Answers
Answer:
Proved
Step-by-step explanation:
Given
The attached table
Required
Prove that Lydia is incorrect
Firat, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (5,19)[/tex]
[tex](x_2,y_2) = (4,15)[/tex]
So, we have:
[tex]m = \frac{15 - 19}{4 - 5}[/tex]
[tex]m = \frac{-4}{-1}[/tex]
[tex]m=4[/tex]
The equation is then calculated using:
[tex]y - y_1 = m(x-x_1)[/tex]
Where:
[tex](x_1,y_1) = (5,19)[/tex] and [tex]m=4[/tex]
This gives:
[tex]y - 19 = 4(x-5)[/tex]
[tex]y - 19 = 4x-20[/tex]
Make y the subject
[tex]y = 4x-20+19[/tex]
[tex]y = 4x-1[/tex]
The above shows the equation. Hence, the Lydia is correct
Related Questions
Hello random person and it would be very helpful if you know this answer!
Write the phrase as an expression.
1. 15 decreased by the product of a number x and 4.
Answers
Answer:
4x - 15
hope this helped
How do I solve × + 12, × = 15
Answers
Answer:
27
Step-by-step explanation:
x+12
Let x=15
15+12
27
Answer:
x = 15th root of (-0.067) = -0.83482
Step-by-step explanation:
Solve the exponential equation for x.
Answers
Answer:
c. x=-2
Step-by-step explanation:
256=(1/4)^(3x+2)
㏒(1/4) (256)=3x+2
-4=3x+2
3x=-6
x=-2
Write the following equation in standard form: x^5+ 2x^3 +6x +1/5
- ודם
Answers
Answer:
The equation is in standard form
Step-by-step explanation:
Hope this helps
Darren wants to save 1,125 for his vacation. When he saved 3 times as much as he has already saved, he will need only 27 more. how much has he saved so far
Answers
Answer:
125
Step-by-step explanation:
Pls help I’ll give you branliestttttt
Answers
One graph below shows the language arts test scores for students versus the time they spent studying. The other graph shows the language arts test scores versus the spelling test scores for the students.
Answers
Answer:
b
Step-by-step explanation:
hope his helped
Answer:
the answer is
B. They both have a positive correlation, but Graph 2 has a stronger association.
Step-by-step explanation:
the equations are
option 1. y= -3x+5
option 2. y= -1/3x+5
option 3. y= -3x-5
option 4. y= 1/3x+5
Answers
Answer:
option one
Step-by-step explanation:
the y intercept is at 5 and the slope is change in y over change in x and as y goes down 3 x goes up 1. -3/1=-3
Consider the line 2x-3y=-3.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answers
Parallel slope=2/3
If m∠AEB = 88°, find m∠AED
Answers
Answer:
fjruehbrehjfg
Step-by-step explanation:
h3efhrifhe
What is A number y divided by 9 is less than or equal to 17?
Answers
Answer:
the answer to what divided by 9 equals 17 is 153. You can prove this by taking 153 and dividing it by 9, and you will see that the answer is 17
Mr. Clauson bought boxes of lights to decorate his house for the holidays. He used 998 boxes containing 24 lights per box. How many lights did Mr. Clauson use to decorate his house?
Answers
Answer:
23952
Step-by-step explanation:
Answer:
23952
Step-by-step explanation:
so you would multiply 998 by 24 to get the answer
Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1).
Yeah
Answers
Answer:
The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:
[tex]y = x + 3[/tex]The graph of both the parallel equation is shown below to make you further understand the concept.
Step-by-step explanation:
The slope-intercept form of the line equation
[tex]y = mx+b[/tex]
where
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptGiven the equation
[tex]y = x - 3[/tex]
comparing with the slope-intercept form of the line equation
Slope m = 1
Important Tip:
As the parallel lines never intersect, therefore, they have the same slopes.Thus, the slope of the parallel line is also 1.
As the parallel line contains the point (-2, 1).
so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line
[tex]y = mx+b[/tex]
[tex]1 = 1(-2) + b[/tex] ∵ (x, y) = (-2, 1) and m = 1
[tex]1 = -2 + b[/tex]
switch sides
[tex]-2+b = 1[/tex]
add 2 to both sides
[tex]-2 + b + 2 = 1 + 2[/tex]
simplify
[tex]b = 3[/tex]
Thus, the y-intercept b of the parallel line is: b = 3
now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the equation of the parallel line
[tex]y = mx + b[/tex]
[tex]y = (1)x + 3[/tex]
[tex]y = x + 3[/tex]
Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:
[tex]y = x + 3[/tex]The graph of both the parallel equation is shown below to make you further understand the concept.
From the graph:
The green line represents the equation y = x - 3 The black line represents the parallel equation y = x + 3It is clear that both lines are parallel.
PLEASE HELP ITS OVERDUE PLEASE I NEED HELP!!
Answers
Answer:
B
Step-by-step explanation:
it has a line of 1/12 so every shirt is $12
Explain how to use patterns or sequences to determine the last digit of the number 7N, where N is the four-digit year of your birth.
Answers
Tina buys a briefcase online for 62.95. If shipping and handling are an additional 20% of the price, how much shipping and handling will Tina pay?
Answers
Answer:
Tina will pay $12.95 for shipping and handling.
Step-by-step explanation:
Because you literally just have to multiply $62.95 by .2 and you have your answer.
Bob has a total of 60 adventure cards for a game. The table shows the number of cards, c, distributed to p players. Which equation describes the
paltem in the table?
Does anyone know the answer for this ?
Answers
Answer:
A. c = 60 / p
Step-by-step explanation:
If p=2, the equation would read... c = 60 / 2, which mean c = 30. If c = 12, the equation would read... 12 = 60 / p, and p = 5, and so on, 20 = 60 / 3, and 15 = 60 / 4.
Select the expression that is equivalent to 2b+ 5 + 6b − 2b − 1.
Answers
Step-by-step explanation:
no entiendo.....aaaaa
Answer:
6b+4
Step-by-step explanation:
SOMEONE PLS HELP WITH THIS! Picture is provided
Answers
Step-by-step explanation:
to simplify this try making table and substitute the value of X and get y
write an equation to represent the following statement. k divided by 11=7. solve for k. k=?
Answers
Answer:
77
Step-by-step explanation:
77/11=7
Answer:
k=77 because 77/11 is 7
Step-by-step explanation:
A tree casts a shadow 38 m long.
At the same time, the shadow cast by a 37 cm tall
statue is 75 cm long.
Find the height of the tree. Use correct units.
Answers
Answer:
Step-by-step explanation:
let the height of tree=h
[tex]\frac{h}{38} =\frac{37}{75} \\h=\frac{37}{75} \times 38 \approx 18.75 ~cm[/tex]
14) x - 27 0
3
X^3-27=0
X^3-27=0
Answers
Answer:
For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)
For the bottom, x = 3
Hope this helps! Have a grrrreat day lol
Help on this will mark brainalist!
Answers
Answer:
y = 2x - 10
Step-by-step explanation:
Slope-intercept form is...
y = mx + b
To get the slope, you have to use the formula...
(y2 - y1) / (x2 - x1)
In this case,
y2 = 2
y1 = 10
x2 = 6
x1 = 10
So...
(2 - 10) / (6 - 10)
= -8 / -4 = 2
Therefore, slope is 2
y = 2x + b
Using any of the two x and y value provided, input the values in the equation
(I'm going to use 6,2)
2 = 2(6) + b
2 = 12 + b
b = -12 + 2
b = -10
Put this all together...
y = 2x - 10
Hope this helps :)
Let me know if there are any mistakes!!
Juan wants to eat fewer than 800
Calories at lunch. The table shows the
menu at the school cafeteria with the
Calorie totals listed for each item. Find
two different meal options for Juan to
choose for lunch. Then find the cost for
each meal.
Answers
Pls help me with this
Answers
Answer:
the third one!
Step-by-step explanation:
Because it says, the SUM of the number, x (or z I can't really see it well) and 1/2, you must add those two together:
1/2 + x
Then it says those two numbers equal to 4, so it would look like this:
1/2 + x = 4
Because you are trying to isolate, and solve for x, you must SUBTRACT 1/2 from both sides of the equal sign:
1/2 + x = 4
-1/2 -1/2
1/2 minus 1/2 would result 0, so there would be x by itself. and 4 minus 1/2 would be 3 and a half ( 3 1/2), so x would be 3 1/2
x = 3 1/2
Hope this helped. If this is incorrect please specify so I can help :)
can you solve it using a method? and show work
Answers
Answer:
There are always three ways to solve a system of equationsThere are three ways to solve systems of linear equations: substitution, elimination, and graphing. Let's review the steps for each method.Solve The systems of equation using any method
4×+3y=2 3x-3y=-9
Answers
a shopper pays $45 for 3 packs of t shirts. if each pack costs the same amount and contains 5 tshirts what is the cost per t shirt
A: $3
B: $6
C: $8
D: $9
Answers
Answer:
$3
Step-by-step explanation:
45/3=15
15/5=3
Goran makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answers
Answer:
P=H(8)
Step-by-step explanation:
P equals Pay.
H equals Hours.
Gorans pay is whatever his hours are times 8.
P=H(8)
I hope this helps!
5/7 times 1/6 ANSWER IN UNDER 2 MINUTS AND ILL MAKE YOU BRAINLIEST
Answers
Answer: GIVE ME BRAINLIEST the answer is 5/42
Step-by-step explanation:
Answer:
5/42
Step-by-step explanation:
It's simple multiplication, just multiply across.