Given:
A line passes through the points (1,-7) and (5,-25).
To find:
The y-intercept of the line.
Solution:
The line passes through the points (1-7) and (5-25). So, the equation of the line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-7)=\dfrac{-25-(-7)}{5-1}(x-1)[/tex]
[tex]y+7=\dfrac{-25+7}{4}(x-1)[/tex]
[tex]y+7=\dfrac{-18}{4}(x-1)[/tex]
[tex]y+7=-4.5(x-1)[/tex]
Subtracting 7 from both sides, we get
[tex]y=-4.5x+4.5-7[/tex]
[tex]y=-4.5x-2.5[/tex]
Putting x=0, we get
[tex]y=-4.5(0)-2.5[/tex]
[tex]y=0-2.5[/tex]
[tex]y=-2.5[/tex]
Therefore, the y-intercept of the given line is -2.5 and the vertex form of (0,-2.5).
write 8z + z - 5 - 9z +2 in simplest form
Write and equivalent expression for the following expression: ab
Answer:
ab = a(b)
Step-by-step explanation:
cuz u can just add parentheses
Aaron borrowed money to start a new
business. The simple interest rate on the
loan is 2.5%. He will pay back the loan by
making a total of 12 payments of $266.50
each. How much did he borrow?
Answer:
$6.69448
Step-by-step explanation:
I=?
P=$266.50
R=2.5*1/100=2.5/100
T=12
P*R*T
$266.50*2.5/100*12=$6.69448
20.7 liters of water came out of a faucet today. If 1.5 liters of water come out each minute, how many minutes was the faucet on?
Answer:
13 min 8 sec
Step-by-step explanation:
Answer:
13 hours 15 mins
Step-by-step explanation:
20.7/1.5= 13.8
Find the area of the following figure:
[tex]2688[/tex]
Step-by-step explanation:1) Simplify 2 × 8 to 16.
[tex]16 \times 12 \times 14[/tex]
2) Simplify 12 × 16 to 192.
[tex]192 \times 14[/tex]
3) Simplify.
[tex]2688[/tex]
So, therefor, the answer is, 2688.
Write an equation in standard form of the circle with the given properties.
Center at the origin; r square root 6
Answer:
x² + y² = 6
Step-by-step explanation:
The standard form of the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
Here r = [tex]\sqrt{6}[/tex] , then
x² + y² = ([tex]\sqrt{6}[/tex] )² , that is
x² + y² = 6
Ken, the camp cook, makes 3 meals for every camper. The
equation y 3x shows the number of meals he makes,
which depends on the number of campers.
Select the graph with the correctly labeled axes for this situation.
Answer: number of meals on the left side then number of campers on the bottom
Step-by-step explanation:
A p e x and it says 3 meals for every camper it never said how long so it’s not going to be so the graphs with day in it next you can’t put campers on the side cause if you don’t have enough meals for everyone you ant goin keep the campers happy so that’s how I got my answer sorry if that was confusing brainless please
Answer:is D
Step-by-step explanation:
Plz help asap its due in 40 mins
Answer:
b
Step-by-step explanation:
yes its right
Answer:
1) x=11
2)x=9
3)pr=21
4)fe=68
2) 1) A 6 ft tall lawn ornament standing next to a baby elephant casts a 18 ft shadow. If the baby elephant casts a shadow that is 12 ft long, then how tall is it?
Answer: 4 feet.
Step-by-step explanation:
Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3
Proportion from baby elephant to its shadow = x : 12ft
These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.
In order to solve this problem, we need to cross multiply. (Attached image)
So, 3x = 12.
By solving this equation, we find that x = 4
The height of the baby elephant is 4 feet.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
Last Year
5. The frequency table shows the scores from rolling a dice 10 times.
Score Frequency
1 2
2 2
3 1
4 0
5 3
6 2
work out the mean
Answer:
3
Step-by-step explanation:
The computation of the mean is shown below:
= Total sum ÷ number of observations
= (1 + 2 + 2 + 2 + 3 + 1 + 4 + 0 + 5 + 3 + 6 + 2) ÷ 12
= 31 ÷ 12
= 2.58
= 2.6
= 3
work out the surface area of this cylinder
Answer:
A=2πrh+2πr2=2·π·2·4+2·π·22≈75.39822
Step-by-step explanation:
Estimate the solution of the equation to the nearest integer, z² = 85.
A. 7
B. 8
C. 9
D. 10
Let U = {2, 3, 4, 5, 6, 7, 8}, A = {2, 3, 4, 5}, B = {2, 3, 6, 7}, and C = {4, 6, 8}. List all the members of the given set. (Enter your answers as a comma-separated list.) (A ∪ B) ∩ C
Answer:
(2,3,4,5,6,7)
6
Step-by-step explanation:
I thought I'm wrong ...
About 20 raindrops will make one milliliter. How many raindrops would you need to fill a 3.5 liter bottle?
Answer:
Step-by-step explanation:
70
What is the slope of the line that passes through the points (2, -3) and (5, 1)
Answer:
Answer is (4) 4/3
Step-by-step explanation:
[tex]\frac{1- -3}{5-2}[/tex]
[tex]\frac{4}{3}[/tex]
Answer:
slope is 4/3
Step-by-step explanation:
1-(-3)/5-2
4/3
Which inequality is equivalent to this one? y-85-2
Answer:
[tex]y-8+2\leq -2+2[/tex]
Step-by-step explanation:
Since you're adding either 8 or 2 to both sides, the inequality sign doesn't change.
