We must to remember what is the standard form of equation of straight line. It looks like that:
Ax+By+C=0. A,B and C it's coefcients; x and y - it's variables.A and B must not be equal to zero at same time.This condition can be writen like this: (A^2+B^2) not equal to zero.
We know that x=2 ("after two hours") and y=15 ("velocity of the cyclist is 15 km/h")
AND
x=5 ("after five hours") and y=12 ("velocity of the cyclist is 12 km/h").
Lets look at standart form and give the values on variables.1. 2A+15B+C=0
2. 5A+12B+C=0and it is system.let's subtract the bottom equation from the top -3A+3B=03A=3BA=B.So we can choose any value for A and B, just A=B.I choose for A=B=1.Our equation takes the formx+y+C=0
x+y=-C
and if we giving the value to variables, we can find coefficients "C".
5+12=-CC=-17.
Standart form is:x+y-17=0. ---- answer for Part A.
and the graph of this function is a straight line.For find the answer to Part B, we need to prolong our straight line into the perpendicular vertical line wich contain x=12.
In the point of the intersection of the lines, you must to turn at right angle to axis OY and to come at the value in the axis OY, it's will be the velocity after 12 hours
Please help with this problem. SOLVE FOR X
Answer:
it's a parallelogram so the 50° is an alternate angle to the one you are trying to work out.
11x + 6 = 50°
11x = 50-6
11x = 44
X = 44/11
X = 4°
ois nel bookmarks school games & Others Which number is prime? 31 70 85 49 My Progress Copyright © 2021 by Curuculum Associates. All rights reserved. These materials, or any portion thereol, may not be reproduced or shared in any manner without express written consent of Curriculum Assos
Answer: 31 is the only prime number here since its factors are 1 and itself
Step-by-step explanation: since 70 has the factors, 10, 7, 5, 2, etc, it cannot be classified as a prime number.
85 and 49 have more factors than 1 and itself so it cannot be classified as a prime number either
1
Compare the function f(x) = 3x - to the function shown in the graph. Which statements are correct?
2
12 /
A)
The function f(x) = 3x -
12 /
and the graphed function have the same slope.
The graphed function has a lesser rate of change than the function f(x) =
B)
3x -
The function f(x) = 3x -
12 /
has a lesser rate of change than the graphed
function
D)
The graphed function has a y-intercept with a lesser value than the
1
function f (x) = 3x -
12/24
The function f(x) = 3x
has a x-intercept with a lesser value than the
E)
graphed function
Answer: B.), D.), and E.)
Step-by-step explanation:
That’s the answer on USAtestprep
I need help please i got stuck so please help me
what's 9-2x=35
please need help and explain it
Answer:
x = -13
Step-by-step explanation:
9 - 2x = 35
-9 -9
-2x = 26
divide by -2
x = -13
Answer: 13
Step-by-step explanation:
first, - 9 from both sides, then divide both sides by 2 to isolate the variable that is how
Tabby went to the mall to buy a gift. She found a store that was having a
store-wide discount of 25%. Write an expression to represent this situation if
she buys a gift.
Answer:
x(.25)
Step-by-step explanation:
X is the gift and you multiply it by .25 and that takes 25% off.
Hope this helps :)
help pleaseeeeeeeeeee !!!!!
9514 1404 393
Answer:
5/6
Step-by-step explanation:
The scale factor is the ratio of corresponding dimensions. The image dimension is divided by the preimage dimension.
k = 30/36 = 25/30 = 5/6
The scale factor is 5/6.
You are conducting an experiment to test the density of a new recipe for chocolate cake. You will test the recipe with 3 different baking temperatures (350, 400 and 450) and 3 different baking times (45 minutes, 55 minutes and 60 minutes).
How many treatments are there?
Answer: There are 9 possible treatments .
Step-by-step explanation:
There are 3 different baking temperatures (350, 400 and 450) and 3 different baking times (45 minutes, 55 minutes and 60 minutes).
By Fundamental counting principle,
Number of treatments = (Number of different baking temperatures) x (Number of different baking times)
= 3 x 3 = 9
Hence, there are 9 possible treatments .
The number of treatments is 9.
Given that,
You will test the recipe with 3 different baking temperatures (350, 400 and 450) and 3 different baking times (45 minutes, 55 minutes and 60 minutes).Based on the above information, the calculation is as follows:
Here we used the fundamental counting principle.
