If the slope of a line and a point on the line are known, the equation of the line can be found using the slope-intercept form, y = mx + b. To do so, substitute the value of the slope and the values of x and y using the coordinates of the given point, then determine the value of b. Using the above technique, find the equation of the line containing the points (-4,7) and (2,-2).
What is the equation of the line?
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
Answer:
y=-3/2x+1
Step-by-step explanation:
NOTE: Doing graphs by hand is a lot easier, it saves a lot more time as well.
Step 1: plot your 2 known points.
Step 2: draw a line that goes between both points
Step 3: find the distance of the points in RISE/RUN format.
-9/6. The slope is negative because the line goes down to the right.
Step 4: find your y-intercept.
1.
Step 5: simplify your equation
-9/6 = -3/2
guys pls help me!!!!!!!
Answer:
x = 131
Step-by-step explanation:
the angle adjacent to x on line l corresponds to 49° and are congruent, then
49 and x are adjacent and sum to 180° , that is
x + 49 = 180 ( subtract 49 from both sides )
x = 131
if f(x)=3x-15 and g(x)=2x+11; find f(g(2))
Answer:
f(g(2)) = 30
Step-by-step explanation:
Evaluate g(2) , then substitute the value obtained into f(x)
g(2) = 2(2) + 11 = 4 + 11 = 15 , then
f(15) = 3(15) - 15 = 45 - 15 = 30
Step-by-step explanation:
[tex]f(x) = 3x - 15 \\ g(x) = 2x + 11 \\ f(g(x)) = 3(2x + 11) - 15 \\ f(g(x)) = 6x + 33 - 15 \\ f(g(x)) = 6x + 18 \\ f(g(2)) = 6(2) + 18 \\ f(g(2)) = 12 + 18 \\ \boxed{f(g(2)) = 30}[/tex]
f(g(2)) = 30 is the right answer.3/7x2/3.....................
Answer:
3/7 times 2/3 is 2/7
Step-by-step explanation:
I used a calculator ! Please let me know if i am incorrect.
Answer:
0.28571428571
basically 0.28
Step-by-step explanation:
gooogle calculator
A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters. Two two-centimeter holes are drilled in the plate, positioned as shown in the figure. Find the coordinates of the center of each hole.
top hole
x = 38 cos 60
y = 38 sin 60
bottom hole
x = 38 cos 30
y = 38 sin 30
The coordinate of holes is (43.3, 25) and (25, 43.3).
CircleIt is a special kind of ellipse whose eccentricity is zero and foci are coincident with each other. It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Given
A steel plate has the form of one-fourth of a circle with a radius of 54 centimeters.
Two 2 centimeter holes are drilled in the plate.
To findTwo 2 centimeter holes are drilled in the plate, positioned.
How to find the position of holes?Holes are at 50 cm from the center at an angle of 30 and 60 degrees.
So the coordinate will be given by
[tex]\rm x = r\ cos \theta \ \ \ \ \ \ \ \ y = r\ sin \theta[/tex]
Then for the first hole r = 50, at 30 degrees,
[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos30 \ \ \ \ \ \ \ \ & \rm y = 50 sin30\\& \rm x = 43.3 \ \ \ \ \ \ \ \ & \rm y = 25\\\end{aligned}[/tex]
For the second hole r = 50, at 30 degrees,
[tex]\begin{aligned} & \rm x = r\ cos \theta \ \ \ \ \ \ \ \ & \rm y = r\ sin \theta\\& \rm x = 50 *cos60 \ \ \ \ \ \ \ \ & \rm y = 50 sin60\\& \rm x = 25 \ \ \ \ \ \ \ \ & \rm y = 43.3\\\end{aligned}[/tex]
Thus the coordinate of holes is (43.3, 25) and (25, 43.3).
More about the circle link is given below.
https://brainly.com/question/11833983
Complete the equation. ( − 4 ) 2 =
Answer:
-16
Step-by-step explanation:
multiply 4x4 and then determine if its negative or positive
please help with solving systtems of equation by graphing I'm lost
Answer:
Solution is (3, -3)
Step-by-step explanation:
To solve by graphing, you literally have to graph both lines to see where they intersect. That point of intersection is the solution to the given system.
Given the following linear equations:
y = - x where the slope (m) = -1, and the y-intercept (b) = 0.
y = x - 6 where the slope (m) = 1, and the y-intercept (b) = -6.
Plot the intercepts (0, 0) for the first line, and (0, -6) for the second line, as a starting point, then use the given slopes (rise over run) of each line to plot the next points. Repeat the process until you have enough points to connect with and create a line.
Attached is a screenshot of the graphed systems of linear equations. It shows that the solution is (3, -3).
Please mark my answers as the Brainliest, if you find this helpful :)
A pair of pants that regularly costs $55 are on sale for 35% off the regular price. What is the sale price of the pants?
Answer:
$35.75
Step-by-step explanation:
100-35=65
.65 x 55 = 35.75
Answer:
$35.75
Step-by-step explanation:
35% converted to decimal is .35
55x.35= 19.25 the sale amount
$55 original price - $19.25sale = $35.75 sales price of pants.
Perimetre of rectangle is 256cm.it length is 3times as long as its breadth.find breadth or length.
Which function has a domain of {all real values of x : x does not equal 1)? **Hint: Graph the function and look for an asymptote where x does not equal 1.
See attached below..
Please help, I need an explanation because I don’t understand how this works.
State if the triangle are similar amd if they are, give the reasons AA SSS SAS
which triangles?
i see no triangles
try again bro
How do you turn a whole number into a fraction
Answer: To convert a fraction into a whole number: Divide the numerator by the denominator, only if the numerator is a multiple of the denominator. Let us see an example of this conversion.
this is for algrebra so it might not be what you are looking for
For every 10 tickets to a horror movie that a popular movie theater sells, they sell 9 tickets to a comedy movie. If they sold 5 more horror movie tickets in one night, how many tickets to both movies did they sell altogether?
Find the next three terms of the arithmetic sequence.
-14, -19, -24, . . .
Answer:
-29, -34, -39
Step-by-step explanation:
the numbers are going down by five each time.
-24-5=-29
-29-5=-34
-34-5=-39
Hope this helps!
Answer:
-29
Step-by-step explanation:
because -14 and -19 is minus 5
De'shawn pays $8.16 for 12 pounds of sugar what is the price per pound of sugar asp
Hello, to do this, simply do 8.16 divided by 12 to get 0.68 cents per pound. 0.68 is your price per pound.
Find the value of y that will make these two triangles congruent:
Answer:
5
Step-by-step explanation:
if the triangles are congruent then the side lengths must be equal:
JL=PM
PN=LK
NM=JK and
4y + 12 = 32 subtract 12 from both sides
4y = 20 divide both sides by 4
y = 5
A water tank currently contains 275 gallons of water. The amount of water in the tank will decrease at a constant rate of 15 gallons per week.
Which function can be used to find t, the total number of gallons of water in the tank after w weeks?
F t = 15w - 275
G t = -15w + 275
H t = 275w - 15
J t = -275w + 15
The function that can be used to find t, the total number of gallons of water in the tank after w weeks will be t = -15w + 275
The initial volume of water in the tank is 275 gallons
The amount of water in the tank decreases at a constant rate of 15 gallons per week.
t = total number of gallons water in the tank after weeks
w = number of weeks
Therefore, the following equation/theory can be establish
The initial gallon of water in the tank is 275 gallons that means we should have positive value of 275 in the equationThe gallon of water reduces by 15 gallons each week which means 15 gallons will be subtracted from the initial gallons of water each week. This means we have to find the product of -15 and w(number of weeks).The equation will be
t = 275 - 15w
or
t = -15w + 275
Check here for more details on how to find linear equations: https://brainly.com/question/17846793?referrer=searchResults
one will get the brainliest,Help me! to do this..i have been confused of this..please help
Simplify: (5/7-1/2 ) ×2 4/5 .
Simplify : 7/12 ÷( 1 1/3-3/4 )
Simplify∶ 2/3 ÷(1/2 ×4/5)
Simplify : (1/2+1/3) ÷ 1 2/3
Simplify : 2 1/3 ×2/7+1/4
Simplify : 3/4 of ( 3/5 + 1/3 )
Simplify : 3 1/3 of ( 3/5 -1/2 )
Simplify : ( 1 3/4 -1/2 ) ×2 1/5
Simplify : ( 5/9 –1/3 ) ÷2
Simplify : 1/4 +( 2 1/3 ×2/7 )
Simplify : 1/7 of ( 6 3/8 -1/4 )
Simplify : 5/11 of ( 1/2 + 3/5 ) ( 12 ×5 marks)
(13)From the books presented to a school library, 1/3 are educational publications
1/5 are literary publications, 3/7 of the remaining are translations. The
remaining books are children’s stories.
(i) What fraction of the total number of books is the educational and lite
1) 0.6
2) 1
3)1.66666666667
4)0.5
5)0.91666666666
6)0.7
7)0.333333333
8)2.75
9)0.111111111111
10)0.91666666666
11)0.875
13) i think this is it
8/15
What equation is equivalent to 4x+3x=7-6
Answer: A: 3x + 6 = 4x + 7 1: 9x = 4x + 7
B: 3(x+6) = 4x + 7 2: 3x + 18 = 4x + 7
C: 4x + 3x = 7 - 6 3: 3x = 4x + 7
4: 3x - 1 = 4x
5: 7x = 1
Step-by-step explanation:
I need help asap!! ty
Answer:
17/5
Step-by-step explanation:
put the value of pi in 2/3p+3
now,
[tex] \frac{2}{3} \times \frac{3}{5} + 3[/tex]
3 cancels 3 and
2/5 +3
=
[tex] \frac{2 + 3 \times 5}{5} [/tex]
hence your answer will be 17/5
F(x)=6x+2
g(x)=2x+4/5
Answer:
Step-by-step explanation:
G(fx)= 2x+4÷5×6x+2
G(fx)= 2x+0.8×6x+2
G(fx)= 2x×6x+0.8+2
G(fx)= 12x+2.8
1. Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a. Show your work.
Answer:
The answer is y=ax+9−2a i think
Which equation represents a line which is parallel to the y-axis?
Answer:
x= 3
Step-by-step explanation:
I hope this helps but if there are options lmk
Answer:x= -2
Step-by-step explanation:
What is the coefficient in the expression 8−x7? Question 7 options: −7 7 17 −17
Answer:
7
Step-by-step explanation:
Please help me solve 9 and 10 ASAP please
Answer:
[tex] \sqrt{ |?| } [/tex]
PLEASE ANSWER, 100 POINTS!
(Please read the full question before you answer.)
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).
x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2
3
4
5
6
Answer:
x
=
−
0.3559322
Step-by-step explanation:
1 package of COOKIE mix requires 2 T water and 1 stick of butter. How much water is required if you DOUBLE the recipe?
Answer:
4 T
Step-by-step explanation:
2 T (2) = 4 T
Please help me! The answer has to be in this form (____,___)
IF U CAN PLEASE SHOW ME WHERE THE LINE MEET ON THE GRAPH
Answer: (2, 4)
Step-by-step explanation:
This is in y=mx+b form
b is the y intercept so the point will be (0, b) for both equations
the m represents the slope to find the x intercept substitute y as 0
Plotting the graph the lines would meet at points (2, 4).
Answer:
Step-by-step explanation:
It is roughly 5,900 miles to fly from Denver to Rio de Janeiro. If it takes the airplane roughly 12 hours to reach its destination of Rio de Janeiro, what was the average speed of the airplane in feet per hour?
Answer:
I think I know !
Step-by-step explanation:
Solve the equation. 2p + 15 − 11p = 3(5 − 3p)
0=0
For the full explanation simply copy and paste your equation to your device browser.
Answer:
2p+15-11p=3(5-3p)
2p-11p+15=15-9p
-9p+9p=15-15
p£R
