Given:
The two points are (4,5) and (-3,-5).
To find:
The point-slope form equations could be produced with the given points.
Solution:
Slope formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The two points are (4,5) and (-3,-5). So, the slope of the line is:
[tex]m=\dfrac{-5-5}{-3-4}[/tex]
[tex]m=\dfrac{-10}{-7}[/tex]
[tex]m=\dfrac{10}{7}[/tex]
The point slope form of a line is:
[tex]y-y_1=m(x-x_1)[/tex]
Where, m is the slope of the line.
The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (4,5). So, the point slope form is:
[tex]y-5=\dfrac{10}{7}(x-4)[/tex]
The slope of the line is [tex]m=\dfrac{10}{7}[/tex] is passes through the point (-3,-5). So, the point slope form is:
[tex]y-(-5)=\dfrac{10}{7}(x-(-3))[/tex]
[tex]y+5=\dfrac{10}{7}(x+3)[/tex]
Therefore, the point slope form of the given line is either [tex]y-5=\dfrac{10}{7}(x-4)[/tex] or [tex]y+5=\dfrac{10}{7}(x+3)[/tex].
CAN SOMEONE PLEASE ANSWER THIS FOR ME
Ani do niot know lol
Step-by-step explanation:
Answer:
J. 20ft
Step-by-step explanation:
1 2/3 = 5/3
5/3 * 12/1 = 60/3
60/3 = 20
What is the value of x?
Answer:
122
Step-by-step explanation:
122 + 58 = 180
Answer:
x=122°
Step-by-step explanation:
58° and x form a straight angle, which is 180°.
x+58°=180°
x=180°-58°=122°
How many 2/5 cup servings are in 9/5 cups of ice cream? (in simplest fraction form)
Answer: 5/2 because 2/5 times 4 is 8/2 plus 1/2 is 9/2
Step-by-step explanation:
write an equivalent expression 8(y-7z+1)
Answer:
8y−56z+8
Step-by-step explanation:
help please triangles and trig
Answer:
[tex]\sin L = \frac{3}{5}[/tex]
[tex]\tan N = \frac{4}{3}[/tex]
[tex]\cos L = \frac{4}{5}[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
Step-by-step explanation:
Given
The above triangle
First, we calculate the length LM using Pythagoras theorem.
[tex]LN^2 = LM^2 + MN^2[/tex]
[tex]10^2 = LM^2 + 6^2[/tex]
[tex]100 = LM^2 + 36[/tex]
Collect like terms
[tex]LM^2 = 100 - 36[/tex]
[tex]LM^2 = 64[/tex]
Take positive square root
[tex]LM=8[/tex]
Solving (a): Sin L
[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin L = \frac{MN}{LN}[/tex]
[tex]\sin L = \frac{6}{10}[/tex]
Simplify
[tex]\sin L = \frac{3}{5}[/tex]
Solving (b): tan N
[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]
[tex]\tan N = \frac{LM}{MN}[/tex]
[tex]\tan N = \frac{8}{6}[/tex]
Simplify
[tex]\tan N = \frac{4}{3}[/tex]
Solving (c): cos L
This calculated as:
[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]
[tex]\cos L = \frac{LM}{LN}[/tex]
[tex]\cos L = \frac{8}{10}[/tex]
Simplify
[tex]\cos L = \frac{4}{5}[/tex]
Solving (d): sin N
This is calculated using:
If [tex]a + b = 90[/tex]
Then: [tex]\sin a = \cos b[/tex]
So:
[tex]\sin N = \cos L[/tex]
[tex]\sin N = \frac{4}{5}[/tex]
how many 5/8 pound bags does it take to get 16 pounds of soil?
Answer:
10
Step-by-step explanation:
HELP ILL GIVE BRAINLIEST AND NO LINKS
Answer:
x<9
Step-by-step explanation:
I’ll do this again please answer these pages I will give all of my points please
Try your best to read them do the ones that you can read I can manage
Question 15 says a can Of tomato soup has a net weight of 8 ounces of soup how many grams are in the can of soup
I can't read these but is this a school issued textbook of some sort? I might be able to help if so *MIGHT*
Answer:
DID NOT INCLUDE THE ONES I CANT SEE. 3.A 8.A 9.B 10.B 11.D 12.A 13.A . 14.B 16.D 17.C 18.B 19.A 20.A(Not 100% sure on 20)
Step-by-step explanation:
Dont have time to explain
guys I, need help with this please help it is due today
Subtract -5x²+10x-1from6x²-x+3
Answer:
it would be -11x^2+11x-4
find the area of the triangle
!NO LINKS, NO FILES!
please :)
Answer:
1125cm²
Step-by-step explanation:
The answer is in the link -----> www://jk.com lol
30 x 75 ÷ 2 = 1125cm²
witch function defines (g . f)(x)
f(x)=log(5x)
g(x)=5x+4
a.) (g . f) (x)=5x log(5x) + 4log(5x)
b.) (g . f) (x)=5x log(5x)+ 4
c.) (g . f) (x)=5x + 4 +log(5x)
d.) (g . f) (x)=5x - 4 - log(5x)
Answer:its A
Step-by-step explanation:
I ask my teacher so its A
please help i’ll give brainliest
In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=[tex]\frac{\sqrt{5}}{\sqrt{2}}[/tex] and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2. [tex]\frac{\sqrt{10}}{2}[/tex].
Tamara invested $15,000 in an account that pays 4% annual simple interest. Tamara will not
make any additional deposits or withdrawals. How much Interest will Tamara earn on her
Investment at the end of 3 years?
F $1,800
G $600
H $450
J $1.873
Answer:
F $1800
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
then, solving our equation
I = 15000 × 0.04 × 3 = 1800
I = $ 1,800.00
The simple interest accumulated
on a principal of $ 15,000.00
at a rate of 4% per year
for 3 years is $ 1,800.00.
Answer:
F. $1800
Step-by-step explanation:
Simple interest means that a percent of the initial amount will be paid back each year, this amount will not change from year to year. To calculate the simple interest over a given unit of time, multiply the amount by the interest rate in decimal form, then multiply that value by the time span that this was taken over. The result will be the amount earned.
The following formula can be used to describe this scenario,
[tex]simple\ interest=(time)((amount)(interest\ rate))[/tex]
Substitute,
[tex]=(3)((15000)(4))[/tex]
To convert a percent to decimal form, divide the percent by (100)
[tex]=(3)((15000)(0.04))[/tex]
[tex]=(3)(600)\\\\=1800[/tex]
HELP 10 mins left HELP HELP
The graph shows the time spent by students A through H on their homework assignments. Which student spent the least amount of time per assignment
A) a
B) d
C) g
D) h
Answer:
Student H
Step-by-step explanation:
He did the most amout of assiments in the least amout of time
Answer:
Student G
Step-by-step explanation:
They did 7 assignments in 8 hours, while student B did 3 in 8 hours
I think
What is the correct formula to find the sum of the finite geometric series below?
[tex]\displaystyle 2 + \frac{2}{3} + \frac{2}{9} + \ ... \ + \frac{2}{3^6}[/tex]
We are given the Geometric Series:
[tex]2 + \frac{2}{3} + \frac{2}{9} + \frac{2}{27} + \frac{2}{81} + \frac{2}{243} + \frac{2}{729}[/tex]
which can be rewritten as:
[tex]2 + \frac{2}{3} + \frac{2}{3^{2} } + \frac{2}{3^{3}} + \frac{2}{3^{4}} + \frac{2}{3^{5}} + \frac{2}{3^{6}}[/tex]
here, we can see that every term is (1/3) times the last term
Hence, we can say that the common ratio of this Geometric Series is 1/3
Finding the Sum:
We know that the sum of a Geometric Series is:
[tex]S_{n} = \frac{a(r^{n}-1)}{r-1}[/tex]
(where r is the common ratio, a is the first term, and n is the number of terms)
another look at the given Geometric Series tells us that the first term is 2 and the number of terms is 7
plugging these values in the formula, we get:
[tex]S_{n} = \frac{2((1/3)^{7}-1)}{(1/3)-1}[/tex]
[tex]S_{n} = \frac{-1.99}{-0.67}[/tex]
Sₙ = 2.97
Step-by-step explanation:
[tex] \tt2 + \frac{2}{3} + \frac{2}{ {3}^{2} } + \frac{2}{ {3}^{3} } + \frac{2}{ {3}^{4} } + \frac{2}{ {3}^{5} } + \frac{2}{ {3}^{6} } [/tex]
r = [tex]\tt{a_2 \div a_1}[/tex]
r = [tex]\tt{\frac{2}{3} \div 2}[/tex]
r = [tex]\tt{\bold{\frac{1}{3}}}[/tex]
Soo :
[tex] \sf s_n = \frac{a( {r}^{n} - 1) }{r - 1} [/tex]
[tex] \sf s_7 = \frac{2(( \frac{1}{3} ) {}^{7 - 1} - 1) }{( \frac{1}{3} - 1) } [/tex]
[tex] \sf s_7 \approx \bold{ \underline{2.97}}[/tex]
Can you help me please thank you
Answer:
-3ab, -9x^2 -13x
Step-by-step explanation:
45a^4b^3 - 90a^3b/ 15a^2b
-45ab^2/15a^2b
-3ab
13) (x-7x^2) - (2x^2+14x)
-9x^2 -13x
HELP WILL GIVE BRANLIEST
Answer:
The answer would be B [tex]120ft^{3}[/tex]
Step-by-step explanation:
volume of triangular prism is 30 and volume of the cube is 90 :)
what is 8w+5=4(2w+1)
Answer:
No solution
Step-by-step explanation:
1. Distribute the right side.
8w+5=8w+4
2. This has no solution.
James wanted to fence in his backyard for his dog Remi. The yard has a length of 12 feet and a width of 4 feet. What is the area and perimeter of the fenced yard?
A= P =
Answer:
The area of the fenced yard is 48 feet sq. and the perimeter is 32 feet.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
pls help 20 points easy problem
Answer:
A is the answer
Step-by-step explanation:
-X* - Y= XY
A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?
4 feet ≈ how many meters Round to the nearest hundredth
The confidence interval for the sample regression function slope A) can be used to conduct a test about a hypothesized population regression function slope. B) can be used to compare the value of the slope relative to that of the intercept. C) adds and subtracts 1.96 from the slope. D) allows you to make statements about the economic importance of your estimate.
Answer:
A) can be used to conduct a test about a hypothesized population regression function slope.
Step-by-step explanation:
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
In Mathematics, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.
The confidence interval for the sample regression function slope can be used to conduct a test about a hypothesized population regression function slope.
. Three employees each clocked a different number of hours worked this week.
Employee Hours Worked Total Earned (in dollars)
A 35 $420
B 22 $242
C 16 $216
Which employee has the highest earnings per hour?
A) Employee A
B) Employee B
C) Employee C
Answer:
C IS THE ANSWER
Find the surface area of the following figure with the given dimension
Answer:
435 in.²
Step-by-step explanation:
Surface area of the square pyramid = area of the square base + ½(Perimeter of base)(slant height)
Area of base = s²
s = 15 in
Area = 15² = 225 in²
Perimeter of the base = 4(15) = 60 in
Slant height = 7 in
Surface Area = 225 + ½(60)(7)
= 435 in.²
A manager at a gas station realized that there appeared to be a quadratic relationship between the price he charged for a doughnut and the number he sold for the day.
Using a quadratic regression model base on the data, how many doughnuts would be predicted to sold if he charges $0.85 for a doughnut?
Answer choice:
a) ≈22
b) ≈25
c) ≈29
d) ≈30
He sold 28 at 0.75 cents and sold 21 at 0.99 cents.
0.85 is between 0.75 and 0.99 so he sells between 21 and 28 donuts.
0.85 is closer to 0.75 ,so the number should be closer to28.
The answer should be b)25
Sarah is trying to pick out an outfit for the first day of school. She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes. How many different outfits does Sarah have to choose from?
Answer:
5 outfits
Step-by-step explanation:
The number of many different outfits does Sarah have to choose from should be 32.
Calculation of the number of different outfits;Since She can choose from 2 pairs of pants, 8 t-shirts, and 2 pairs of shoes.
So here the number of distinct outfits should be like
[tex]= 2\times 8 \times 2[/tex]
= 32
hence, The number of many different outfits does Sarah have to choose from should be 32.
Learn more about number here: https://brainly.com/question/24604425
Will give brainly if answer is right
Answer:
28 degrees
Step-by-step explanation:
The given figure is an octagon. The sum of interior angles in an octagon is 1080. Thus, one can form an equation, add up all of the angle measures, and set the equation equal to 1080. Then simplify and use inverse operations to find the value of the parameter (t).
(150) + (3t + 34) + (5t) + (5t) + (3t + 37) + (7t - 49) + (5t - 16) + (5t) = 1080
Simplify,
33t + 156 = 1080
Inverse operations,
33t + 156 = 1080
-156 -156
33t = 924
/33 /33
t = 28
What is the distance between the points (5,7) and (3, 4) on the coordinate
plane?
A. 12.04 units
B. 7.28 units
C. 3.61 units
D. 8.54 units
Answer:
C) 3.61 units
Step-by-step explanation:
5 - 3 = 2
7 - 4 = 3
distance² = 2² + 3³ = 4 + 9 = 13
distance = √13 = 3.61