Step-by-step explanation:
1. Pick two points on the line and use them to find the slope.
2. Then, find the coordinates of the y-intercept.
3. The y- coordinate is the value of b in the equation.
Answer:
Step-by-step explanation:
First find the slope of the line.
If the 2 points are (x1, y1) and (x2, y2) then the slope is (y2-y1)/(x2-x1).
Then we can use the point-slope form of the equation of the line:
y - y1 = m(x - x1) where m = the slope and by substituting the point (x1, y1) we can convert the equation to slope intercept form ( which is y = mx + b).
Example:
Find slope-intercept equation for the line joining the points (1, 0) and (3, 4):
The slope = (4 - 0)/(3 - 1) = 4/2 = 2.
Now we plug in the slope m and the point (3, 4) into y - y1 = m(x - x1):
y - 4 = 2(x - 3) (Note we can use (1, 0) OR (3, 4) as they are both on line).
y - 4 = 2x - 6
y = 2x - 6 + 4
y = 2x - 2 which is slope-intercept form.
The sum of 6 times a number and 8 times another number is 12. The difference of those numbers is 9. What are the two numbers
Answer:
(x,y): (6 , -3) or (-30/7 , 33/7)
Step-by-step explanation:
6x + 8y = 12
x = y + 9 or y = x+ 9
if x = y+9
6*(y+9) + 8y = 12
14y = -42
y = -3 and x = 6
if y = x+9
6x + 8*(x+9) = 12
14x = -60
x = -30/7 and y = 33/7
Find the volume of the prism. Round your answer to the nearest tenth.
for brainlist
Answer:
d. V = 668.2 ft³
Step-by-step explanation:
[tex]V = \frac{1}{2}bhl\\V = \frac{1}{2}(8.6)(8.4)(18.5)\\V = 668.2ft^{3}[/tex]
Answer:
[tex]\boxed {\boxed {\sf D. \ V \approx 668.2 \ ft^3}}[/tex]
Step-by-step explanation:
The volume of a triangular prism is found using this formula:
[tex]V=\frac{1}{2} bhl[/tex]
For this prism, the base is 8.6 feet, the height is 8.4 feet, and the length is 18.5 feet.
[tex]b= 8.6 \ ft \\h= 8.4 \ ft \\l= 18.5 \ ft[/tex]
Substitute the values into the formula.
[tex]V= \frac{1}{2} (8.6 \ ft) (8.4 \ ft) ( 18.5 \ ft)[/tex]
Multiply the first two numbers in parentheses.
[tex]V= \frac{1}{2} (72.24 \ ft^2) ( 18.5 \ ft)[/tex]
Multiply again.
[tex]V= \frac{ 1}{2} (1336.44 \ ft^3)[/tex]
Multiply by 1/2 or divide by 2.
[tex]V= 668.22 \ ft^3[/tex]
Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 2 in the tenth place.
[tex]V \approx 668.2 \ ft^3[/tex]
The volume is about 668.2 cubic feet.
The ratio x:10 is equilvalent to 9:6. What is the value of x
Answer: x=20/3=6.67
Step-by-step explanation:
To solve proportions, the most useful way is to use [cross multiplication], where we not multiply horizontally but as diagonally.
-----------------------------------------------------------------------------
Given
x:10=9:6
Cross Multiply
9·x=6·10
9x=60
Divide 9 on both sides
9x/9=60/9
x=20/3=6.67
Hope this helps!! :)
Please let me know if you have any questions
Hey everyone! A little help will be needed/appreciated
Answer:
2 and 1/4
Step-by-step explanation:
-5 1/4 - (-7 1/2)=
Rewrite as
-5.25 + 7.5 =2.25
Answer:
The answer is 2 1/4 because two negatives make a positive
Step-by-step explanation:
-5 1/4-(-7 1/2) or
-5.25+ 7.5=
2.25
rewrite as a fraction= 2 1/4
Hope this helps!
The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represent the new area, a, of the rectangle.
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x.
The length of a rectangle is 3 times as big as the width. Length = 3x
New width = x + 4
New length = 3x + 4
The new area will be:
a = (3x + 4)(x + 4)
a = 3x² + 12x + 4x + 16
a = 3x² + 16x + 16
Bob and Chris share money in the ratio 2:3
Bob receives £8
Work out how much Chris receives
Step-by-step explanation:
total ratio is 5
first find the total amount
bob's ratio is 2/5
so 2/5 ×total amount=8 pounds
0.4 ×total amount=8 pounds
total amount=8/0.4=20 pounds
so chris receives: 20-8=12 pounds
The best answer gets brainiest please help!