So we can eliminate the first and second choice.
Now it's down to the bottom two.
The third choice is adding 2 to the left hand side and then adding 8 to the right hand side. You can't add two different numbers to different sides.
Therefore, the last one must be the correct answer.
The last one is adding two to both sides and have the same inequality sign.
Help pls!!! Worth 16 points!!!:)))
Answer:
18: Safe volume: s <= 115. Unsafe: s > 115.
19: 2-a, 1-b, 3-c, 4-d
20a: Justin is incorrect. 12 is a solution. 12 >= 12 is a true statement.
20b: f > 12
Step-by-step explanation:
Write answer in scientific notation
converd improper fraction into mixed fraction 3/20
Answer:
Cannot be written as a mixed number
Step-by-step explanation:
Since 3/20 is a proper fraction, it cannot be written as a mixed number.
Find a solution to the linear equation 13x+y=26
Answer:
y = -13x+26
Step-by-step explanation:
13x+y=26
y= -13x+26
(FILL IN THE BLANK)
Analyze the graph of the exponential decay function.
The initial value is _____
The base, or rate of change is _____
The domain is _____
1/4 + 2/3 = equals what
There are (3^5)^2 . 30 leaves on a tree. What is the total number of leaves on the tree? (5 points)
Answer:
The awnser is 3^10
Step-by-step explanation:
1. The velocity of a car as it travels over a level crossing is modeled by v = t2 – 4t + 12
for 0 < t < 4 where t is the time in seconds after it reaches the crossing. When does the car reach its minimum speed? What is the minimum speed?
Show your work or strategy:
When does the car reach its minimum speed? _________________
What is the minimum speed? _________________________
Answer:
At t=2s the car reach its minimum speed
Minimum speed=8m/s
Step-by-step explanation:
We are given that velocity of car
[tex]v(t)=t^2-4t+12[/tex]
0<t<4
Differentiate w.r.t t
[tex]v'(t)=2t-4[/tex]
[tex]v'(t)=0[/tex]
[tex]2t-4=0[/tex]
[tex]2t=4[/tex]
[tex]t=2[/tex]
[tex]v''(t)=2>0[/tex]
The velocity is minimum at t=2 s
Substitute t=2
[tex]v(2)=2^2-4(2)+12[/tex]
[tex]v(2)=8m/s[/tex]
Hence, the speed of car is minimum at t=2 se and minimum speed of car=8m/s
I need help
A square and a triangle have equal area. If the triangle has a height of 8 cm and a base of 9 cm, what is the perimeter of the square?
A:
72 cm
B:
6 cm
C:
24 cm
D:
18 cm
Answer:
A 72cm
Step-by-step explanation:
Area of a triangle = 1/2 base x height
= 1/2 × 8× 9 = 36cm2
area of triangle = area of square
36cm2 = 36cm2
area of square = length x breath
= x x x = 36cm3
square has all sides(4) equal
therefore: 36/ 2 = 18cm (one side)
(18 x 18= 36cm3, so area is correct)
hence perimeter = 18+ 18+18+18 = 72cm
One of the legs of a right triangle measures 4 cm and the other leg measures 19 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
A2 + B2 = C2, so 4 squared + 19 squared = C2, 16 + 361 = 377. 377's square root is 19.4.
Step-by-step explanation:
The measure of the hypotenuse is 19.4 cm.
Given that, one of the legs of a right triangle measures 4 cm and the other leg measures 19 cm.
What is the Pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Let the measure of the hypotenuse be x.
Using Pythagoras theorem,
x² = 4² + 19²
⇒ x² = 16 + 361
⇒ x² = 377
⇒ x = √377
⇒ x = 19.4 cm
Therefore, the measure of the hypotenuse is 19.4 cm.
To learn more about the Pythagoras theorem visit:
https://brainly.com/question/21926466.
#SPJ2
PLZZZZZZZZ help me not desperate but gotta get done by today its asking this- Brian tossed a paper cup a total of 25 times and record the data below on how the cup landed.
Position of cup Open side up Closed side up Landing on side
Number of times landed in the position 3 7 15
Find the experiment probability for the following
a. Open side up:
b. Closed side up:
c. Landing on its side:
1/4 + 2/3= then times that by two
Answer
1 7/12
Step-by-step explanation:
Y varies directly with x. If y = 150 when x = 3, what is x when y = 600
Answer:
Step-by-step explanation:
Y varies directly with x:
y=kx
for some non-zero constant k
substitute y=150 and x=3:
150=3k
k=50
When y=600:
600=(50)x
x=12
In AJKL, the measure of ZL=90°, JK = 7.3 feet, and KL = 4.7 feet. Find the measure
of ZJ to the nearest tenth of a degree.
Answer:
40.1°
Step-by-step explanation:
JK is the hypotenuse of the right triangle.
For angle J, KL is the opposite leg.
sin A = opp/hyp
sin J = 4.7/7.3
J = sin^-1 4.7/7.3
J = 40.1
Answer: 40.1°