\=-72[/tex]
I hope this helps!
What is a correct name for ange 5?
Answer: KVL
Step-by-step explanation:
This would be the correct name for the angle since the V needs to be in the middle of the answer. In the angle you can see L V and K all pass 5 making it the correct name for the angle
Work out the probability of getting a 5. Give your answer as a fraction in its simplest form.
Answer:
1/6
Step-by-step explanation:
if you are talking about a dice roll, then the probability of getting anything is 1/6
Find the slope between the following points (-3, 4) AND (-7,-5).
Answer:
slope = [tex]\frac{9}{4}[/tex]
Step-by-step explanation:
Equation to find slope: [tex]\frac{y1-y2}{x1-x2}[/tex] (-3, 4) (-7, -5)
[tex]\frac{4+5}{-3+7}[/tex] = [tex]\frac{9}{4}[/tex]
can someone help plz
Answer:
4 possible real zeroes
solutions are
[tex]x=\sqrt{3}\\x=-\sqrt{3}[/tex]
x = 1
x = -1
Step-by-step explanation:
4th order polynomial therefore there are 4 possible solutions.
factoring it:
(x^2-3)(x^2-1)
Solve for x
x^2 - 3 = 0
x^2 = 3 ; take the square root of both sides
[tex]x=\sqrt{3}\\x=-\sqrt{3}[/tex]
x^2 - 1 = 0
x^2 = 1
x = 1
x = -1