The equation is C. y − 5 = −(x − 2)
The line equation is y − 5 = −(x − 2), and the correct option is C.
What is the equation of a Straight Line?The equation of a straight line is given by
y = mx +c
where m is the slope and c is the y-intercept.
The line goes through the points (1, -1) and (4, 2),
The slope of the line will be
m = (y'-y)/(x'-x)
m = ( 2+1)/(4-1) = 1
The product of the slope of the line and the line perpendicular to it is -1
So, the slope of the line perpendicular to the given line is -1.
The line passes through the point (2,5)
The point-slope form is
(y-y') = m(x-x')
so, the equation will be
y − 5 = −(x − 2)
Therefore, the line equation is y − 5 = −(x − 2), and the correct option is C.
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I need help!! Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x^3 + 1. Include the average rate of change in your answer.
Answer:
39
Step-by-step explanation:
The average rate of change obtained from the ratio of the change in y to the change in x is 39.
The average rate of change can be obtained using the relation :
Rate of change = (y2 - y1) ÷ (x2 - x1)
At ; x1 = 1
y1 can be calculated from the function ;
y1 = 3(1³) + 1 = 3(1) + 1 = 4
At ; x2 = 3
y1 can be calculated from the function ;
y2 = 3(3³) + 1 = 3(27) + 1 = 82
Rate of change can be calculated thus :
Slope = (82 - 4) ÷ (3 - 1) = 78 ÷ 2 = 39
Therefore, the average rate of change is 39.
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Write the equation in point-slope form of the line that passes through (7, -6) and has the slope of 1/2.
PLS HELP
Answer:
y=1/2x-6
Step-by-step explanation:
use the equation y=mx+b
m=slope and b=y-intercept.
we know that the slope is 1/2 and the point is in (x,y) form so for b we can insert the b as -6 , the point that intercepts the y-axis. hope this helps!!
Dan has already written 27 pages,and he expects to write 1 page for every additional hour spent writing . After spending 21 hours writing this week ,how many pages will Dan have written in total ?
Answer:
48 pages total
Step-by-step explanation:
hope this helps
The population of deer in a state park can be predicted by the expression 106(1.087)t, where t is the number of years since 2010.
Answer:
b) When will the number of deer be 600?
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line shown on the graph?
if the cost of carpeting a floor is $2.50 per foot how much will it cost to carpet a rectangular floor that is 10 feet by 12 feet
Answer:
300 dollars
Step-by-step explanation:
Multiply 10 feet by 12 feet to get the total number of feet needed
10x12=120 feet
120 times $2.5= $300
The cost to carpet a rectangular floor is $300.
Given that,
The cost of carpeting a floor is $2.50 per foot A rectangular floor that is 10 feet by 12 feetBased on the above information, the calculation is as follows:
[tex]= 10 \times 12 \times \$2.50[/tex]
= $300
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please help! i would appreciate it!
Answer:
(Answer
Step-by-step explanation:
deleted)
I need help with this pleaseee
The submarine dove 150 feet from periscope height to an elevation of 200 feet below sea level.
A number line has points blank, A, negative 100, B, 0, C, 100, blank, D.
Which point is a representation of periscope height?
Point A
Point B
Point C
Point D
Answer:
d
Step-by-step explanation:
Answer:
It is point d
Step-by-step explanation:
if a=3 and b=5, what is the value of a^2 + b^2?
Answer:
31
Step-by-step explanation:
6+25=
Answer:
34
Step-by-step explanation:
3^2 = 9
5^2 = 25
25 + 9 = 34
Which equations have infinitely many solutions? select all the correct
A x - 3x =-2x + 4
B x = 1/3 (3x) = 0
C 1/3x - 3 = 4 + 2x
D x = 1/3x + 2=0
Answer:
The answer is A, "x - 3x =-2x + 4"
Step-by-step explanation:
Hope This Helps
Answer:
B and D
Step-by-step explanation:
the scale on a map is 1:500000
two towns are 7cm apart on the map
what is the actual distance between the towns in kilometers ?
Answer:
35km
Step-by-step explanation:
1:500000
7:?
(cross multiply)
=3500000cm
1km=100000cm
3500000cm
3500000cm×1km
100000cm
=35km
Find ‘k’ if 2 k- 1, 7, 11are in A.P.
• 2k -1 , 7 and 11 are in AP .
To find :• The value of k .
