[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]
Slope of the line :
[tex] \large\boxed{ \mathrm{ \frac{y_2 - y_1 }{x_2 - x_1} }}[/tex]
[tex] \dfrac{7 - 2}{ - 2 - 3} [/tex][tex] \dfrac{ 5}{ - 5} [/tex][tex] - 1[/tex]therefore, m = slope = -1
The equation of the line will be :
y = mx + by = (-1 × x) + by = -x + bNow, let's plug the value of x and y from coordinates of second point,
[tex]y = - x + b[/tex][tex]2 = - 3 + b[/tex][tex]b = 5[/tex]Hence, the required values are :
[tex] \boxed{m = - 1}[/tex][tex] \boxed{ \: \: \: b = 5 \: \: \: }[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
The slope of line passing through (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
A line passes through (-2, 7) and (3, 2). We need to find the slope.
x₁=-2, x₂=3, y₁=7, y₂=2
substitute the values in formula of slope
m=2-7/3-(-2)
m=-5/5=-1
The slope intercept form of line is y=-x+b
To find b put the values of (-2,7)
7=-(-2)+b
7=2+b
7-2=b
5=b
y intercept is 5
Hence the slope of line passing through (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.
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An ice-cream store sold 70 sundaes. The ratio of
strawberry to chocolate sundaes was 3:4. How
many strawberry sundacs did they sell
Answer:
30 strawberry sundaes.
Step-by-step explanation:
We know there is a total of 70 sundaes.
3 sundaes will be strawberry.
4 sundaes will be choclate.
When you add 3 and 4 together, you get 7. This is your total ratio.
So 3/7 of the sundaes are strawberry.
And 4/7 of sundaes are choclate.
We know there is a total of 70 sundaes.
The total ratio we figured out is 7.
If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.
This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.
3*10=30
4*10=40
So there are 30 strawberry sundaes and 40 choclate sundaes.
We need to find the strawberry sundae amount, so the answer is 30.
Hope this helps!
help please! any help is appreciated
Answer:
Step-by-step explanation:
6.
P(even)=4/8=1/2
=50 %
7.
P(8)=23/50
=46 %
Can someone help me pleaseeeeeeeee.
Answer:
B) 2.25
Step-by-step explanation:
Given:
x = -2
y = 4
z = -5
Work:
[tex]\frac{x^2-z}{y} \\\\\frac{(-2)^2-(-5)}{4}\\\\\frac{4+5}{4} \\\\\frac{9}{4} \\\\2.25[/tex]
help please!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]{ \boxed{a = 3.75}}[/tex]
[tex]{ \boxed{b = 16}}[/tex]
Step-by-step explanation:
[tex](4.46 \times {10}^{9} ) \times (8.4 \times {10}^{6} ) \\ = 3.7464 \times {10}^{16} \: breaths[/tex]
Which is the standard equation for a circle centered at the origin with radius r?
Answer:option D is correct
Step-by-step explanation:
Jeremiah is saving money in a bank account. He opened the account with $25. Each month he adds the same amount of money to the account. After 8 months, the account has $505. Which equation can be used to calculate the amount of money in the account, y, after x months
Answer:
Step-by-step explanation:
y = ax + b
The trick is to solve for a.
y = 505
x = 8
b = 25
505 = a*8 + 25 Subtract 25 from both sides
-25 -25
480 = 8a
a = 60
What this means is that for each one of the 8 months, he added 60 dollars into his account
The equation is y = 60*x + 25
Ratio of 4 to 10= (?) %
Answer:
It is 40 I hope that it is helpful have a nice day
Please help with this, will give brainliest.
Explanation:
The negative exponent means we apply the reciprocal to get the exponent to be positive.
The rule is (a/b)^(-c) = (b/a)^c
That means (1/4)^(-3) = (4/1)^3 = 64 which is a whole number.
Something like 2^(-3) = 1/(2^3) = 1/8 = 0.125 isn't a whole number, so we can cross that off the list. The same goes for choices A and C as well.
Answer:
B
Step-by-step explanation:
1/1 ÷ (1/4)³ = 1 x 4³ = 64
You have $12,000 invested that grows annually at a rate
of 3%. How much money will be in your account after one
year?
Step-by-step explanation:
12360 is the answer to the problem
Write The equation or the line in slope intercept form
Answer:
y = -3x + 5
Step-by-step explanation:
slope intercept form - y = mx + b
where m = slope and b = y intercept
step 1 identify the slope
slope = change in y over change in x.
Looking at the graphed line, as y goes up 6 x goes down 2
Hence, slope (m) = 6 / - 2 or -3
Step 2: identify the y intercept ( b )
b = The y value of the coordinate where the line passes the y axis.
The line passes the y axis at point ( 0 , 5 )
The y value of that coordinate is 5
Therefore b = 5
Step 3 add everything together
y = mx + b
* replace m with -3 and b with 5 *
the equation of the line in slope intercept form is y = -3x + 5
0.54+13,500=?/100+13,500 help pls
Answer:
54
Step-by-step explanation:
1) Is it a function?
Please help
Answer:
Hi, there your answer is yes it is a function
Step-by-step explanation:
A function is when x is not repeating itself like -3, 3
A not a function is when x is repeating for example like 3,3
Hope this Helps :)
44% of the 25 buildings in the Forum are preserved. How many buildings are preserved?
Answer:
=44%of25
=44/100*25
=44/4
=11
Someone help! What is 4 1/4-5/6?
Answer:
3 5/12
Step-by-step explanation:
Answer:
3 5/12
Step-by-step explanation:
4 1/4-5/6
Get a common denominator of 12
4 1/4 *3/3 - 5/6 *2/2
4 3/12 - 10/12
Borrow from the 4
3 + 12/12 + 3/12 - 10 /12
3 15/12 - 10/12
3 5/12
The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately how many students were enrolled at South High School in 2010?
Answer: 10,985 students
Step-by-step explanation:
You are given the original number of students, the rate of growth and the number of years. The Future value formula can therefore be used:
Number of students in 2010 = Number of students in 1995 * ( 1 + growth rate) ^ number of years
Number of years = 2010 - 1995 = 15 years
Number of students in 2010 = 1,350 * ( 1 + 15%)¹⁵
= 10,985 students
A ladder is placed 10 feet away from a tree. The length of the ladder is 25 feet. Find the height of the tree?
STEP BY STEP PLS I WILL MARK BRAINLIEST PYTHAGORUS THEOREM
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PEASE HELP IM BEING TIMED
On a map of North Carolina, the distance between Raleigh and Charlotte is 1 point
3 inches. The scale on the map is 1 inch = 40 miles. What is the actual
distance?
Answer:
52 miles
Step-by-step explanation:
You can use simple law of proportions to calculate this one.
[tex]\frac{1.3 inch}x} = \frac{1inch}{40mile}\\x= 52 miles[/tex]
solve for x and you get 52 miles.
I have added a similar example below if that helps further explain this.
Fill in the blanks
With the options below
Answer:
The value of x = 33 units (Approx.)
Step-by-step explanation:
Given triangle is a right angle triangle;
So,
Base of triangle = 18 unit
Angle with base = 57°
Find:
The value of x
Computation:
Using trigonometry function;
Cosθ = Base of triangle / Hypotenuse triangle
Cos57 = 18 / x
0.544 = 18 / x
The value of x = 18 / 0.544
The value of x = 33.088
The value of x = 33 units (Approx.)
The Hunt family's pancake recipe uses 2 teaspoons of baking powder for every 1 3 of a teaspoon of salt. How much baking powder would they need if they used 1 teaspoon of salt?
Angle 1 and angle 2 are shown in the diagram below.
Which of the following shows an equation that can be used to determine the measures of angle 1 and angle 2 and the actual measures of angle 1 and angle 2?
Equation: 90 = 25.8 + 3.5x
Angle 1: 64.2°
Angle 2: 25.8°
Equation: 90 =
Angle 1: 50.9°
Angle 2: 39.1°
⊝
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Equation: 180 =
Angle 1: 127.5°
Angle 2: 52.5°
Answer:
Equation: 180 = 127.50 + 3.5x
Angle 1: 135.45°
Angle 2: 44.55°
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
9/4x + 101.7 + 1 1/4x +25.8 = 180
Change the mixed number to an improper fraction
9/4x + 101.7 + 5/4x +25.8 = 180
Combine like terms
14/4x +127.5 = 180
Subtract 127.5 from each side
14/4x = 180-127.5
14/4x = 52.5
Multiply each side by 4/14 to isolate x
x =52.5 * 4/14
x = 15
Angle 1 = 9/4x +101.7 = 9/4*15 + 101.7 = 33.75+101.7=135.45
Angle 2 = 1 1/4x +25.8 = 5/4 (15) +25.8 =18.75+25.8=44.55
What is the slope of a line that is perpendicular to the graph of y=
5/3 x + 8?
Answer:
-3/5
Step-by-step explanation:
The slopes of perpendicular lines are negative recipricals
The negative reciprocal of 5/3 is -3/5
For the right triangles below, find the values of the side lengths h and b.
Round your answers to the nearest tenth
Answer:
5.8
Step-by-step explanation:
The circumference of a circle is 6.28 meters. What is the circle's radius?
C = 6.28 m
I need help no links or files they get removed by brainly
Finding a final amount in a word problem on exponential growth or decay
A city has a population of 260,000 people. Suppose that each year the population grows by 7.5%. What will the population be after 14 years?
Use the calculator provided and round your answer to the nearest whole number.
1. Una empresa pagó S/. 72 180 por un lote de 36 laptops y S/. 101 220 por un lote de 84 impresoras. ¿Cuál es el precio por unidad de cada producto?
Answer:
Step-by-step explanation:
A company paid S /. 72 180 for a batch of 36 laptops and S /. 101 220 for a batch of 84 printers. What is the price per unit of each product?
For Laptops
72 180/36
= 2005
For Printers
101 220/84
= 1205
PLEASE ANSWER QUICK!! what’s the correct answer?
Answer:
48r
Step-by-step explanation:
picture, brainliest
Answer:D
Step-by-step explanation:
PLEASE PLEASE HELP I REALLY NEED THIS!! THANK YOU
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Answer:
12 right 6 up (12,6) and 3:1 or 3
Step-by-step explanation:
Basit plate and online Pin Ball game the first time we got our score of 25000 point then he is called 125000 point and third time he scored 30000 what was his Score per game ?
Answer:
60000 points per game
Step-by-step explanation:
Basit played an online pin ball game. The first time he got a score of 25000 points than he scored 125000 points and the third time he scored 30,000 . What was his average score per game.
Solution:
Average is used to represent a list of numbers by a single number. This is usually done by summing each of the numbers in the list and then dividing this result by the amount of numbers in the list.
Since Basit, had 3 scores which were 25000 points, 125000 points and 30000 points. To find the average, we sum all the scores and divide the result by 3 (that is because we have 3 scores). Hence:
Average score per game = (25000 + 125000 + 30000) / 3 = 60000 points per game
Can someone show me the steps to solving this?!?!!
Answer:
la raíz cuadrada entre 3