Write the equation of the line through the points (4, 5) and (12, 9)
Answer:
y = 1/2x + 3
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - 5 / 12 - 4 = 4/8 = 1/2
y = mx+b
slope/m = 1/2
y = 1/2x + b
5 = 1/2(4) + b
5 = 2 + b
3 = b
y = 1/2x + 3
The equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6
From the question,
We are to determine the equation of the line passing through the points (4, 5) and (12, 9)
Using the formula,
[tex]\frac{y-y_{1} }{x-x_{1}} = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
From the given information
x₁ = 4
y₁ = 5
x₂ = 12
y₂ = 9
Putting the parameters into the formula, we get
[tex]\frac{y-5}{x-4} =\frac{9-5}{12-4}[/tex]
Then,
[tex]\frac{y-5}{x-4} =\frac{4}{8}[/tex]
[tex]\frac{y-5}{x-4} =\frac{1}{2}[/tex]
Then,
[tex]x - 4 = 2(y-5)[/tex]
[tex]x - 4 = 2y-10[/tex]
[tex]x -2y = -10 + 4[/tex]
[tex]x -2y = -6[/tex]
Hence, the equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6
Learn more on determining the equation of a line here: https://brainly.com/question/18035751
please help with my guided practice
it's 88 I've been getting so mix up forgive me So the area of the square is 64. When you find the area of the triangle you multiply the base by its height, which is 6 by 8 and then you divide by two. 64+24=88
Find the length indicated.
5) Find AB
Please help
Answer:
20
Step-by-step explanation:
solve for m
Y=Mx+b
With explanation
Find the missing value in the follwing equivalent ratios: StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 4.5 inches Over question mark centimeters EndFraction To find how many centimeters are in 4.5 inches, you should 2.54 by 4.5 4.5 inches = centimeters
Answer:
11.43 centimeters
Step-by-step explanation:
Given the equivalent ratios :
StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 4.5 inches Over question mark
1 inch / 2.54 cm = 4.5 inch /?
Let missing value = x
1 inch / 2.54 cm = 4.5 inch /x
Cross multiply
1 inch * x = 2.54 * 4.5
1 inch * x = 11.43
x = 11.43 cm
Hence, missing value = 11.43 centimeters
Answer:
it is multiply and 11.43
(essay)
I was suprised that i....
It was about Mathematics factoring polynomials
Answer:
yes you should be surprised
pls respond ... 30 points :)
Answer:
B, 2x^2 - 4x + 8
Step-by-step explanation:
Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:
Length × Width = Area
Given these values, rearrange the formula to find the width:
Width = Area / Length
Then just substitute the values, and
simplify the expression:
Width = (4x^2 - 8x + 16) / 2
Width = 2x^2 - 4x + 8
Answer:
I think its B but dont keep my word as facts thats just what i think hope this helps even a little
Step-by-step explanation:
distance formula help
Answer:
[tex](0,-1)[/tex]
Step-by-step explanation:
[tex](x^{2} -x^{1} )(y^{2} -y^{1} )[/tex]- the formula
[tex](-1 - -1) = 0[/tex]
[tex](-8 - -7) =-1[/tex]
So, the answer is:
[tex](0,-1)[/tex]
or
[tex]0=-1[/tex]
^
this is the swiggly line
{(−7, 2), (−2, 2), (0, 1), (4, 5)}
Answer:
domain={-7,-2,0,4} and range={2,1,5}
Step-by-step explanation:
Find the slope of the line that passes through the points (-2,3 ) and (4,-5).
Answer: The slope is m = -[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Answer: - 4,3
Step-by-step explanation:
help please :( help me :)
Answer:
0.7
Step-by-step explanation:
-4 - x1
3 - y1
2- x2
-1- y2
-1 - 3
2 - -4
-4
6
-4/6 = 0.7
Answer:
-4/6
Step-by-step explanation:
-1-3/2-(-4)=-4/6
the number of pounds of dog food that a pet store has is represented by the equation
How many pounds of dog food will the pet store have after 21 days?
Answer:
what is the equation?
Step-by-step explanation:
will mark brainlyest 10/19
Answer:
answer is 5
Step-by-step explanation:
Solve for x:
−2(x + 3) = −2(x + 1) − 4.
A. 2
B. 3
C. All real numbers
D. No solution
Answer:
C
Step-by-step explanation:
Any value of x makes the equation true.
An object that is projected straight downward with initial
velocity v feet per second travels a distance s = vt + 16t2,
where t = time in seconds. If Ramón is standing on a
balcony 84 feet above the ground and throws a penny
straight down with an initial velocity of 10 feet per second,
in how many seconds will it reach the ground?
A. 2 seconds
B. 3 seconds
C. 6 seconds
D. 8 seconds
Answer: 2 seconds
Step-by-step explanation:
An object take 2 seconds to reach to the ground. option A is correct.
An object that is projected straight downward with initial velocity v feet pee second.
s = vt + 16t2
s = 84 feet and v = 10
Velocity is ratio of displacement to the time.
We have equation.
s = vt + 16t2
Now, put s = 84 and v = 10
84 = 10t+16t2
8t2+10t-42=0
Taking roots of equation.
We get t = 2 and -21/8
Since time couldn't be negative.
So,
t = 2
Thus, An object take 2 seconds to reach to the ground.
Learn more about Velocity here:
https://brainly.com/question/18084516
#SPJ2
A-55
B-65
C-75
D-90
Please help meee it’s a test
Complete the steps to solve for x.
-0.66x + 0.46x = 5.2
X = 5.2
Answer:
[tex]\huge\boxed{x=-26}[/tex]
Step-by-step explanation:
[tex]-0.66x+0.46x=5.2\qquad|\text{combine like terms}\\\\(-0.66+0.46)x=5.2\\\\-0.2x=5.2\qquad|\text{multiply both sides by (-5)}\\\\(-5)(-0.2x)=(-5)(5.2)\\\\x=-26[/tex]
Answer:
-26
Step-by-step explanation:
The price for a cell phone was reduced from $30 to $18. By what percentage was the cell phone reduced?
Answer choices:
25%
40%
15%
Answer: 40%
Steps: Forty percent of $30 is $18.
Plz mark brainliest:)
Answer:
25%
Step-by-step explanation:
What is the value of -8 + 4.5 – (-1.2
Answer:-2.3
Step-by-step explanation:
-8 + 4.5 = -3.5
-3.5 -(-1.2)= -2.3
Write 0.00034 as a multiple of a power of 10.
Answer:
3.4X10^-4
remove the zeros and add a decimal point after the first number eg.
0.00034 --> 34 --> 3.4
then add a x 10 eg.
3.4x10
then add a power- if the number is larger than 1 count the amount of zeros and add that as your power eg.
3400 -> 34 -> 3.4 -> 3.4x10^2
If the number is lower than one use a negative power eg.
0.00034 -> 34 -> 3.4 -> 3.4x10^-4
(Hope this helps sorry if its to complicated)
Solve the system, by elimination please show all the steps!
-2x+2y+3z=0
-2x-y+z=-3
2x+3y+3z=5
Answer:
x = 1 , y = 1 , z = 0
Step-by-step explanation:
Solve the following system:
{-2 x + 2 y + 3 z = 0 | (equation 1)
-2 x - y + z = -3 | (equation 2)
2 x + 3 y + 3 z = 5 | (equation 3)
Subtract equation 1 from equation 2:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x - 3 y - 2 z = -3 | (equation 2)
2 x + 3 y + 3 z = 5 | (equation 3)
Multiply equation 2 by -1:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+3 y + 2 z = 3 | (equation 2)
2 x + 3 y + 3 z = 5 | (equation 3)
Add equation 1 to equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+3 y + 2 z = 3 | (equation 2)
0 x+5 y + 6 z = 5 | (equation 3)
Swap equation 2 with equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+3 y + 2 z = 3 | (equation 3)
Subtract 3/5 × (equation 2) from equation 3:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+0 y - (8 z)/5 = 0 | (equation 3)
Multiply equation 3 by 5/8:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+0 y - z = 0 | (equation 3)
Multiply equation 3 by -1:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y + 6 z = 5 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Subtract 6 × (equation 3) from equation 2:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+5 y+0 z = 5 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Divide equation 2 by 5:
{-(2 x) + 2 y + 3 z = 0 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Subtract 2 × (equation 2) from equation 1:
{-(2 x) + 0 y+3 z = -2 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Subtract 3 × (equation 3) from equation 1:
{-(2 x)+0 y+0 z = -2 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Divide equation 1 by -2:
{x+0 y+0 z = 1 | (equation 1)
0 x+y+0 z = 1 | (equation 2)
0 x+0 y+z = 0 | (equation 3)
Collect results:
Answer: {x = 1 , y = 1 , z = 0
Answer:
x= 1, y = 1, z= 0
Step-by-step explanation
-2x + 2y + 3z = 0
2x + 3y + 3z = 5
-2x - y + z = -3
2x + 3y + 3z = 5
(solving systems)
5y + 6z = 5
2y + 4z = 2
(rewriting)
z = 0
y = 1
-2x + 2 x 1 + 3 x 0
x=1
HELP PLEASE!!! Show how you got the answer as well!
Answer:
2 ans is 7 2x_4+2x_7=17
Which is the factored form of
x2 - 5x – 14
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale
Answer:
Step-by-step explanation:
(X+2)(x-7)
Which list shows the numbers below in order from least to greatest? −5.9, −234, 5.78, 58%−5.9, −234, 5.78, 58% −234, −5.9, 58%, 5.78−234, −5.9, 58%, 5.78 −5.9, −234, 58%, 5.78−5.9, −234, 58%, 5.78 58%, −234, 5.78, −5.958%, −234, 5.78, −5.9
Graph the linear equation
5x - y = 30 by following these steps:
Step 1: Find the x-intercept. Let y = 0 and solve for x.
=
Answer:
Step-by-step explanation:
5x-(0)=30
add 0 to both sides to cancel
5x=30
divide by 5 on both sides to cancel
x=6
Solve for f: 7a−3d+6f=5
2+y=11 What is the answer?
Answer:The answer has to be 9
(
Step-by-step explanation: Because 2 plus 9 equals 11 and this is an addition problem
Answer:
9
Step-by-step explanation:
To solve subtract 2 from both sides (subtraction property of equality)
2-2+y=11-2, then simplify
y=9
A taxi cab charges $1.45 for the flat fee and $0.55 for each mile. Write an inequality to determine how many miles Ariel can travel if she has $35 to spend.
PLZ NEED HELP :( WILL GIVE BRAINIEST IF RIGHT
A $1.45 + $0.55x ≥ $35
B $1.45 + $0.55x ≤ $35
C $0.55 + $1.45x ≥ $35
D $0.55 + $1.45x ≤ $35
Answer:
B. $1.45 + $0.55 is less than or equal to $35
Step-by-step explanation: Because Ariel has to pay $1.45 when she gets in the taxi then each mile after (x) is $0.55 and she only has $35 therefore it is less than or equal to.
if b=49 degrees 13' and b=10 find a
Answer:
b. 8.6
Step-by-step explanation:
Given:
B = 49° 13'
b = 10
Required:
Find a
SOLUTION:
The reference angle given = 49° 13'. Converted to degrees, we have 49.2167°.
b = Opposite side to the reference angle B = 10
a = adjacent side to angle B = ?
To find a, apply the following trigonometric ratios formula:
[tex] tan(B) = \frac{opp.}{adj.} [/tex]
[tex] tan(49.2167) = \frac{10}{a} [/tex]
Multiply both sides by a
[tex] tan(49.2167)*a = \frac{10}{a}*a [/tex]
[tex] tan(49.2167)*a = 10 [/tex]
Divide both sides by tan(49.2167)
[tex] \frac{tan(49.2167)*a}{tan(49.2167)} = \frac{10}{tan(49.2167)} [/tex]
[tex] a = \frac{10}{tan(49.2167)} [/tex]
[tex] a = 8.6 [/tex] (nearest tenth)
Answer:
B.
Step-by-step explanation:
8.6
Joe and Carmen are partners in a business. Joe makes $2.00 profit for every $5.00 profit that Carmen makes. If Carmen makes $20 on the first item they sell, how much profit will Joe make?