We are given a line and a point, I assume that we want to see if the point is on the line or not.
We will see that the point does not belong to the line.
First, let's find the equation of the line.
A general line can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we know that our line passes through the points (-2, 4) and (1, -9). Then the slope is:
[tex]a = \frac{4 - (-9)}{-2 - 1} = \frac{13}{-3} = -\frac{13}{3}[/tex]
Then our line is something like:
[tex]y = -\frac{13}{3} *x + b[/tex]
To find the value of b, we can use one of the two points that we know that are on the line.
For example, the point (-2, 4) means that when x = -2, we must have y = 4.
Replacing that in the equation we get:
[tex]4 = -\frac{13}{3} *(-2) + b\\\\4 = \frac{26}{3} + b\\\\4 - \frac{26}{3} = b\\\\\frac{-14}{3} = b[/tex]
Now we can write the line equation as:
[tex]y = -\frac{13}{3} *x - \frac{14}{3}[/tex]
Now we need to see if the point (14, -6) belongs to the line.
To see this, we evaluate the line in x = 14.
[tex]y = -\frac{13}{3} *14 - \frac{14}{3} = -\frac{196}{3}[/tex]
This is different than -6, so the point does not belong to the line.
If you want to learn more, you can read:
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Khloe needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 6 hours and charged her $59 for parts. The total was $749. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
The cost of the labor per hour is $115.
The total amount that the technician charged her is the sum of the cost for the total hours worked and the costs of the parts.
Total charge = cost of total hours worked + cost of parts
$749 = $59 + cost of total hours worked
Cost of total hours worked = $749 - $59
Cost of total hours worked = $690.
In order to determine the cost per hour of labour, divide the total cost of total hours worked by the hours worked.
$690 / 6 = $115.
A similar question was answered here: https://brainly.com/question/20177461
Answer:
115.
Step-by-step explanation:
1. the post office conducted a survey of 600 of its customers to find the time of day when the mail was delivered the post office found that 15 percent of the customers had their mail delivered late how many people had their mail delivered late ?
2. while shopping Miranda found a shirt on the rack marked 25 percent off if the original price was 24 dollars how much will be deducted from that price
Answer: This report responds to an August 7, 2020, congressional request regarding concerns that Postmaster General Louis DeJoy’s modifications to U.S. Postal Service staffing and policies had an adverse effect on Postal Service operations, leading to slower and less reliable mail delivery. This report also responds to a number of recent similar congressional requests. We are issuing a separate report to the Postmaster General which details these issues with recommendations for corrective action.
Step-by-step explanation:
WILL MARK THE BRAINLIST!!
In the previous activity, you found an equation with a negative unit rate, y = -50x – 100. This equation gave the depth of a submarine, y, given time, x. It assumes that the submarine starts at a depth of 100 feet, and then starts descending at a rate of 50 feet per minute. In this activity, you will graph the equation.
Part A
Graph the equation y = -50x – 100 by going to your math tools and opening the Graph tool. Set the scale of the y-axis to range from -150 to 50, and set the x-values to range from -5 to 10. Paste a screenshot of your graph in the answer field.
Answer:
Step-by-step explanation:
Answer from plato.
746.2 divided by 2.8 and need help to explain it
Answer:
266.5
Step-by-step explanation:
I directly used calculator
These triangles
are congruent
by the triangle
congruence
postulate [? ]
A. SAS
B. SSS
C. Neither, they are not congruent
Answer:
B-SAS
Step-by-step explanation:
Was right on acellus
If the difference of a number and two is tripled, the result is six more than the number. Find the number. Round your answer to the nearest integer, if necessary.
Answer:
6
Step-by-step explanation:
let the number be x
(x-2)3=x+6
3x-6 = x+ 6
2x= 12
x= 6
MIK
chocolate
20%
Dark
chocolate
45%
White
chocolate
35%
A survey was conducted to determine people's chocolate preferences. The results are shown on the circle graph.
If 500 people were surveyed, how many more people preferred dark chocolate over milk chocolate?
-0)
A)115
B)125
C)135
D)150
Answer:
B; 125
Step-by-step explanation:
45% of 500 is 225. 20% of 500 is 100
225 - 100 = 125
Hope this helps :)
Answer:
B)125
Step-by-step explanation:
i'm just guessing since i don't know the answer. I hope it's right
I NEED HELP QUICK PLEASE HELP
State, in a complete sentence, whether Ordered Pair (3,5) a solution to the equation 6x - 3y = 4.
Answer:
6x3-3x5 would be the same as 18-15 which is equal to 3 so 3,5 would not be a solution to the equation
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
This is only right if I know what ordered pairs are, so if this is wrong uh sorry
x = 3
y = 5
6 x 3 = 18
3 x 5 = 15
18 - 15 = 3
Solve. Move a number to each box to make the equation true.
2. 4. 5. 7. 10. 11.
Answer:
[tex]5~2/5[/tex]
Step-by-step explanation:
Let's try to convert it to a single mixed number.
[tex]2~3/5+2~4/5=2+3/5+2+4/5=2+2+3/5+4/5=4+7/5=4+1+2/5=5+2/5=5~2/5[/tex]
So, the answer is [tex]\boxed{5~2/5}[/tex]
Brainliest + 50 points for answer
Answer:
A) 4
Multiply first cause it’s in the parentheses. To multiply fractions you go straight across
1/2 x 3/8
1 x 3 = 3
2 x 8 = 16
So you get
3/16
When dividing fractions you have to flip the second fraction and multiply the same.
So 3/4 divided by 3/16
Flip 3/16 to 16/3
So now
3/4 x 16/3
16 x 3 = 48
4 x 3 = 12
48/12
Simplified is 4
Step-by-step explanation:
Express the following in simplest a + bi form.
root 9+ root -36
A. -9i
B. 3-6i
C. 3+6i
D. 9i
ANSWER C
Answer:
there is no real solution
Step-by-step explanation:
There is no number that, when squared, produces a negative value. A negative multiplied by a negative gives a positive, and a positive times a positive gives a positive. You can however have a ± symbol to indicate that the root of 36 could be either positive or negative
4
3
1
-5 -4 3.-2.-1
2
1
13
- 2
-3
-4
1-5
Find the slope of the line graphed.
Answer:
2/5
Step-by-step explanation:
cuz
Question po
In an auditorium, a charity show is conducted in order to raise at least $3,000. The auditorium can
accommodate up to 180 spectators. Tickets cost $12 for students and $20 for adults. Identify the system of
inequalities and the corresponding graph that determine whether the charity will reach its goal.
If the number of adults is more than or equal to 105, then the goal is achieved otherwise not achieved.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
In an auditorium, a charity show is conducted in order to raise at least $3,000.
The auditorium can accommodate up to 180 spectators.
Tickets cost $12 for students and $20 for adults.
Let x be the number of students and y be the number of adults. Then we have
x + y = 180
12x + 20y ≥ 3000
By solving, equations 1 and 2. Then we have
x = 75 and y = 105
If the number of adults is more than or equal to 105, then the goal is achieved otherwise not achieved.
The graph is given below.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
find the volume and surface area of prism
Follow up from the attachment.
Figure 2
Surface area:319cm²
Volume:184cm²
Describe and correct the error in evaluating the expression. -10^2 = 100
Answer:
-10² = -100
Step-by-step explanation:
The error in the evaluation occurred when the negative base (which is -10) was squared altogether outside of the parenthesis. (-10²) still results in -100.
The only time that the result will produce a positive 100 is when you square -10 this way: (-10)² = 100 because the negative sign is included with the squaring of base through the parenthesis.
Hope this helps.
A power in mathematics is defined as the exponent to which a whole number is raised.
There is no error in evaluating the expression because [tex]-10^{2} = 100[/tex]
When multiplying two negative numbers, their negative signs tend to cancel out
-a x - a = [tex]a^{2}[/tex]
The power for a is given as 2
To solve the above question:
[tex]-10^{2}[/tex]
This can be written as:
-10 x -10
= 100
Therefore, there was no error in the evaluation of the expression.
because [tex]-10^{2} = 100[/tex]
To learn more, visit the link below:
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Solve the following:
Answer:x= 3/2 or -4 or 5
Step-by-step explanation:
Solve z=sh/s+h for s
Answer:
[tex]\displaystyle s = \frac{hz}{h-z}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle z = \frac{sh}{s+h}[/tex]
And we want to solve it for s.
First, we can multiply both sides by the denominator:
[tex]\displaystyle z(s+h) = sh[/tex]
Distribute:
[tex]\displaystyle sz + hz = sh[/tex]
Subtract hz and sh from both sides:
[tex]\displaystyle sz - sh = -hz[/tex]
Factor:
[tex]\displaystyle s(z-h) = -hz[/tex]
And divide. Hence:
[tex]\displaystyle s = \frac{-hz}{z-h} = - \frac{hz}{z-h} = \frac{hz}{h-z}[/tex]
Any one of the above three forms are correct, although the third form is preferred because it omits the additional negative.
Which expression is equivalent to 27x3 + 125?
-)
A)
(3x - 5)(9x2 – 15x + 25)
B)
(3x - 5)(9x2 + 15x – 25)
0
(3x + 5)(9x2 - 15x + 25)
D)
(3x + 5)(9x2 + 15x – 25)
I need help solving this please
Answer:
your answer would be C hope it helps
what is 3 +3 divded by 4
Answer:3/2
Step-by-step explanation: 3+3/4
6/4=3/2
Answer:
1.5
Step-by-step explanation:
3+3=6
6/4 =1.5
Which table represents a linear function?
Answer:Well, a linear function is proportional, a straight line (on a graph). And the numbers must not have the same answer. For instance, if the X input is 5, and the Y output is 7. And then another X input is 5, and the Y output is 8, that's non-linear.
So, the Answer would be the third graph. This is because the X values are steadily increasing, and so are the Y values.
For the X and Y values, for each time X increases by 1, Y increases by -8. This is, linear because both sides are constantly and evenly increasing.
I don't have a lot of time this is about to be overdue
What are the terms in the expression 2d + 7 + 5f?
2, 7, and 5
d and f
2 and 5
2d, 7, and 5f
Answer:
• d and f
Step-by-step explanation:
• take an example of;
→ ax + by + 1
a and b are coefficientsx and y are terms1 is a constant[tex].[/tex]
A girl is padaling her blcycle at a velocily of 0.10 km/min. How far will she travel in two hours?
Answer:
12 km
Step-by-step explanation:
0.10 km = 1 minute
X = 120 minutes
(0.10)*(120) = 12
whats 3+6÷2
PLEASE EXPLAIN
Answer:
6
Step-by-step explanation:
6 devide 2 is 3. 3 plus 3 is 6
Answer:6
Step-by-step explanation: It is solved by BODMAS
BODMAS is a code which means
B= brackets
O=of(*)
D=division
M=multiplication
A=addition
S=subtraction
So first of all 6 divide by 2 then add 3 you will get answer 6
if f(x)=2x−4 and g(x)=x2−4x, find the value. g(2)
Answer:
g(2)=2*2-4*2
g(2)=4-8
g(2)=4
Step-by-step explanation:
using the remainder theorem which quotient has a remainder of 20?
Answer:
D
Step-by-step explanation:
When a polynomial f(x) is divided by (x - a) then remainder is f(a)
A
divided by (x + 4 ), then a = - 4
[tex](-4)^{4}[/tex] - 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20
B
divided by (x - 2), then a = 2
3(2)³ + 7(2)² + 5(2) + 2
= 3(8) + 7(4) + 10 + 2
= 24 + 28 + 12 = = 64 ≠ 20
C
divided by (x + 5) , then a = - 5
(- 5)³ + 5(- 5)² - 4(- 5) + 6
= - 125 + 125 + 20 + 6 = 26 ≠ 20
D
divided by (x - 2), then a = 2
3[tex](2)^{4}[/tex] - 5(2)³ + 5(2) + 2
= 3(16) - 5(8) + 10 + 2
= 48 - 40 + 12 = 20 ← Remainder of 20
Answer:
(3x^(4)-5x^(3)+5x+2)-:(x-2)
Step-by-step explanation:
Plato/Edmentum
Question is in the picture. please help! :)
Jacob and his team start at the 45 yard line but they get a flag and have to go back 15 yards. The next play Jacob ran the ball 12 yards before getting tackled. How many yards does Jacob's team have to go to get to the touchdown zone?
Need help . Explain if you can . The options are
Additive property of length
All right angles are congruent
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical angle theorem
9514 1404 393
Answer:
Definition of midpoint
Step-by-step explanation:
The statement you're trying to justify is one that relates two line segments. (It says they're congruent.) This does not involve angles or triangles, and no addition of length is involved. The only reasonable choice on the list (and the correct one) is ...
Definition of midpoint
__
A midpoint is a point that divides a line segment into two congruent parts. Since W is said to be the midpoint (given), it must divide UV such that UW ≅ VW, the statement we're trying to justify.
What is 329*56 divided by 21
Answer:
The answer is 877.333333333
Answer:
877.333333333
Step-by-step explanation:
329*56 divided by 21 = 877.333333333
1 1/2 x 2 1/6 in a simple form
Answer:
1
1
2
+
2
1
6
Convert
1
1
2
to an improper fraction.
Tap for more steps...
3
2
+
2
1
6
Convert
2
1
6
to an improper fraction.
Tap for more steps...
3
2
+
13
6
To write
3
2
as a fraction with a common denominator, multiply by
3
3
.
3
2
⋅
3
3
+
13
6
Write each expression with a common denominator of
6
, by multiplying each by an appropriate factor of
1
.
Tap for more steps...
3
⋅
3
6
+
13
6
Combine the numerators over the common denominator.
3
⋅
3
+
13
6
Simplify the numerator.
Tap for more steps...
22
6
Cancel the common factor of
22
and
6
.
Tap for more steps...
11
3
The result can be shown in multiple forms.
Exact Form:
11
3
Decimal Form:
3.
¯
6
Mixed Number Form:
3
2
3
Step-by-step explanation:
Answer:
3.25 or 3 1/4
Step-by-step explanation:
Convert both fractions into improper fractions: 3/2 * 13/6
Multiply 3/2 and 13/6 together: 39/12
Divide the fraction by 3/3: (39/3) / (12/3)
New fraction: 13/4
The mixed number form: 3 1/4
Decimal form: 3.25