Given:
A line passes through the points (-3,3) and (3,5).
To find:
The equation of the line by using point slope form, then rewrite the equation in slope-intercept form.
Solution:
It is given that the line passes through the points (-3,3) and (3,5). So, the slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{5-3}{3-(-3)}[/tex]
[tex]m=\dfrac{2}{6}[/tex]
[tex]m=\dfrac{1}{3}[/tex]
The point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope.
The point slope form of the given line is:
[tex]y-3=\dfrac{1}{3}(x-(-3))[/tex]
[tex]y-3=\dfrac{1}{3}(x+3)[/tex]
The point slope form of the given line is [tex]y-3=\dfrac{1}{3}(x+3)[/tex].
We need to rewrite this equation in slope intercept form, i.e., [tex]y=mx+b[/tex], where m is slope and b is y-intercept.
The above equation can be rewritten as:
[tex]y-3=\dfrac{1}{3}(x)+\dfrac{1}{3}(3)[/tex]
[tex]y-3=\dfrac{1}{3}(x)+1[/tex]
[tex]y=\dfrac{1}{3}(x)+1+3[/tex]
[tex]y=\dfrac{1}{3}(x)+4[/tex]
Therefore, the slope intercept form of the given line is [tex]y=\dfrac{1}{3}(x)+4[/tex].
Towns X, Y, and Z are on the same straight road. Town Y is between Town X and Town Z. Town X is 57 miles from Town Z, and Town Y is 28 miles from Town Z. What is the distance from Town X to Town Y? A. 21 miles B. 28 miles C. 29 miles D. 30 miles
Answer:
c
Step-by-step explanation:
distance between town X and Z = 57 MILES
distance between y and z = 28 miles
distance from x to y = 57 - 28 = 29 miles
please check the attached image for a diagram that would help better understand the question
Find the area of the composite figure.
Plz help mee
Answer:
I think it's 27 by adding the sides
Mhanifa please help! This is late and I need to get it done ASAP or I will fail
Answer:
Use the ratio of corresponding sides of similar triangles.
#1
50 / x = x / 25x² = 50*25x = 25√2#2
63 / x = x / (112 - 63)x² = 63*49x = 21√7#3
100 / x = x / 8x² = 100*8x = 20√2#4
x / 18 = 18 / 16x = 18*9/8x = 81/4Help me please thank you for
Answer:
I don't know
Step-by-step explanation:
Sorry
Answer:
Just at a glance I'm pretty sure it would be B.
What is the value of the expression 6x - y when x = 3 and y = 1? (5 points)
012
8
O 3
d
17
Answer:
the answer is 17
Step-by-step explanation:
6×3-1
= 17
The spinner is spun 48 times. What is a reasonable prediction for the number of times the spinner will land on an even number?
Answer:
18 times
Step-by-step explanation:
Number of even numbers on spinner = 3
Total number of sections on spinner = 8
Probability of obtaining an even number on one spin = 3/8
Number of times an even number can be obtained from 48 spins = 3/8 * 48 = 18 times
How many subset of (a, b, c, d, et, h, i) are there?
show how you determined it.
Answer:
6
Step-by-step explanation:
hope this helped
What is an equation of the line that passes through the points (-3, -5) and
(-5, -3)?
Answer: y = -x-8
Step-by-step explanation:
(-3,-5) (-5,-3)
Slope (m) = (y-y)/(x-x) = (-3- -5)/(-5- -3) = (-3+5)/(-5+3) = 2/- 2 = - 1
m = - 1
Point (-3,-5)
y-y=m(x-x)
y- -5= -1(x- -3) = y+5 = -1(x+3)
y+5 = - x -3
y+5= - x - 3 (substract 5 from both sides)
y = - x - 8
Find the principal that will yield a simple interest of Rs 9000 in 5 years at a rate of 6% per annum.
9514 1404 393
Answer:
₹ 30000
Step-by-step explanation:
The simple interest formula is ...
I = Prt . . . . . . principal P invested at rate r for t years
Fill in the values you know, and solve for the one you don't know.
9000 = P(0.06)(5)
9000/0.30 = P = 30000
The principal that will give ₹9000 in interest is ₹30000.
A =?
P= 9000
t = 5 yrs
r = 6% = 0.06
A = p(1+r)^t
A = 9000(1+0.06)⁵
A = 9000× 1.338
A = 12044 Rs.
A sound wave is given by the
following equation:
y = 6 sin(324pi t)
where t = time in seconds
How many cycles will occur
between t= 3 and t = 5.5 seconds?
Answer:
405 cycles
Step-by-step explanation:
We have the equation:
y = 6*sin(324*π*t)
For the properties of the sin function, we know that the period is 2π.
So between:
Sin(x) and Sin(x + 2*pi)
we have a cycle.
between:
Sin(x) and Sin(x + 6*pi)
we have 3 cycles.
and so on.
Now we want to find how many cycles will occur between t = 3 s, and t = 5.5 seconds
Between these times, the difference in the argument of the sin function is:
324*π*5.5 - 324*π*3 = 324*π*(5.5 - 3) = 324*π*2.5
Now, the number of cycles that we will have between these times is equal to the number of times that "2*π" is in 324*π*2.5
That number is just the quotient between 324*π*2.5 and 2*π
N = (324*π*2.5)/(2*π) = (324*2.5)/(2) = 405
There are 405 cycles between 3 seconds and 5.5 seconds.
Help me ! Jdkdjdjdb almost due
Answer: B
Step-by-step explanation
p^2+q, use p=5 and q= -3
All you have to do for this problem is fill in for p and q.
5^2+-3 = 22
Answer:
B) 22
Step-by-step explanation:
Plugging in the values we can solve the equation:
(5)^2 + (-3)
25 + (-3) -- Evatuate exponents first
25 - 3 = 22 -- Simplify to receive answer
Find the area of the shape shown below.
Answer:
10
Step-by-step explanation:
2x2=4
1x2=2
2x2=4
4+2+4=10
write this down if u need to show work
find the missing side
Answer:
x = 27.6907 units
Step-by-step explanation:
cos (62) = 13/x
x cos (62) =13
13 / cos(62)=x
x is 27.6907 units
What is the probability of a baseball player getting three hits in a row if his batting average is 17.9%?
0.57%
53.7%
6.0%
17.9%
Step-by-step explanation:
Here batting average is 17.9% = 0.179
In baseball, a batting average is the probability of the number of hits divided by the number of t... do the rest
Which expressions simplify to 2x - 3?
Answer:
-5
Step-by-step explanation:
x=-3-2
x=-5
+2 GOES ON RIGHT AND IT BECOMES -2 And then -×-is=+but 3 is greater so the sign becomes-
Are the ratios 10:2 and 20:4 equivalent
Answer:
Yes, they are equal
Step-by-step explanation:
To see if a ratio is equal, multiply the first numbers of each ratio to the second numbers. If they equal the same, they are equivalent.
In this case, 10*4 = 40
20*2 = 40
HELP PLEASE !! which right prism would have the same volume as a square prism with a base area of 36 m 2 and a height of 3 m ?
Answer:
3 x 36 = 108 (square prism's volume)
3 x 9 = 27, 27 divided by 2 ( x 1/2) = 13.5, 13.5 x 4 = 54
2 x 18 x 3 = 108
6 x 3 = 18, 18 x 2 = 32
Your answer is b, because it has the volume of 108 which matches the square prism's volume.
I don't like doing math help if you know :)
Answer:
Step-by-step explanation:
-(2x+1)
-2x-1
write -2 in that bos and 1 after "-"
Find the surface area of
the prism.
12 in.
7 in.
4 in.
The surface area is
in. 2.
I need this in 10 mins I’m BEGGING HELP
Answer:
148.5 in^2
Step-by-step explanation:
First, get the area of the rectangle
A = 15*12
A = 180
Now the area of the triangle, with the base at 3.5
A = h b/2
A = 9 * 3.5/2
A = 15.75
Since you have 2 halves, add them together., 31.5
Substract 31.5 from 180
Answer:
180 in
Step-by-step explanation:
Because if you multiply 15×12 it gives you 180
Which of the following is a classified as a trinomial
Answer:
A
Step-by-step explanation:
theres 3 ( x³, -3x, 3)
Answer:
A) x² - 3x + 3
Step-by-step explanation:
A trinomial is an algebraic expression consisting of three terms, which usually include a quadratic variable, a coefficient multiplied by a variable, and an integer.
In other words, a trinomial is a polynomial consisting of three monomials.
When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 72 days by 10 workers. How many days would it take to build a similar house with 20 workers?
Please help please please please helppp
Answer:
m∠3 = 73°
Step-by-step explanation:
Vertical angles are equivalent in measure. Complement angles add up to 90°, so subtract 17° from 90° to get your answer.
What is the volume of this triangular right prism?
Frances and Joyce decided to take a shortcut through the woods to go to their friend's house. When they went home they decided to take the long way around the woods to avoid getting muddy shoes. If the length of the shortcut is equal to the square root of the sum of the squares of the other two sides, what total distance did they walk?
Answer:
Length of shortcut = 15 km
Step-by-step explanation:
Given that;
Length of shortcut is equal to square root of the sum of the squares of the other two sides.
So,
We can find length of shortcut.
Assume:
Length of other two side area 12 km and 13 km
So,
H = √P² + B²
Length of shortcut = √12² + 13²
Length of shortcut = √144 + 169
Length of shortcut = √225
Length of shortcut = 15 km
What is the value of the following expression? (8 + 5 x 9) - 2
Topic: PEMDAS
Please provide an explanation to be rewarded brainly.
Worth: 20 Points
Answer:
51
Step-by-step explanation:
Parenthesis exponents multiplication division addition subtraction
(8+5x9)-2
(8+45)-2
53-2
51
[tex]\huge \mathcal\color{orange}\boxed{\colorbox{purple}{Question}}[/tex]
Use Euclid's division lemma to show that the square of any positive integer is either of
the form 3m or 3m + 1 for some integer m.
Answer:
let us consider a positive integer a
divided the positive integer a by 3, and let r be the remainder and B be the quotient and such that.
a=3b+r.........(1)where =0,1,2,3
case 1:consider r=0
equation (1)becomes
a=3bon squaring both the side
a²=(3b) ²a²=9b²a²=3 x 3b²a²=3mwhere m=3b²case 2: Let R=1equation (1) become a=3b+1squaring on both the side we get a²=(3b+1)²a²=(3b) ²+1+2x(3b)x1a²=9b²+6b+1a²=3(3b²+2b) +1a²=3m+1where m=3b²+2bcase3:let r=2equation (1)becomesa=3b+2squaring on both the sides we get a²(3b+2)²a²=9b²+4(12x3bx2a²9b²+(12b+3+1)a²3(3b²+4b+1)+1a²3m+1where m=3b²+4b+1
: square of any positive integer is of the form 3M or 3M + 1
: hence proved.
Answer:
It is the correct answer.
Step-by-step explanation:
Hope this attachment helps you.
Properties of Triangles (Math please help meee its worth 100 points in my grade)
You buy 11 bagels with a $20 bill. How much change do you receive?
Answer:
You would receive $13.75
Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.
I hope this helps and makes sense to you. Please mark brainlist!
Step-by-step explanation:
Answer:
You would receive $13.75
Step-by-step explanation:
What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.
Hope u understand
Please mark brainliest
Thank You
Find the value of x
Please help out !!
Answer:
x = 8
Step-by-step explanation:
These are corresponding so they are congruent.
Your equation is: 14x-4=12x+12
x=8
Step-by-step explanation:
these numbers are corresponding angle to each other
so =>14x–4=12x+12
14x–4=12x+12collect like terms
=>14x–12x=12+4
=>2x=16 divide both side by 2 you get
=>x=8