Answer:
A. y = –5x – 27
Step-by-step explanation:
You would need a new y-intercept in order for this to be parallel. So you use the points given and the slope and fill it in. 3=-5(-6)+b. 3=30+b. Then subtract 30 from both sides. -27=b. Then just put it all back into slope intercept form. y=-5x-27.
y = –5x + 3
slope of the given line by comparing with y=mx+b is
m= - 5
Concept is that the slope of parallel lines are equal so we need a line with slope same as m=-5
and passes through point (-6,3)
Equation using the point slope equation
y-3 = -5 (x-(-6))
y-3=-5(x+6)
y-3= -5x-30
y= -5x -27
A
a line passes through the point (-6,6) and has a slope of 4/3. write an equation in point-slope form for this line.
Answer: m=4x+3-6
Step-by-step explanation: This is most likely wrong but it's the best I have, hope it helps!
Hello there! :)
Point-Slope Form:
y-y1=m(x-x1)
y1=6
x1=-6
m=4/3
Plug in the values:
y-6=4/3(x-(-6)
y-6=4/3(x+6)
Therefore, our final answer is: [tex]y-6=\frac{4}{3}(x+6)[/tex]Hope this helps you!
~Just a felicitous girlie
#HaveAnAwesomeDay
[tex]SilentNature[/tex] here to help
What is the area of a rectangle with vertices at (0, −4), (−1, −3) , (2, 0), and (3, −1)? Enter your answer in the box. units²
Answer:
12
Step-by-step explanation:
Answer:
Area of the rectangle is [tex]6u^{2}[/tex]
How to find area of rectangle if the vertices are given:
Let the vertices be or the given vertices:
A [0,-4]
B [-1,-3]
C [2,0]
D [3,-1]
Area of rectangle is twice the area of triangle, i.e. if the area of rectangle is ABCD and area of triangle is ABC.
Area of triangle is given by determinant:
Area of triangle = 1/2 [x1, y1]
1/2 [x2, y2]
1/2 [x3, y3]
1/2 [x4,y4]
Putting all the values in this format we will get :
Area of triangle = 1/2 [0×-4]
[-1×-3]
[2×0]
Because we have assume 0 as x1 and -4 as y2
-1 as x2 and -3 as y2
2 as x3 and 0 as y3
By solving that equation we will get:
1/2[ −4 0 1]
[−3,1,1]
[0,−2,1]
=1/2(−4⋅(1⋅1+1⋅2)−0+1⋅(6−0))
=1/2|-6|= [tex]3u^{2}[/tex]
= -3=[tex]3u^{2}[/tex]
= [tex]6u^{2}[/tex]
In a two-dimensional plane, a triangle's area is the space it encloses. Known for having three sides and three vertices, a triangle is a closed shape. The sum of the spaces occupied by a triangle's three sides is known as its area. Half of the product of a triangle's base and height is the usual formula for calculating its area.The area that is included within the perimeter of a flat object or figure is generally considered to be the definition of the word "area." The square units used for measuring are square meters as the standard unit (m2). There are already established formulas for calculating the area of squares, rectangles, circles, triangles, etc.
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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting
50 large boxes and 70 small boxes. If the truck is carrying a total of 4100 pounds in boxes, how much does each type of box weigh?
Answers:
one small box = 30 pounds
one large box = 40 pounds
==========================================================
Work Shown:
S = weight of one small boxL = weight of one large boxS+L = 70 since the two boxes combine to 70 pounds.
70S = weight of 70 small boxes
50L = weight of 50 large boxes
70S+50L = weight of 70 small and 50 large
70S+50L = 4100
The system of equations is
[tex]\begin{cases}S+L = 70\\70S+50L = 4100\end{cases}[/tex]
There are a few ways to solve this system. I'll use substitution.
I'm going to isolate L in the first equation like so
S+L = 70
L = 70-S
Which I'll then plug into the other equation to solve for S
70S+50L = 4100
70S+50(70-S) = 4100
70S+3500-50S = 4100
20S+3500 = 4100
20S = 4100-3500
20S = 600
S = 600/20
S = 30
Each small box is 30 pounds.
Use this value of S to find L
L = 70-S
L = 70-30
L = 40
Each large box is 40 pounds.
Like we expect, each large box weighs more compared to any given small box.
------------------
Check:
S+L = 30+40 = 70 verifies the first equation70S+50L = 70*30+50*40 = 4100 verifies the second equationBoth equations are true for the ordered pair (S,L) = (30,40). Therefore, the answers have been confirmed.
i forgot perimeter and area send help please
Answer:
Area refers to the space occupied by a shape or an object or a surface. Perimeter refers to the measure of the length of the outline or boundary of a shape, an object or a surface. Area is measured in square units.
Answer:
Perimeter :the continuous line forming the boundary of a closed geometrical figure.
Area is the quantity that expresses the extent of a two-dimensional region, shape, or planar lamina, in the plane
One angle of an isosceles triangle measures 140°. Which other angles could be in that isosceles triangle? 80° 20° 50° 40° plzzzzzzzzz help me
Answer:
20°
Step-by-step explanation:
If it's an isosceles triangle, the two remaining angles should be equal. (Angles opposite to equal sides are equal)
∴ one remaining angle = (180° - 140°)/2
= 40° / 2
= 20°
x/-7 = -3 (equation)
Answer:
x=21
Step-by-step explanation:
x/-7=3
[tex]\frac{x}{-7}[/tex](-7) = -3(-7)
x=21
Answer:
21
Step-by-step explanation:
x/-7 = -3
x = -3 . -7
x = 21
if f(x)=2x-3 find f(7)
Answer:
f(7) = 11
Step-by-step explanation:
Given the linear function, f(x) = 2x - 3:
In order to find the value of f(7), simply substitute the value of the input, x = 7 into the function:
f(x) = 2x - 3
f(7) = 2(7) - 3
f(7) = 14 - 3
f(7) = 11
Therefore, the value of f(x) when x = 7 is:
f(7) = 11.How do you isolate the variable in an inequality?
H
A
Use inverse operations.
00
B
Reverse the inequality sign.
C
Follow the order of operations.
D
Change the inequality sign to an equal sign.
Answer:
A,
use inverse operations
Jason has a starting salary of 9.25 per hour .Jason’s manager informs him that if he meets his self quota each month he can expect annual pay rate increase of 0.90 write an equation representing the relationship between the years on the job y and pay per hour p
Answer:
Assuming the "pay increase" is $/hr: p = 9.25 + 0.90y
Step-by-step explanation:
p = 9.25 + 0.90y : The 9.25 is for year (y)=0[the starting hourly wage]. 0.90 is added each year, starting with y=1. Each addirtional year add one more 0.90 to his starting wage.
how do I solve this? 4-0,9+(-0,11)-(-1,3)
Answer:
Hope it will help a lot ask for more info
ran3/5 mile in 3/4 hour how many miles in one hour
Answer is: you tell me
Step-by-step explanation: haaaaaaaaaaaaaaaaa
10. Write an equation of the line with a slope of -1
that passes through the point (3,-1).
How do I solve this?
Answer:
y = − x
The equation is given by
y = m x + n since m = − 1 we get y = − x + n
the line passes Point P ( 0 ; 0 ) so we get n = 0
Step-by-step explanation:
Divide 320 into 8 equal groups
Answer:
320 divided by 8 is 40. 40 times 8 is 320, so it works backwards.
When dividing 320 into 8 equal groups, each group would contain 40.
We have to divide 320 into 8 equal groups.
Performing the division as
8 | 320 | 40
320
-_______
0
So, 320 ÷ 8 = 40
Therefore, when dividing 320 into 8 equal groups, each group would contain 40.
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PLEASE HELP ME OUT!!
Answer:
Hello!
Judging by the question you have provided I have come up with the correct solution:
y=25x+175
Step-by-step explanation:
The way I came up with the solution is by understanding how to write the correct equation using the correct variables in the correct places.
In the equation y=mx+b, the variable "b" will always be an independent variable.
The independent variable of Candace equation is "175 gallons". This is because this amount does not change throughout the entire equation.
Next, the variable "m" will always be a dependent variable.
The dependent variable of the Candace equation is "25 gallons". This is because this variable is effected by "x amount of hours".
So when you input these given variables in the correct places you get:
y=25x+175
3x + 2y= 16
2x - 3y= 2
Answer:
x=4 and y=2
Step-by-step explanation:
Solve this equation for the indicated variable.5b + 12c=9 for b
Answer:
b = (9 - 12c)/5 OR b = 9/5 - 12c/5
Step-by-step explanation:
5b + 12c = 9
Subtract 12c from both sides.
5b = 9 - 12c
Divide both sides by 5.
b = (9 - 12c)/5.
Which of the following equations has the same solutions as the equation 3x+2y=-12? Check all that apply.
How many terms are in the expression 6w- 3x+9y- 8z+ 12
Answer:
5
Step-by-step explanation:
Definition of term:
A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.
6w- 3x+9y- 8z+ 12
\/
6w - 3x +9y - 8z + 12
Hope this helps, have a nice day! :D
The student population of a school
consists of 300 girls and 500 boys. If 53% of the girls play a sport, and
39% of the boys play a sport, who plays more sports?
Answer:
The boys play more sports.
Step-by-step explanation:
convert percents to decimals (division of 100)
0.53 x 300 = 159 girls
0.39 x 500 = 195 boys
if the null hypothesis is rejected at a 1% significance level, then _____________.
Answer:
If the null hypothesis is rejected at a 1% significance level, then Multiple Choice the alternative hypothesis will be rejected at a 5% significance level
Step-by-step explanation:
The null hypothesis will not be rejected at a 5% significance level the alternative hypothesis will not be rejected at a 5% significance level O the null hypothesis will be rejected at a 5% significance level
In the given figure, m ǁ n, then the value of y is:
(a) 70°
(b) 35°
(c) 60°
(d) 40°
Answer:
(b) 35°Step-by-step explanation:
x + 60° = 180° ( interior angles )
[tex]x + {60}^{o} = {180}^{o} \\ x = {180}^{o} - {60}^{o} \\ x = {120}^{o} \\ [/tex]
x = z ( opposite angles )
z = 120°
y + 25° + 120° = 180°
(The sum of all interior angles of any triangle is equal to 180°)
[tex]y + {25}^{o} + {120}^{o} = {180}^{o} \\ y + {145}^{o} = {180}^{o} \\ y = {180}^{o} - {145}^{o} \\ y = {35}^{o} \\ [/tex]
The value of y in the given figure is (b) 35°
Since m||n, hence:
a + 60 = 180 (sum of consecutive interior angles formed by two parallel lines are supplementary)
a + 60 = 180
a = 120°
a = b (vertical opposite angles are congruent to each other)
120 = b
b = 120°
y + 25 + b = 180 (sum of angles in a triangle)
y + 25 + 120 = 180
y + 145 = 180
y = 35°
Hence the value of y is (b) 35°
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I need help with the graph part please.
Answer:
sell 48 tickets at the door.
Step-by-step explanation:
5x+4(40)≥400
1. Distribution; 5x+160≥400
2. Subtract 160 from both sides; 5x+160-160≥400-160
3. you are left with; 5x≥240
4. divide 5 from both sides; 5x/5≥240/5
5. you are left with; x ≥ 48
Meaning; they need to sell 48 or more tickets at the door to reach their goal of $400.
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You used 5 cups of flour to bake 80 cookies. How many cups of flour do you need if you bake 144 cookies?
Answer:
9 cups
Step-by-step explanation:
We can write a ratio to solve
5 cups x cups
------------ = ----------------
80 cookies 144 cookies
Using cross products
5 * 144 = 80x
720 = 80x
Divide by 80
720/80 = 80x/80
9=x
Answer:
7 1/5 cups of flour to mae 144 cookies
Step-by-step explanation:
80/5 = 20 cookies per cup of flour
so 20x7 = 140 and then you still need four more so take the four and another cup of flour and divide the 20 by 4 then you get 5 thus you 7 and 1/5ths cups
HELP PLEASE IM BEING TIMED:
what is the value of the 5 be if it moved one place to the right in 256.12?
HELP D:
Answer:
well instead of being the value of 50 it would be the value of 5.
Step-by-step explanation:
It's being moved to the ones place
Answer:
it would be 5, if it moves to the right it takes the place of the 6
What is the surface area of a cuboid?
As the cuboid has six rectangular faces, the total surface area of the cuboid is calculated as follows: Assume that, l, w, h be the length, width, and height of the cuboid respectively. Therefore, the total surface area of the cuboid is 2 (lh + lw+ hw) square units.
154= -4(8 + 6x) + 24x
What is the inverse of the function f(x)=-4x+2
Answer:
The inverse of f is [tex]f^{-1}[/tex] = (x -2)/4
Step-by-step explanation:
To find the inverse of f(x) = 4x + 2 , interchange the variables and solve for y.
Rewrite f(x) = 4x + 2 as x = 4y + 2 then solve for y
x -2 = 4y
(x - 2)/4 = y
plz help answer question
Answer:
the awnser is 14
Step-by-step explanation:
find the value of X in the triangle shown below
Answer:
102
Step-by-step explanation
39'+39'=78'
180-78=102
2.draw the following lines and then write an equation for each. a.slope is 0, y-intercept is 5. b. slope is 2, y-intercept is -1. c. slope is -2, y-intercept is 1.
Answer:
. bd s solicitarlo
Step-by-step explanation:
.
supuestamente