Instructions: Convert this problem into y=mx+b form
Question: 3x+y=0
Answer:
[tex]y=3x[/tex]
Step-by-step explanation:
[tex]Ax+By+C[/tex] ⇒ [tex]y=mx+b[/tex]
[tex]3x+y=0[/tex]
Since there are no coefficients on the [tex]y[/tex], you can convert the equation in one step.
Subtract [tex]3x[/tex] from both sides
[tex]y=3x+0[/tex] [tex]or[/tex] [tex]y=3x[/tex]
plz mark me brainliest. :)
Peggy takes 2.5 hours to deliver 328 magazines. What is the rate per hour she is delivering the magazines
Answer: 131 magazines per hour
Step-by-step explanation:
Peggy delivered 328 magazines in 2.5 hours.
To find out the rate at which she delivered these magazines, divide the number of magazines by the time taken to deliver them:
= Magazines / Time in hours
= 328 / 2.5
= 131 magazines per hour
write a polynomial function in standard form with the given zeros
1. -1, 3, 4
2. -3, 0, 0, 5
3. -2 multiplicity 3
4. (x+3)^2(x+1)
Answer:
Step-by-step explanation:
(x+1)(x-3)(x-4) = (x+1)(x²-7x+12) = x³-6x²+5x+12
:::::
(x+3)(x-0)(x-0)(x-5) = (x+3)(x²)(x-5) = (x²-2x-15)x² = x⁴-2x³-15x²
:::::
(x+2)³ = x³ + 3·x²·2 + 3·x·2² + 2³ = x³ + 6x² + 12x + 8
:::::
(x+3)²(x+1) = (x²+6x+9)(x+1) = x³ + 7x² + 15x + 9
* Indique 4 ejemplos
en los cuales aparezca
un nivel de medicion diferente
Answer:
1. En las competencias de atletismo se miden los kilómetros que se van a correr.
2.Al comprar tela en un almacén te dicen cuántos metros quieres.
3.En la obra los arquitectos y diseñadores miden las distancias que hay entre paredes para poder saber cuánta pintura se les va en la decoración.
4.Al cambiar una puerta tenemos que medir la altura y el ancho del hueco donde va a irinstalada.
If O is the center of the circle find x.
Answer:
x = 60°
Step-by-step explanation:
Angles on the circle formed by the same arc are congruent, then
∠ BDC = ∠ BAC = 50°
x = 180° - (70 + 50)° ← sum of angles in triangle = 180°
x = 180° - 120° = 60°
Find each slope and y-intercept. Then graph each equation.
Answer:
1/2= slope
-3= y-intercept
Step-by-step explanation:
According to the formula, y=mx-b:
b= y-interceptm= slopeCarmella simplified the following rational expression. (2x ^ 2 + 7x + 3)/(4x + 12) = ((2x + 1)(x + 3))/(4(x + 3)) = ((2x + 1)(x + 3))/(4(x + 3)) = (2x + 1)/4 After simplifying the expression , she stated that there are no restrictions on x since the denominator of her answer is a constant and cannot possibly equal Did Carmella make any mistakes in her problem ? If explain and correct her mistake ( s ) .
Answer: No, she is right
Step-by-step explanation:
[tex]\frac{2x^2+7x+3}{4x+12}[/tex]
Factor the trinomial, what two numbers multiply to equal 6 but add to equal 7. That is 6 and 1.
[tex]\frac{2x(x+3)+(x+3)}{4(x+3)}[/tex]
The (x+3) will cancel
[tex]\frac{2x+1}{4}[/tex]
PLEASE HURRY !Question 7(Multiple Choice Worth 5 points)
(01.04 LC)
Two samples of water, 10 grams and 50 grams, are in separate cups. Which of the following properties is different for the two?
O Boiling point
O Color
O Density
Volume
Answer:
D. volume
Step-by-step explanation:
I need help with this
The equation y=models the savings.
Money The graph shows a proportional relationship
between a person's total savings in dollars and the
number of weeks they have been saving. Write an
equation that models the savings.
Money
590-
472-
354-
Total Savings (5)
236-
118-
0-
0
8
10
Number of weeks
Answer:
Step-by-step explanation:
450
guys plz help im not good at this
Answer:
Radius is 3.5 cm
Diameter is 7 cm
Step-by-step explanation:
Radius is half the diameter
They give you the diameter at 7 cm
Then you have to half that to get 3.5 cm as the radius
Answer:
The answers are the diameter is 7 because whatever the line across is it's the diameter and the radios is half of what the diameter is so whatever is half of 7 is your radios.
Step-by-step explanation:
Diameter: 7
Radios: 3.5 or 3 1/2
Plz help!!
If... g(x)=2(x-1)
When does g(x)=12
The ground temperature at airport is 12 degrees. The temperature decreases by 5.2 degrees for every mile above ground. What would be the temperature outside of plane 3 miles above ground
Answer:
-3.6 degrees
Step-by-step explanation:
Since we need to find the temperature that is 3 miles above ground we first need to multiply the distance above ground by the decrease in temperature per mile.
3 * 5.2 = 15.6
Now that we have the total decrease in temperature at that altitude we subtract it from the temperature at ground level. This gives us the final temperature at 3 miles above the ground.
12 - 15.6 = -3.6
Finally, we can see that the temperature is -3.6 degrees
A circle has its centre at the origin and has a radius of 5.
What is its equation?
Answer:
x²+y²=25
Step-by-step explanation:
(x-h)²+(y-k)²=r²
(x-0)²+(y-0)²=5
x²+y²=25
Write the expanded form of the expression
8(6x - 4)
Answer:
48x - 32
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
8(6x - 4)
Step 2: Expand
Distribute 8: 8(6x) + 8(-4)Multiply: 48x - 32A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 feet cubed.
A sphere with height h and radius r. A cylinder with height h and radius r.
Which equation gives the volume of the sphere?
V = four-thirds (11) pi
V = two-thirds (11) pi
V = four-thirds (11)
V = two-thirds (11)
9514 1404 393
Answer:
V = (2/3)(11)
Step-by-step explanation:
The given cylinder has a height of 2r, so its volume is ...
V = πr²(2r) = 2πr³
The volume of a sphere is given by ...
V = 4/3πr³
Then the ratio of the volume of the sphere to the volume of the cylinder is ...
(4/3πr³)/(2πr³) = (4/3)/2 = 2/3
So, the volume of the sphere is 2/3 times the volume of the cylinder:
V = (2/3)(11)
Answer:
answer is d
Step-by-step explanation:
hope this helps
Róndelo draws the semicircle shown at the right what is the area of the semicircle
Which one..? need help. :)
Answer:
option d is the answer..................
Answer:
4
Step-by-step explanation:
the answer is the last one which is the 4 one
PLEASE HELP!!!! The following table shows the number of students in a class who like movies and/or music: Like Movies Do Not Like Movies Total Like Music 36 ? 56 Do Not Like Music 15 4 19 Total 51 24 75 What is the missing number in the table? (1 point) 12 20 32 52
Answer:20
Step-by-step explanation:
I got it right on my test
The image shown is an object formed from a cylinder and spherical hemisphere. The radius of the base is 7 cm and the height of the cylinder is 10 cm
(π = 22/7). The volume of the object is ....
A. 2258,67 cm3
B. 2618,33 cm3
C. 2926,67 cm3
D. 2977,33 cm3
Answer:
Volume = 2,258.67 cm³
Step-by-step explanation:
Volume of the object = volume of hemisphere + volume of cylinder
= ⅔πr³ +πr²h
Where,
π = 22/7
r = 7 cm
h = 10 cm
Volume = (⅔*22/7*7³) + (22/7*7²*10)
Volume = 2,258.67 cm³
Plz help due tomorrow
Answer:
$2.50+$1.25m
Step-by-step explanation:
hope this helps
To determine what effect the salespeople had on purchases, a department store polled 700 shoppers as to whether or not they had made a purchase and whether or not they were pleased with the service. Of those who had made a purchase, 130 were happy with the service and 119 were not. Of those who had made no purchase, 142 were happy with the service and 309 were not.
Find the probability that a shopper who was happy with the service had made a purchase (round off to the nearest hundredth).
Answer:
This problem has been solved: ... a department store polled 700 shoppers regarding whether or not they made a purchase and whether or not they were pleased ... Of those who made no purchase, 201 were happy with the service and 215 were not. ... We know that number of event of a purchase and a happy with service is.
Step-by-step explanation:
Calculate the stress on the snow when the snowboarder stands on the board.
The snowboarder and snowboard weigh 600 N the snowboard is 140 cm long and 20 cm wide
Answer:
u uninstalled ♭ that ↓ t sugar rx
Step-by-step explanation:
utajtt kytisau
the TV Margaret wants cost $270 This week only, the TV is discounted by 25%. Margaret must pay 6% sales price. which saves the most money?
A. Taking the discount first then adding on the sales tax
B. Adding on the sales tax first and then taking the 25% discount
C. Both methods save the same amount of money
Answer:
C
Step-by-step explanation:
Method A:
270 decrease 25% =
270 × (1 - 25%) = 270 × (1 - 0.25) = 202.5
202.5 increase 6% =
202.5 × (1 + 6%) = 202.5 × (1 + 0.06) = 214.65
Method B:
270 increase 6% =
270 × (1 + 6%) = 270 × (1 + 0.06) = 286.2
286.2 decrease 25% =
286.2 × (1 - 25%) = 286.2 × (1 - 0.25) = 214.65