Solution :• As we know that , In AP common difference is same .
• b - a = c - b
=> 2b = a + c
Here :
• a = 2k-1
• b = 7
• c = 11
=> 2 (7) = 2k-1+11
=> 14 = 2k+10
=> 2k = 14-10
=> 2k = 4
=> k = 4/2
=> k = 2 .
Hence ,the value of k is 2 .
Hope it will help you.
Regards.
How many subscribers will there be in week 9 if the initial number of subscribers is 10?
Answer:
if the number of substribers has a constant rate of change than the number of subscribers in 9 weeks should be around 90
Watermelons are on sale at the grocery store. They cost $6
for 2 watermelons. How many watermelons could you buy
for $21?
Answer:
7
Step-by-step explanation:
Answer:10 watermelons
Step-by-step explanation:
Describe or show how to find the following product using both an algorithm and a diagram:
3 x 3/4
Answer:
Explanation:
PART 1. Using an algorithm:
First expression:
Step 1: Multiply numerators and denominators.
Second expression:
Step 1: Multiply numerators and denominators.
Third expression:
Step 1: Convert mixed fraction into improper fraction:
Step 2: Replace the improper form into the expression
Step 2: Multiply numerators and denominators.
PART 2. Using diagram:
The diagram is shown below. Basically the steps we follow are the same as if it were using algorithms.
Step-by-step explanation:
Answer:
hhahaahhahahaahhaahaha yalll so dum hahahahahahahhahaahah
Step-by-step explanation:
this is easy. hahahahahahahhaahahhaahahahhaahhaahahahaha
simplify into one fraction (thanks in advance)
[tex] \frac{2}{p + 3} - \frac{5p}{2p - 2} [/tex]
Answer:
2-5p
1-p
Step-by-step explanation:
put the whole equation into one one fraction. then you simplify. first do the bottom
1. first do 3-2=1
2. then the variable numbers i forget the fancy term
p-2p = -p
3. add together 1 - p
then do the top
its the same thing so then you put the new fraction together
4. 2-5p
1-p
I forget if there's anymore steps but I hope this helps
which of these numbers has the most factors? 6:
17:
25:
36:
Answer:
36
Step-by-step explanation:
WILL GIVE BRAINIEST IF RIGHT :) Andrew solved the following inequality, and his work is shown below:
−4(x + 8) ≤ −2x + 50
−4x − 32 ≤ −2x + 50
−2x − 32 ≤ 50
−2x ≤ 82
x ≤ −41
What mistake did Andrew make in solving the inequality?
A He did not make a mistake.
B When dividing by −2, he did not change the direction of the sign.
C He added 2x to both sides when he should have subtracted.
D He added 32 to both sides when he should have subtracted.
Answer:
When dividing by −2, he did not change the direction of the sign.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
whenever u divide by a negative number in inequality the sign always changes
Can someone help me with these two questions step by step plz
Answer:
1) x= 20
2) x= 75
Step-by-step explanation:
In the first problem, we see vertical angles. This means that both angles equal each other: 50= 2x+10
Step 1- Subtract 10 to both sides.
50= 2x+10
-10 -10
40= 2x
Step 2- Divide both sides by 2.
40= 2x
2 2
x= 20
In the next problem we see a straight line and an intersecting point. Now, both of these angles sum up to 180 degrees. So the equation would be:
x-10+2x-35= 180
Step 1- Add common variables.
(x+2x)+(-10-35)= 180
3x-45= 180
Step 2- Add 45 to both sides.
3x-45= 180
+45 +45
3x= 225
Step 3- Divide both sides by 3.
3x= 225
3 3
x= 75
Input the value of x into the equations.
75-10= 65
2(75)-35= 115
Hope this helps!
Look at image Please help I’m struggling
Answer:
.75 per 1 apple
Step-by-step explanation:
A unit rate has only 1 of the item in the denominator
12 apples and 4 apples are not 1 of the item
$.75/ 1 apple is a unit rate
Compare the ratio of miles driven to gallons of gas used for Car A and Car D. Write the ratios as fractions and use a common denominator of 8. The ratio of miles to gallons for Car A is /8. The ratio of miles to gallon for Car D is /8. The ratio for Car A is the ratio for Car D.
Answer:
The ratio of miles to gallons for Car A is
✔ 224
/8.
The ratio of miles to gallon for Car D is
✔ 184
/8.
