Which equation best represents the line?
Oy = 3x + 3
Oy=-x-8
O y = -x + 3
2
x+
Oy = 3x +
2
Answers
Answer:
Y=(1/2)x + 3
Step-by-step explanation:
The equation of the line is y = (1/2)x + 3.
We have,
The equation of a line is written as:
y = mx + c
Where m is the slope and c is the y-intercept.
Now,
From the line,
We have the following coordinates:
(2, 4) and (4, 5)
Now,
Slope.
m = (5 - 4) / (4 - 2) = 1/2
And,
(2, 4) = (x, y)
Substituting.
y = mx + c
4 = (1/2) x 2 + c
4 = 1 + c
c = 4 - 1
c = 3
Now,
y = (1/2)x + 3
Thus,
The equation of the line is y = (1/2)x + 3.
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Related Questions
9: The perimeter of a rectangle is 46 m. The width of the rectangle is 2 more than half the length. Find the length and the width of the rectangle.
Answers
Answer:
our width is 9 and our length is 14
Step-by-step explanation:
In a certain Algebra 2 class of 21 students, 6 of them play basketball and 10 of them play baseball. There are 7 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answers
Answer: look up alaskan pipeline
Step-by-step explanation:
solving systems equations: substitution
y=6x+5
y=4x+5
Answers
2x + 5 = 5
2x = 0, x = 0
Y = 6(0) + 5, y = 5
Solution: x = 0, y = 5
Answer:
y=6x+5 →equation 1
y=4x+5 → equation 2
you can either substitute equation 1 in 2 or equation 2 in 1
substituting equation 1 in 2,
y = 4x + 5
6x + 5 = 4x + 5
6x - 4x = 5 - 5
2x = 0
x = 0/2
x = 0
substituting x = 0 in equation 1, (to get y)
y = 6x + 5
y = 6(0) + 5
y = 0 + 5
y = 5
hope it helps you!!
PLZZZ HELP DUE IN 5mins
Answers
Answer:
y=-6x+360
Step-by-step explanation:
The y intercept, b, is easy; its already listed as 360.
The slope we find by using some points:
300-360
10-0
=
-60
10
=
m=-6
y=mx+b
y=-6x+360
A(x) = 2 (3x - 2)(x - 5)
Answers
Answer:
Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2Quadratic polynomial can be factored using the transformation ax
2
+bx+c=a(x−x
1
)(x−x
2
), where x
1
and x
2
are the solutions of the quadratic equation ax
2
+bx+c=0.
−x
2
−3x+5=0
All equations of the form ax
2
+bx+c=0 can be solved using the quadratic formula:
2a
−b±
b
2
−4ac
. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
x=
2(−1)
−(−3)±
(−3)
2
−4(−1)×5
Square −3.
x=
2(−1)
−(−3)±
9−4(−1)×5
Multiply −4 times −1.
x=
2(−1)
−(−3)±
9+4×5
Multiply 4 times 5.
x=
2(−1)
−(−3)±
9+20
Add 9 to 20.
x=
2(−1)
−(−3)±
29
The opposite of −3 is 3.
x=
2(−1)
3±
29
Multiply 2 times −1.
x=
−2
3±
29
Now solve the equation x=
−2
3±
29
when ± is plus. Add 3 to
29
.
x=
−2
29
+3
Divide 3+
29
by −2.
x=
2
−
29
−3
Now solve the equation x=
−2
3±
29
when ± is minus. Subtract
29
from 3.
x=
−2
3−
29
Divide 3−
29
by −2.
x=
2
29
−3
Factor the original expression using ax
2
+bx+c=a(x−x
1
)(x−x
2
). Substitute
2
−3−
29
for x
1
and
2
−3+
29
for x
2
.
−x
2
−3x+5=−(x−
2
−
29
−3
)(x−
2
29
−3
)
EVALUATE
5−3x−x
2
Step-by-step explanation:
In a painting, The Great Pyramid of Giza is 45 centimeters tall.
If the pyramid is actually 146.5 meters tall, find the scale.
Answers
Answer:
The scale is: 1 cm = 3.26 meter
Step-by-step explanation:
Given
Height of Pyramid in Painting = [tex]H_p = 45 cm[/tex]
Actual Height of Pyramid = [tex]H_a = 146.5m[/tex]
In order to find the scale, we can find the ratio between actual height and height in painting.
The ratio can be found by dividing the actual height by height in painting
[tex]Scale = \frac{H_a}{H_p}\\= \frac{146.5}{45}\\=3.25555 m/cm[/tex]
Rounding off to nearest hundredth
= 3.26
This means that the scale is:
1 cm = 3.26 meter
LLEASE HLEP HELP PLEASE HELP
Answers
Answer:
V= 301.44
Step-by-step explanation:
the formula for a cone is 1/3 Bxh
B= area of base
h= height
SOMEONE PLEASE HELP ME WITH THIS I NEED IT!!!
Answers
Answer:
to be entirely honest i do not know
Step-by-step explanation:
If y by itself what does that means?
Answers
[tex]here \: y \: by \: itself \: means \\ \: y \: stands \: alone \: with \: \\ nothing \: nearby \: it .\\ \\ hope \: it \: helps..[/tex]
Simplify 36*3.
O A. 35
B. 36
O C. 37
O D. 96
HELP ME
Answers
Answer:
12/1
Step-by-step explanation:
hope this helped if not sorry
MS. Candos has 90 invitations to hand out. she will hand out 42 of them the rest will be handed out by 6 students how many got handed out an equal number if invitations
Answers
48/6 = 8
The 6 student each handed out 8 invitation
Here are graphs of two functions f and g the function h is defined by h(x)=f(x)-g(x)
1.for which values of x is h(x)=0? explain how you know
2.For which values of x is h(x) 0
3.sketch a graph of h
I am not good at math and don't feel like taking it again pleas help ;-;
Answers
i did this last year lol ;-;
The function h(x) is h(x)=5/4 x² - 5/2 x.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.
Here, vertex is (h, k)=(0, 0) and coordinate point is (x, y)=(-2, 5)
So, 5=a(-2-0)²+0
5=4a
a=5/4
Substitute, a=5/4 and (h, k)=(0, 0) in vertex form we get
f(x)= 5/4 x²
Equation of straight line with coordinates (-2, 5) and (0, 0) is
Slope m=5/2
Substitute, m=5/2 and (x, y)=(0, 0) in y=mx+c we get
0=5/2(0)+c
c=0
Substitute, m=5/2 and c=0 in y=mx+c we get
y=5/2 x
So, g(x)=5/2 x
Now, h(x)=f(x)-g(x)
h(x)=5/4 x² - 5/2 x
h(x)=5/2 x(1/2 x-1)
1) h(x)=0
5/2 x(1/2 x-1) =0
1/2 x-1=0
1/2 x=1
x=2
2) For x=2, h(x) is 0
3) Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Therefore, the function h(x) is h(x)=5/4 x² - 5/2 x.
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How many packages of gum can you buy with $18 if one package cost $2?
Which equation best represents this word problem?
Group of answer choices
18 x 2 = p
p - 18 = 2
p + 2 = 18
2p = 18
Answers
Answer:
2p = 18
Step-by-step explanation:
Dillon pays x dollars to get a haircut. He gives the stylist a
25% tip. The expression representing his total cost is
x + 0.25x
Which expression is equivalent and why?
A. 1.025x because adding 25% to the cost of the haircut is the same
as multiplying the cost by 1.025.
B. 1.25x because adding 25% to the cost of the haircut is the same
as multiplying the cost by 1.25.
C. 1.25x because adding $25 to the haircut is the same as
multiplying the cost by 1.25.
D. x(0.25) because the cost of the haircut can be factored out.
Answers
Answer:
B
Step-by-step explanation:
the percentage of money to be paid is 125% which is equivalent to 1.25 in fraction
The equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that, Dillon pays x dollars to get a haircut. He gives the stylist a 25% tip. The expression representing his total cost is,x + 0.25x
Expressions that function identically while having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then they both have the same result when the same value of the variable is entered.
=x + 0.25x
=1.25x
Thus, the equivalent expression is" 1.25x because adding 25% to the cost of the haircut is the same as multiplying the cost by 1.25. Option B is correct.
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PLS HELP ME 5.7 + (3z + 0.3)
Answers
Answer:
3z + 6
Step-by-step explanation:
5.7 + (3z + 0.3) =
= 5.7 + 3z + 0.3
= 3z + 6
Help i will give brainliest to the first one to have a REAL answer
Answers
Answer:
y = -32
Step-by-step explanation:
-6 (y+15) = -3y + 6
-6y - 90 = -3y + 6
-3y - 90 = 6 + 90
= -3 = 96
y = -32
Answer:
Y=28
Step-by-step explanation:
Distribute-6(y+15) > -6y-90
-6y-90=-3y+6 add the -3y to the -6y and the -90 to the 6
-3y=-84
Then just divide -84 by -3
please show work
8) 3n+1 +8n2 – 8n – 7
9. given the function: f(x) =3x-7, find f(-2)
Answers
Answer:
D and A
Step-by-step explanation:
8. 1+8n^2-5n-7
8n^2-5n-6
9. -6-7
-13
Identify the points after a 90 degrees clockwise rotation: A (5, -9) B (3, 1) C(-10, -10)
Answers
A (-5, -9)
B (3, -1)
C (10, 10)
Please help me on number (15) Will mark brainliest
Answers
Answer:
that will be 12
Step-by-step explanation:
What is the value of g?
−5+7g=3g+9
A.) g=−1
B.) g = 1
C.) g=125
D.) g=312
Answers
Answer:
The answer is D
Step-by-step explanation:
Give the other person brainlest
Answer:
d
Step-by-step explanation:
i took the quiz
If △ABC∼△DEC, find the values of x and y.
(giving brainliest to the correct answer)
Answers
Answer:
Where are the answer choice?
Triangle JKL is fromed by plotting three points. What is the leanth of sides JK?
j(1 , 5) k(1, 9)
answers > 6 3 5 2
Answers
[tex]\LARGE\leadsto\sf JK=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {(1-1)^2+(9-5)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {(0)^2+(4)^2}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {0+16}[/tex]
[tex]\LARGE\leadsto\sf \sqrt {16}[/tex]
[tex]\LARGE\leadsto\sf JK=4units [/tex]
is 9.22222 a irrational number
Answers
Answer:
No
Step-by-step explanation:
9.222222 is not a irrational number.
Hope this helps plz hit the crown :D
Answer:
yes it is
Step-by-step explanation:
1/4 of 36 bottles of water =
Answers
Answer:
9
Step-by-step explanation:
1/4x36=36/4=9
a que altura de cada molde quedara el litro de cera liquida?
Answers
Answer:
litros. TODO Cm. Calcula el volumen de cada figura compuesta. Redondea al ... Encuentra la altura h del recipiente a la décima más cercana. ... cubierto, haciendo que el nivel del agua suba 2 pulg.
Help me out plssss!!!!
Answers
Answer: m=6.2t, 148.8 miles
Step-by-step explanation:
to figure out the equation we do 93/15=6.2 and we make it into a equation which is m=6.2t. since we know the butterfly travels 6.2 per hour we do 6.2 x 24 = 148.8
sorry if it's wrong
is this proportional relationship? please help!!
Answers
Answer:
yes, the slope is the same throughout the table
Step-by-step explanation:
Answer:
Yes, the graph shown is a proportional relationship.
Step-by-step explanation:
If you divide the distance (6) by the time (1) you get the same thing (6). Repeat for all the terms in the graphs. Since 6/1 is 6, 12/2 is 6, 18/3 is 6 and 24/4 is 6, The relationship is proportional.
Write the equation of the line with the given point and slope: (−5, −3) slope=−35
Answers
Answer:
Slope-intercept form: y = -35x - 178
Point slope form: y + 3 = -35 x (x + 5)
Step-by-step explanation:
helppp
algebraaaaa what is sum of polynomials
Answers
Answer:
3x^2+6x+4
Step-by-step explanation:
6x+7+x^2+2x^2-3
3x^2+(7-3)+6x
3x^2+6x+4
find the missing angle
Answers
I think.