[tex]= 3 \times 3 \\\\= 9[/tex]
Therefore we can conclude that the number of treatments is 9.
Learn more: brainly.com/question/16115373
write the equivalent fraction by division 30 by 42
Answer:
5/7
Step-by-step explanation:
5/7 is the simplified fraction for 30/42 by using the GCD or HCF method
fast plzzzzz i need the answer
What is the value of the expression shown below?
8² ÷ 16 + 2 • (-3)
-18
-2
10
-10
HELP THIS IS DUE TODAYYY
Will somebody please help me and explain this to me
Answer:
Step-by-step explanation:
The lengths of 3 sides of a triangle are given. Use the Pythagorean Theorem (a? + b2 = c?) to
determine if the triangle is a right triangle. (Show your work.)
1. a = 9 in, b = 12 in, c = 15 in
2. a = 8 cm, b = 15 cm, c = 17 cm
3. a = 3 m, b = 2 m,c = 13 m
Yes, it's a right triangle.
No, it's not a right triangle.
Yes, it's a right triangle.
No, it's not a right triangle.
Yes, it's a right triangle.
No, it's not a right triangle.
4. a = 2 ft, b= 1 ft,c=v5 ft
5. a = 5 m b = V11 m, c = 6 m
6. a = 2 m b = 6 m, c = 20 m
Yes, it's a right triangle.
No, it's not a right triangle.
Yes, it's a right triangle.
No, it's not a right triangle.
Yes, it's a right triangle.
No, it's not a right triangle.
What number is equivalent to 6%
A-6.0
B-0.06
C-0.6
D-6/100
E-3/50
Answer:
0.06
Step-by-step explanation:
Since the decimal equivalent of any percentage is the number over 100, 6 percent is 6/100, i.e., 0.06.
A lorry travels 100 miles at an average speed of 25 mph.
Work out how long the journey lasts.
Answer:
Step-by-step explanation:
the journey will last
100 miles/25 mph=4 hours
Lorry travels 100 miles at a speed of 25 mph for 4 hours.
What is average speed?Average speed is calculated by dividing the entire distance that something has traveled by the overall amount of your time it took it to travel that distance. Speed is how briskly something goes at a specific moment. Average speed measures the typical rate of speed over the extent of a visit.
How to calculate time?We know that speed=distance/time
We have been provided that speed=25 miles per hour and distance is 100 miles. so so as to calculate the time we've got to merely put the values of speed and distance within the formula:
Time=distance/speed
=100/25
=4
Hence lorry will take 4 hours to hide 100 miles at a speed of 25 miles per hour.
Learn more about speed at https://brainly.com/question/4931057
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The following are the ages (years) of 5 people in a room:
17, 21, 15, 15, 25
A person enters the room.
The mean age of the 6 people is now 25.
What is the age of the person who entered the room?
Answer:
57 years
Step-by-step explanation:
The mean of a set of numbers is given as the ratio of the sum of the numbers to the number of numbers in the given data set.
Hence given that the age of 5 people are 17, 21, 15, 15, 25 and a 6th person joins the set, making the mean age 25, let the age of the new person that joined be x then
25 = (x + 17 + 21 + 15 + 15 + 25)/6
25 = (x + 93)/6
Multiply both sides by 6
150 = x + 93
subtract 93 from both sides
x = 150 - 93
x = 57 years
The age of the person who entered the room is 57 years
The length, in inches, of a box is 3 inches less than twice
its width, in inches. Which of the following gives the
length, I inches, in terms of the width, winches, of the
box?
Answer:
l=2w-3
Step-by-step explanation:
Solve the problem:
x+4=−14
Answer:
-18
Step-by-step explanation:
x+4=14
subtract 4 from both sides to cancel out the 4 and leave you with and X
x=-18
help pls!
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
ty :)
Answer:
3.56
Step-by-step explanation:
The fraction must equal 1 when simplified because 6.93 times 1= 6.93
Because 4.21 is found on both top and bottom, they get eliminated. So only 3.56 is left.
Hope this helps! :)
2/3x+1=1/6x-7
What the answer solve for 15 points !!
Answer:
The value of x is -16.
Step-by-step explanation:
☆Let's solve!
[tex] \: \: \: \: \: \: \: \: \: \: \frac{2}{3} x + 1 = \frac{1}{6} x - 7 \\ \frac{ - \frac{1}{6}x \: \: \: \: \: \: \: \: \: = - \frac{1}6{x} }{ \frac{1}{2}x + 1 = - 7} \\ \: \: \: \: \: \frac{ - 1 = - 1}{ \frac{ \frac{1}{2} x}{ \frac{1}{2} } = \frac{ - 8}{ \frac{1}{2} } } \\ x = - 16[/tex]
Can someone help with B pls
Answer:
see explanation
Step-by-step explanation:
(b)
Given
x² - 8x + 20 = (x - 4)² + 4
(x - 4)² will be positive for all real values of x , except x = 4, where it will be zero.
Then (x - 4)² > 0, so
(x - 4)² + 4 > 0 , that is always positive
simplify the expression 6 ( y + z )
How many triangles can be constructed with sides measuring 7 cm, 6 cm, and 9 cm?
Question 5 options:
none
one
more than one
Answer:
Only one triangle is possible.
Step-by-step explanation:
Triangle inequality says that if sum of any two sides of the traingle is greater than the third side, then the triangle is possible.
Here,
,
Therefore, a triangle is possible with the given measurements,
Let us assume there is another triangle with same measurement with same measurements 7 cm, 6 cm, and 9 cm.,
By SSS congruency criteria both the triangles will be congruent.
Thus, all triangles with same measurement will be congruent to each other.
Hence, only one triangle is possible.
Answer:
one
took the quiz on k12 and got it right
Solve for x.
(x + 5)(x + 4) = 9x + 141
Answer: x=11 or x=-11
Step-by-step explanation:
Answer:x=11 or x=-11
Step-by-step explanation: First, Use the FOIL method.
(x+5)(x+4)=9x+141
First: [tex]x^{2}[/tex]
Outer: 4x
Inner: 5x
Last: 5x4=20
Combine Like terms and write in standard form: [tex]x^{2}[/tex]+9x+20
Set up new equation:[tex]x^{2}[/tex]+9x+20=9x+141
Subtract 9x from both sides: [tex]x^{2}[/tex]+20=141
Subtact 20 from both sides: [tex]x^{2}[/tex]=121
Sqr root 121: [tex]\sqrt{121}[/tex] =11
Remeber a sqr root of a positive number can be positive and negative so x= 11 or -11
Brett rolled a pair of number cubes 36 times. He rolled a sum of 7 for 12 of
those rolls. The theoretical probability of rolling a sum of 7 is. What is
the difference between Brett's experimental probability and the theoretical
probability?
Answer:
the difference is of theoretical probability is 6
The range of f(x) = |x| is y ≥ 0. If a < 0 and b ≠ 0 for g(x) = a|x| + b, what is the range of function g?
The required range of the function g(x) = a|x| + b is y ≥ 0.
Let's analyze the function g(x) = a|x| + b step by step to determine its range.
The function |x| represents the absolute value of x, which means it always yields non-negative values. Therefore, a|x| will also be non-negative for any value of x.
Adding b to a non-negative value will shift the entire range up by b units, but it will still be non-negative.
Since a < 0, a|x| will be negative when x is positive. However, the absolute value function ensures that it will be positive when x is negative, balancing out the effect.
Finally, adding the constant term b to a|x| makes the entire range of g(x) non-negative.
In summary, the range of g(x) = a|x| + b is y ≥ 0.
Learn more about the range here:
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Given m||n, find the value of x.
1
(7x+3)
(8x+1)°
Answer:
x = 2Step-by-step explanation:
Angles (7x + 3)° and (8x + 1)° are corresponding angles
Therefore:
m║n ⇒ (7x + 3)° = (8x + 1)°
(7x)° + 3° = (8x)° + 1° {subtract (7x)° from both sides}
3° = x° + 1° {subtract 1° from both sides}
2° = x°
x = 2
Y=3x+6 need to be written in standard form
Answer:
3x + 6 = y
Step-by-step explanation:
Jayla is making brownies that require one cup of water to 4 cups of flour she wants to use the same ratio to make more brownies how many cups of flour does she need for 6 cups of water?
Answer:
24 cups of flour
Step-by-step explanation:
For every 1 cup of flour, Jayla need 1/4 cups of water
1/4 in decimal form is 0.25
so
6÷0.25=24
she paid 17.68 per plate and their are 8 plates. how much money did she spend
Answer:
$141.44
Step-by-step explanation:
- $17.68 each plate
- There are 8 plates
17.68 times 8 = $141.44