The ratio for Car A is
✔ greater than
the ratio for Car D.
Step-by-step explanation:
Wanda the Witch knows Halloween is coming up soon so she
has started increasing the amount of carbs she eats every
day so she can build up some stamina for all the work
that Halloween brings. (Scaring little kids is a lot of work)
Wanda increased her Carbohydrate intake
from 250 grams a day to 415 grams a day.
By what percentage did Wanda increase the amount of
carbs she eats daily?
Answer:
mathematics ba talaga po ba ito?
HELP MEH BRAINLIEST ANSWERS
Answer:
Not sure if this has been answerd but its 6
Step-by-step explanation:
if u are really gonna give brain that would be cool
Select the correct answer.
Which of these graphs represents a function?
Question:
Select the correct answer.
Which of these graphs represents a function?
Answer:
B. X
Explanation:
D. Z is not the answer
please please please i need help !!!
Answer: Choice B
h(c) = 1 for at least one c between -3 and 4
====================================================
Explanation:
Draw an xy axis system. Plot the points (-3,-1) and (4,2) on this grid. These points come from the fact that h(-3) = -1 and h(4) = 2. These are the endpoints of the h(x) function.
Next, draw horizontal lines through both points. Also, draw vertical lines through the two points as well. A rectangle will form.
The region inside this rectangle is all we care about.
We're told that h(x) has endpoints mentioned earlier, and h(x) is continuous, so that means we have some curve or line through the two points. One such example is shown below. There are infinitely many possible curves to draw out as long as they stay in the rectangle.
----------------------
After you have your h(x) function curve drawn, draw a horizontal line through y = 1 on the y axis. This is the dashed line in the diagram below.
This horizontal line crosses the green h(x) curve at one point or more. In my example, it does so at one point only. However, you could easily draw h(x) so that it crosses y = 1 as many times as you want (just have it squiggle up and down multiple times).
This shows that h(c) = 1 is possible when [tex]-3 \le c \le 4[/tex]. Here c is playing the role of x since it is the input of a function. The h(c) is the output, so that's the y value.
This says that for some input between -3 and 4, it's possible to get an output of 1.
-------------------------
Here's a real world example of the intermediate value theorem.
Let's say the endpoints are A and B, and they are two towns.
The h(x) curve is a road connecting the towns.
To go from A to B, or vice versa, we need to cross over some border that is between the towns. The border in this case is the dashed horizontal line in the diagram.
side note: A special use of the intermediate value theorem is to show that a root exists on some interval (if you know the function changes between positive to negative, or vice versa).
10 points
HEELP IMEDIALLTLY
Use linear equation to calculate intercepts.
Answer:
a=8, b=-4
Step-by-step explanation:
set both equal to zero
a: 0 (-1/2)(8)=-4
-1/2y=-4, multiply both sides by the reciprocal of -1/2, which is -2
y=8 when you multiply both sides by -2
b: 4-(0)(0)=-4
when y is 0, the equation become x-0=-4
or x=-4, meaning x must equal -4
Answer:
a is equal to 8
b=-4
Step-by-step explanation:
Write the linear equation in slope intercept form y-2=1/2(x+4)
Answer:
y = 1/2x + 4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
Point-slope form; y - 2 = 1/2(x + 4)
Step 2: Rewrite
Distribute 1/2 to both sides: y - 2 = 1/2x + 2Add 2 to both sides: y = 1/2x + 4Answer:
y=1/2x+4
Step-by-step explanation:
y-2=1/2(x+4)
(distribute the 1/2)
y-2=1/2x+2
(add 2 to both sides)
y=1/2x+4
A computer store pays sales associates $10 per hour
and managers $15 per hour. If the total hours
worked by the sales associates is 100 and the total
hours worked by managers is 50, how much will the
store pay in wages?
Answer:
They pay a total of $1750.
Step-by-step explanation:
You multiply the hours by the pay per hour SO,
Managers= $15 multiplied by the 50 hours they worked ($15 * 50hrs.) and get "$750"
Associates= $10 multipled by 100 hours ($10 * 100) and get "$1000"
Add the total sums ($750 + $1000) and get a total of $1750
what is 2 2/3÷1 1/2?
Answer:
1 7/9
Step-by-step explanation:
i hope this helps you out!!
brainliest greatly appreciated
Answer:
1 7/9
Step-by-step explanation: