Answers
Answer:
[tex] y = -\frac{10}{3}x - 23 [/tex]
Step-by-step explanation:
Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]
Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.
Thus:
-3 = (-10/3)(-6) + b
-3 = 20 + b
Subtract 20 from each side
-23 = b
b = -23
substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.
The equation of the line would be:
✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]
[tex] y = -\frac{10}{3}x - 23 [/tex]
Related Questions
You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?
Answers are in standard notation
Answers
Answer: Aproxamatly 18.999999999999999
Step-by-step explanation:
What is the value of x?
- (12 – 8x) = 5x +15 – 7x
Enter your answer in the box.
X=
Answers
Answer:
Step-by-step explanation:
-(12-8x)=5x+15-7x
-12+8x=5x+15-7x
8x+7x-5x=15+12
10x=27
x=27/10
Answer:
x = 27/10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
-(12 - 8x) = 5x + 15 - 7x
Step 2: Solve for x
Distribute negative: -12 + 8x = 5x + 15 - 7xCombine like terms: -12 + 8x = -2x + 15Add 2x on both sides: -12 + 10x = 15Isolate x term: 10x = 27Isolate x: x = 27/10Identify the vertex of
y = 2x2 − 4x − 2
Answers
vertex at
(
−
1
,
−
4
)
Explanation:
Given:
y
=
2
x
2
+
4
x
−
2
Convert the given form into "vertex form"
y
=
m
(
x
−
a
)
2
+
b
with vertex at
(
a
,
b
)
XXX
y
=
2
(
x
2
+
2
x
)
−
2
complete the square
XXX
y
=
2
(
x
2
+
2
x
+
1
)
−
2
−
2
XXX
y
=
2
(
x
+
1
)
2
−
4
XXX
y
=
2
(
x
−
(
−
1
)
)
2
+
(
−
4
)
which is the vertex form with vertex at
(
−
1
,
−
4
)
graph{2x^2+4x-2 [-5.455, 7.034, -5.54, 0
What is 9.52% expressed as a decimal?
Answers
Answer:
0.0952
Step-by-step explanation:
Percent just divide by 100
9.52 ÷ 100 = 0.0952
Answer:
0.0952
Step-by-step explanation: In order to get a decimal out of a percentage you take the decimal and put it two places to the left. Hope this helps!
.helppppppppppppppp!!!!!
Answers
answer: B
Step-by-step explanation: Its the only one that makes sense because as you see there are only four numbers to go off of, and b is the only one tht makes sense tbh
what is 1234567654323456765432345678876543234567 times 1234567654321234567 times123456788765432345678765432345 times 4 mwahahahhahahahhahah
Answers
Answer:
I have no idea
Step-by-step explanation:
sigh
12345676543234567654323456788765 x 1234567654321234567 x 12345678876543234567876543234...
first you start with12345676543234567654323456788765 x 1234567654321234567
=
1.5241573e+49
then you multiply the rest1.5241573e+49 x 12345678876543234567876543234
=
1.8816757e+77
now times by 41.8816757e+77 x 4
=
7.5267028e+77
-------------------------------------------------------------------------------------------------
bro this was so hard , , ,
Can someone please help me with this question
Answers
Answer:
Eat some mc donolds then ur good
Step-by-step explanation:
Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good Eat some mc donolds then ur good
Determine if the number is a negative or positive integer. Gain 4 yards in the last down.
Answers
Answer:
Positive
Step-by-step explanation:
It's positive because the person is gaining 4 yards, not losing it.
Which point is a solution to this system of inequalities?
y 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D) (4,1)
Answers
Answer:
h
Step-by-step explanation:
Answer:
the answer is c
Step-by-step explanation:
what is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2cm and a height of 9 1/2cm?
Answers
Answer:
8075.
Step-by-step explanation:
Volume of the prism
= 12 1/2 * 8 1/2 * 9 1/2
= 25/2 * 17 / 2 * 19/2
= 8075/8 cm^3
The volume of the small cubes = (1/2)^3 = 1/8 cm^3
So the number required = 8075 / 8 / 1/8
= 8075*8 / 8
= 8075.
Lamar uses his credit card to purchase a new video game system for $375.19. He can pay off up to $175 per month. The card has an annual
rate of 19.2% compounded monthly. How much total interest will he pay?
Answers
Answer:
B
Step-by-step explanation: He will make two payments on the game system and then u divide the 175 with the 19.2 and that will give u the answer
True or false are all structures made by humans and why
Answers
Answer:
mostly. trees and most plants arent
PLZ HELP IM WASTING MY POINTS FOR THIS Match each expression to its value.
1. -1 + 2
1
2. 1 + (-2)
-3
3. -1 - 2
3
4. 1 - (-2)
-1
Answers
Answer:
1. 1
2. -1
3. -3
4. 3
If you have any questions on the topic let me know. :)
Answer:
1. 1
2. -1
3. -3
4.3
Step-by-step explanation:
...
3200 dollars is placed in an account with an annual interest rate of 8.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 9600
dollars?
Hello, I come from the deltamath past to help you, in the deltamath future. It’s 13.9
Answers
Step-by-step explanation:
From the given data, it can be determined that :
Amount = $9600
Principal = $3200
Rate = 8.25% = 0.0825
Number of years should be calculated.
To find the interest :
Amount = Principal + Interest
Therefore, the interest can be calculated by the formula,
Interest = Amount - Principal
⇒ 9600 - 3200
⇒ 6400
The interest needed is 6400.
To find the number of years required to reach this interest :
Use the formula for simple interest,
Simple interest = Pnr /100
where,
P is the principal
n is the number of years
r is the rate
Substitute all the given values in the simple interest formula,
Simple interest = 3200 × n × 0.0825
6400 = 264 n
n = 6400 / 264
n = 24.2 which is approximately 24 years.
Therefore, it takes 24 years for the account value of 3200 dollars to reach 9600 dollars.
1. The temperature was very cold. Then the temperature doubled. Then the temperature dropped by 10 degrees. Then the temperature increased by 40 degrees. The temperature is now 16 degrees. What was the starting temperature?
Answers
Answer:
10,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
The difference between two numbers is 8. Twice the number is 4 more than the larger number. What is the smaller number?
Answers
Answer:
If the two numbers are x and y, then:
x + y = 8
18 - 2x = 4y - 2.
When we subtract y from both sides in our first equation we get:
x = 8 - y, so:
18 - 2(8 - y) = 4y - 2
18 - 16 + 2y = 4y - 2
2 + 2y = 4y - 2
2y = 4
y = 2
Since x + y = 8, and y = 2, x = 6, and since 6 > 2, the larger number is 6.
What is the length of the line?
Answers
Answer:
4 units
Step-by-step explanation:
Answer:3/4
Step-by-step “ time/ distance?
What is the value of the expression when a = 4, b = 3 , and c = 10?
3a4b−c
a 1
b 4
c 6
d 12
Answers
Answer:
3a4b-c
3(4)4(3)-10
12(12)-10
144-10
=134
Step-by-step explanation:
Answer:
134
Step-by-step explanation:
3×4=12
4×3=12
12×12=144
144-10=134
thats what I got
hope it helps
a owner increases the rent office house by 5% at end of each year if current its rent is ₹2500pm how much will be the rent after two years
Answers
Step-by-step explanation:
2500×5%=125
125×2=250
2500+250=2750$
Answer:
2756.25 This is what he will pay going into the third year.
Step-by-step explanation:
This is not as simple as it looks. Is the base number always 2500 no matter how many years go by?
Or do you compound the rent after each Year.
Simple Interest
Rent after the first year
Rent after first year = 2500 + 5%*2500
Rent after first year = 2500 + 125
Rent after first year = 2625
The rent after the second year will be the same.
Compound interest.
Rent after first year is 2625
At the end of the second year it will be 2625 + 2625*5%
Second year payment = 2625 + 2625*5/100
Second year payment = 2625 + 131.25
Second year payment = 2756.25
What is 5/8 ÷ 3/4 I need to know this please hurry
Answers
Answer:
5/6
Step-by-step explanation:
i used a caculater
BRAINLIEST PLEASE
What is an equation of the line that passes through the points (-4,-4) and (4,6), answer in fully reduced form.
Answers
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of lineAnswer:
Step-by-step explanation:
Use
y
2
−
y
2
x
2
−
x
1
4
−
9
2
−
3
=
−
5
−
1
=
5
Answer link
Jim G.
Jun 11, 2018
y
=
5
x
−
6
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
to calculate m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
2
,
4
)
and
(
x
2
,
y
2
)
=
(
3
,
9
)
m
=
9
−
4
3
−
2
=
5
1
=
5
y
=
5
x
+
b
←
is the partial equation
to find b substitute either of the 2 given points
into the partial equation
using
(
2
,
4
)
then
4
=
10
+
b
⇒
b
=
4
−
10
=
−
6
y
=
5
x
−
6
←
is the equation of line
5. Past experience shows that the standard deviation of the distances traveled by consumers to patronize Chinese restaurants is 2 km. How large a sample is needed to estimate the population mean distance traveled to within 0.4 km
Answers
Answer:
96
Step-by-step explanation:
Given that :
Standard deviation (s) = 2km
Error in estimation is within 0.4 km ; Error (E) = 0.4 km
Using the relation :
Sample size = ((Zα/2 * s) /E)^2
Using α = 0.05
The Zcritical at 0.05 = Z0.025 = 1.96
Sample size = ((1.96 * 2) / 0.4)^2
Sample size = (3.92 / 0.4)^2
Sample size = 9.8²
Sample size = 96.04
Required sample size = 96
A line has a slope of 9 and passes through the point (4, 5). What is its equation in point-slope form?
Answers
Answer:
y - 5 = 9 (x-4)
Step-by-step explanation:
Equation for (-2,-5) and (1,-3) in slope-intercept form
Answers
Answer:
y=2/3x-11/3
Step-by-step explanation:
First, find the slope.
m= y2-y1/x2-x1
-3+5/1+2 = 2/3
Slope is 2/3
Now, pick one of the coordinates and use that and the slope to put it in point-slope form.
Point slope form: y-y1=m(x-x1)
Let's use (1,-3)
y+3=2/3(x-1)
Distribute 2/3 to (x-1) and simplify to get the equation in slope-intercept form.
y+3=2/3x-2/3
y=2/3x-11/3
Answer:
y=2/3x-11/3
Step-by-step explanation:
use slope formula and slope intercept form. y=mx+b
PLEASE HELP QUICKK
Which slopes could be the slopes of perpendicular lines?
Question 1 options:
1/2 and 2
8 and -1/8
2 and 2
1 and -1
0 and undefined
Answers
The answer would be:
8 and -1/8
1 and -1
And could be 0 and undefined, but I'm not 100% sure
d=1/2at^2+s, solve for a
Answers
Step-by-step explanation:
Perhaps the equation is d=1/2at2 and you are given the distance (40 m) and acceleration (9.8 m/s2) and asked to find the time. or convert the equation in terms of t and then plug in the numbers to solve.
5x−7 = 3 help meee plz
Answers
Answer:
5x=3+7
5x=10
X=10/5
=2
Henry decorates the top of each cupcake with 3 walnuts. If he has 56 walnuts, is that enough to decorate 2 dozen cupcakes? Why?
Answers
Answer:
No he does not have enough walnuts
Step-by-step explanation:
So if one dozen cupcakes is 12 then two dozen is 24 and each one has 3 walnuts and he only has 56 walnuts then what you have to do is multiply 24 by 3 and get 72 so the answer is no he does not have enough
Answer:
No, in order to decorate 2 dozen cupcakes(24) he needs 72 walnuts. With 56 he can only decorate 18 cupcakes.
Step-by-step explanation:
There are 125 people on a mountain trail. If 84% of the people on the trail are on a hiking tour, how many people are on the tour
Answers
Answer:
Total people on the tour will be: 105 people
Step-by-step explanation:
Total people on a mountain trail = 125Given that 84% of the people on the trail are on a hiking tour.
We need to determine how many people are on the tour.
All we need is to multiply 84% or 0.84 by 125.i.e.
People are on the tour = 84% × 125
= 84/100 × 125
= 0.84 × 125
= 105 people
Therefore, total people on the tour will be: 105 people
what is 494 divided by 6.5
Answers
Answer:
76
Step-by-step explanation:
Answer:
494 divided by 6.5 =76
Step-by-step explanation:
