What is the slope of the given line? (Use only whole numbers or fractions to answer)
What is the y-intercept of the given line? (Put your answer as the y-intercept point with no spaces)
Answers
Answer:
Slope m= -12/5
Step-by-step explanation:
Slope Solution
m=riserun=ΔyΔx
m=y2−y1x2−x1
m=−9−37−2
m=−125
m=−125
In decimals:
m = -2.4
Point Slope Form
y−y1=m(x−x1)
y−3=−125(x−2)
In decimals:
y−3=−2.4(x−2)
Slope Intercept Form
Find the Equation of the Line:
y=mx+b
by solving for y using the Point Slope Equation.
y−y1=m(x−x1)
y−3=−125(x−2)
y−3=−125x−(−125×2)
y−3=−125x−−245
y−3=−125x+245
y=−125x+245+3
y=−125x+395
m=−125
b=395
In decimals:
y=−2.4x+7.8
Standard Form of a Linear Equation
Ax+By=C
Starting with y = mx + b
y=−125x+395
Multiply through by the common denominator, 5, to eliminate the fractions:
5y=−12x+39
Then rearrange to the Standard Form Equation:
12x+5y=39
A=12
B=5
C=39
y-Intercept, when x = 0
y=mx+b
y=−125x+395
When x = 0
y=−125×0+395
y=395
y-intercept=395
(x,y)=(0,395)
In decimals:
(x,y)=(0,7.8)
x-Intercept, when y = 0
y=mx+b
y=−125x+395
When y = 0
0=−125x+395
125x=395
x=395×512
x=3912
x=134
x-intercept=134
(x,y)=(134,0)
In decimals:
(x,y)=(3.25,0)
Related Questions
HELPPPP really quick
Answers
Answer:
y= 4 - 2/3 x, x= x
Step-by-step explanation: Substitute y=4 -2/3x [2x=12-3 (4-2/3x)]
Simplify: [2x=2x]
For y = 4- 2/3x
Expressing y in terms of x: y= 4 -2/3x
So the solutions to the system of Equations are: y = 4 - 2/3 x, x = x
Help does this even make sense
Answers
Answer:
You can set two simultaneous equations and solve it
Let the cost of a plate be x, and the cost of a cup be y.
5x + 4y = 19.6 --- 1
6x + 5y = 23.8 --- 2
25x + 20y = 98 --- 3
24x + 20y = 95.2 --- 4
3 - 4 : x = 2.8
Sub x = 2.8 into 1
5(2.8) + 4y = 19.6
4y = 5.6
y = 1.4
so 1 plate costs 2.8 dollars and 1 cup costs 1.4 dollars
hope this helps!!! please mark brainliest!!!!
AN
O A. SAS
DB. HL
O C. LL
O D. ASA
O E. LA
F. AAS
SUBMIT
Answers
Answer:
Its SAS( side angle side) axiom.
What number should be subtracted from (3/4+-1/3) to get 1/4
Answers
Answer:
5/6
Step-by-step explanation:
( 3/4+1/3) = 3 × 3/ 4 × 3 + 1 × 4/ 3 × 4 = 9/12 + 4/12 = 9+4/ 12 = 13/ 12 = 1 1/12
13/ 12 - 1/ 4 = 13/ 12 - 1 × 3/ 4 × 3 = 13/ 12 - 3 / 12 = 13 - 3 / 12 = 10 / 12 = 10 ÷ 2 / 12 ÷ 2 = 5/6
13/ 12 - 5/ 6 = 13/ 12 - 5 × 2/ 6 × 2 = 13/ 12 - 10/ 12 = 13 - 10/ 12 = 3/ 12 = 3 ÷ 3/ 12 ÷ 3 = 1/4
Marina is spinning a spinner with 15 equal sectors labeled 1 through 15. What is P(factor of 10)? 115 415 13 23
Answers
Answer:
4/15
Step-by-step explanation:
Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Marina is spinning a spinner with 15 equal sectors labeled 1 through 15.
We have to find the probability P(factor of 10)
The factors of 10 are 1, 2, 5, and 10.
Out of the 15 sectors, there are four sectors that correspond to the factors of 10 (sectors 1, 2, 5, and 10).
Therefore, the probability of landing on a sector that corresponds to a factor of 10 is:
P(factor of 10) = 4/15
Hence, Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.
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help! (pic below, choices r A or B!)
Answers
Find the angle which is vertical to angle 5 and write your result in the empty box.
Answers
Answer:
< 2.
Step-by-step explanation:
< 2 is vertical to < 5.
In the UK we say they are opposite angles, which, to me, makes more sense.
0.6 greater than 0.59?
Answers
Answer:
Yes, 0.6 is greater than 0.59.
Step-by-step explanation:
The easiest way to determine which is greater, 0.6 or 0.59, is to plot both values on a number line.
I need help please, Its for today
Answers
Answer:
a) 1,2; 3.4
b) <1=<6, <6+<6+72=180, 2<6=108, <6=54.
<1=54
You can tell this by "these are parallel lines"
The top and bottom lines are parallel. what is the value of X?
Answers
Answer:
B, the answer is B or C believe me
Step-by-step explanation:
Explanation:
(alternate interior angle)
75+45+x=180
120+x=180
x=60
If sin o = -square root 3/2 and pi < o < 3pi/2 what are the values of cos and tan?
Answers
Answer:
c
Step-by-step explanation:
Green had d dollars. He spent $821 on a new TV. Now he has $121 left. How much money did he have before he bought a TV?
Answers
The equation y+4x=100 represents your distance y (in meters) from the finish line x seconds after you begin your leg of a relay race. The equation y+3.5x=96 represents your opponent’s distance from the finish line. How far do you need to run until you catch up to your opponent?
Answers
Find the digit 5 in each of these numbers.
15.2
3.5
The 5 in 3.5 is 1 place to the right of the 5 in 15.2.
Which sentence correctly compares the values?
Answers
each number has its place on the number line so true
Step-by-step explanation:
and 5 is one place to the left in 15.2
What is the measure of \angle D∠Dangle, D?
Answers
Answer:
63⁰
Step-by-step explanation:
As in cyclic quadrilateral sum of opposite angles us equal to 180⁰
Select all the expressions that are equivalent
Answers
Answer:
B, C, D
Step-by-step explanation:
One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...
[tex]4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}[/tex]
Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.
[tex]4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}[/tex]
Of course, that repeated multiplication can be shown explicitly:
[tex]\dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}[/tex]
The equivalent expressions to 4^(-3) are B, C, D.
_____
Additional comment
The expression of G evaluates to ...
[tex]\dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}[/tex]
A boat heading out to sea starts out at Point A, at a horizontal distance of 1465 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 13º. At some later
time, the crew measures the angle of elevation from point B to be 8°. Find the
distance from point A to point B. Round your answer to the nearest foot if
necessary.
Answers
By using what we know about right triangles, we will see that the distance is 1479.4 ft
How to find the distance between point A and point B?We assume that the distance between the points is a hypotenuse of a right triangle whit one of the angles measuring 8°, and the adjacent cathetus measuring 1465 ft.
Then we use the relation:
Cos(a) = (adjacent cath)/(hypotenuse)
cos(8°) = (1465 ft)/(distance)
distance = (1465ft)/cos(8°) = 1479.4 ft
If you want to learn more about right triangles, you can read:
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HEL;P PEWLASE PEALSE
Answers
[tex]\sin \angle F~~= \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~~~~~=\dfrac{GE}{EF}\\\\~~~~~~~~~~~~=\dfrac 2 3\\\\\implies \angle F=\sin^{-1} \left(\dfrac 23} \right)=41.8^{\circ}\\\\\text{Hence the measure of angle F is}~ 41.8^{\circ}[/tex]
Select the correct answer from the drop-down menu. consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, and 12. the values 11, 31, 22, and 12 constitute a random sample drawn from the data set. the sample mean is more than the population mean by .
Answers
The correct answer from the drop-down menu is 3.5.
What is the mean value?The mean is the average of the numbers. It is easy to calculate add up all the numbers, then divide by how many numbers in the data set.
Therefore the population mean is the sum of the 12 data set values divided by 12
4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.
Therefore the population mean
= 186/12
= 15.5.
The sample mean is given by the sum of the 4 sample values divided by 4
11 + 31 + 22 + 12
Sum = 76.
Therefore the sample mean
= 76/4
= 19.
The sample mean is more than the population mean by
= 19 - 15.5
= 3.5.
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how many degrees is 7/9 of a semicircle
Answers
Answer:
140
Step-by-step explanation:
A semicircle is 180 degrees
7/9x180=140
Answer: 7/9 degrees = 0.00216 cir
Step-by-step explanation:
The angle in circles is equal to the degrees divided by 360. ( For example, here's how to convert 500 degrees to circles using the formula above.500° = (500 ÷ 360) = 1.388889 cir)
what is the mean of the data set 17,9,11,7
Answers
Answer:
11
Step-by-step explanation:
Mean - add all the numbers up and divide by the amount of numbers you have.
Add all the numbers up-
17 + 9 + 11 + 7 = 44
Divide by the amount of numbers you have, since you have 4, divide by 4
44/4 = 11
11 would be your answer!
I hope it helps! Have a great day!
Muffin ^^
At a farmers market, taylor buys 4 pounds of cherries, 2 pounds of strawberries, and 3 pounds of blueberries for $29.51. heather buys 1 pound
of cherries, 4 pounds of strawberries, and 2 pounds of blueberries for $21.83. jamle buys 2 pounds of cherries and 5 pounds of strawberries for
$21.93.
which system of equations models this situation, where crepresents cherries, s represents strawberries, and b represents blueberries?
Answers
The system of equations that model the situation is:
4c + 2s+ 3b == $29.51
c + 4s + 2b = $21.83
2c + 5s = $21.93
What are simultaneous equations?Simultaneous equations are more than one equation that would have to be solved jointlu in order to determine the required values.
Methods of solving simultaneous equations are:
Elimination method Graph method Substitution methodTo learn more about simultaneous equations, please check: https://brainly.com/question/25875552
Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth of $3.20 per pound. what is the cost per pound of the blend?
Answers
$4.04 is the answer.
30 x $6.00 = $180
70 x $3.20 = $224
$180 + $224 = $404
404/100 = $4.04
The cost per pound of the blend will be $4.04.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth $3.20 per pound.
Then the cost per pound of the blend will be
⇒ 30 x $6.00 + 70 x $3.20
⇒ $180 + $224
⇒ $404
The cost per pound of the blend will be
⇒ $404 / 100
⇒ $4.04
The cost per pound of the blend will be $4.04.
More about the Algebra link is given below.
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5. Mount Logan in the Yukon is 3. 702 miles high. Mount McKinley in Alaska is 3. 848 miles high and Pico de Orizaba in Mexico is 3. 571 miles high. Order these mountains by height from greatest to least. *
1 point
Logan, McKinley, Pico de Orizaba
McKinley, Logan, Pico de Orizaba
Pico de Orizaba, Logan, McKinley
Logan, Pico de Orizaba, McKinley
Answers
Answer:
McKinley, Logan, Pico de Orizaba
Step-by-step explanation:
Classify each of the following angles as acute, obtuse,right,straight, or reflex
Answers
Answer:
The first one is obtuse because it is larger than 90 degrees.
The second one is reflex shown below:
Step-by-step explanation:
A. Determine the number of diagonals that can be drawn in each polygon.
1. Triangle
2. Pentagon
3. 15-sided polygon
4. 18-sided polygon
Answers
Answer:
Here is your answer...
Step-by-step explanation:
1. Triangle = 0
2. Pentagon = 5
3. 15-sided polygon = 90
4. 18-sided polygon = 135
A survey on healthy choices was given to gym members at Work It Out. The results showed that 90% of its members drank protein shakes. Of the members who drank protein shakes, 30% took weight-loss medication whereas only 10% of members who did not drink protein shakes took weight-loss medication. What is the probability that a gym member does not take weight-loss medication?
Answers
Answer:
63%
Step-by-step explanation:
First, create an easy number to start being able to grasp the concept.
Let us start with 100 members of "Work it Out"
90% drank protein shakes, which translates to 90 people.
30% of 90 people took weight loss medication, this is equal to 27 people. The 10% of the members that didn't take protein shakes (10) took weight loss medication. Add 10 to 27, then subtract from 100 to get the people that don't use weight loss medication. This gets us 63, then put over the total number of members to get 63%.
Hope this helps, and please mark me brainliest! :)
Answer:
63%
Step-by-step explanation:
Mark other person, I don't have a good explanation
Please help. ASAP. This is so confusing.
Answers
1. right triangle?
-> c²= g²+b²
c²= 20²+21²
c²= 841
c=V841
c=29
-> triangle BCG is right
2.
cos B= 20/29
tan B= 21/20
sin B= 21/29
sin G= 20/29
cos G= 21/29
tan G= 20/21
Suppose that you have a square pyramid like the one pictured. Which plane section will produce a trapezoid? Question 17 options: A) A cross section cut parallel with the bottom B) A cut parallel to the vertical axis, but off the vertical axis C) A cut parallel to the vertical axis, directly through the vertical axis D) Cutting off one of the bottom corners
Answers
Answer:
B
Step-by-step explanation:
Cut vertical but off vertcal axis.
A will produce a square and C and D will produce triangles.
How was it determined that the base is 8 units long and the height is 3 units?
Answers
Answer:
Each one of the little squares is called a unit. they count in a line how many units are on the base. they did the same upward for the height
Step-by-step explanation: