Explanation:
Let's find the slope of the line through those two points.
[tex](x_1,y_1) = (2,1) \text{ and } (x_2,y_2) = (4,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 1}{4 - 2}\\\\m = \frac{8}{2}\\\\m = 4\\\\[/tex]
Then we can apply point-slope form to transform it into slope-intercept form.
[tex]y-y_1 = m(x - x_1)\\\\y-1 = 4(x - 2)\\\\y-1 = 4x - 8\\\\y = 4x - 8+1\\\\y = 4x - 7\\\\[/tex]
Answer:
let point A be (2,1) and
B be (4,9)
Now,Slope =y2-y1-----------------
x2-x1= 9-1---------
4-2=8-----
2=4Given the function graphed below, find the average rate of change over the
interval x= 2 to x = 4. I’ve been stuck on this question for a little bit . Can’t seem to wrap my head around it
Answer:
Approximately 0.3.
Step-by-step explanation:
I can only estimate the value of the function when x = 2. it looks like it's about 2.4.
Average rate of change = [(f4) - f(2)] / (4 - 2)
= (3 - 2.4) / 2
= 0.6/2
= 0.3.
a. Does the height of the water increase by the same
amount each minute? Explain how you know.
minutes
height
0
150
SO
1
150.5
2
151
b. Does the height of the water increase by the same
factor each minute? Explain how you know.
3
151.5
From the table we can conclude that after 2 minutes the height of the water is increased by 4.
Example: In minute 2 it was 8 inches, in minute 4 it was 12 inches. (12-8=4)
This means that if the height of the water is increased by 4 inches for 2 minutes, then for 1 minute is increased 4/2=2 inches.
The following statement best describes how the slope relates to the height of the water in the pool:
The height of the water increases 2 inches per minute.
If cos x = −1/4 and csc x < 0, find cot x/2
The value of cot x/2 is √3/√5.
What is Trigonometry?Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.
given:
cos x=-1/4
sin x= √15/4
cosec x= 4/√15
and, cot x= -1/√15
Now, cot x/2= cosec x+ cot x
= 4/√15-1/√15
= 3/√15
= √3/√5
Hence, the value of cot x/2 is √3/√5.
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If rosetta sells her house and pays off the mortgage, how much should she receive (assuming there are no other costs associated with selling the house)? $42,000 $50,000 $52,000 $60,000
Based on the amount that Rosetta sells her house and the mortgage she had before she did, the amount she will recieve is $50,000.
How much will Rosetta receive?Rosetta owes a total of $150,000 for her mortgage payment and was able to sell the house for $200,000.
This means that the amount she will recieve is:
= Selling price - Mortgage
= 200,000 - 150,000
= $50,000
In conclusion, option B is correct.
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Answer:
B. $50,000
Step-by-step explanation:
which is bigger -32 or 13.8?
This dot plot shows the number of runs scored by the Yellow
Jackets in their last 12 baseball games.
I need help! Find the measure of all sides. Round to the nearest tenth.
Answer:
[tex]let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(16.8) = \frac{2.7}{x} \\ x = \frac{2.7}{0.30 } \\ x = 9 \\ now \: by \: using \: pythagoras \: theorem \: \\ h = \sqrt{p {}^{2} } + b {}^{2} \\ h = \sqrt{ {2.7}^{2} } + {9 }^{2} \\ h = 9.396[/tex]
PLEASE HELP!!!!!!!!!!!!!
no lo sé, pero como necesito puntos, ¿sí?
Find the length of z. Round your answer to the nearest tenth.
Winston is making steaks for his 7 friends. If each steak is 7.2 oz, how much steak is Winston making?
Answer:
3.15 lbs or 50.4 oz
Step-by-step explanation:
multiply steak oz by the number of steaks
7.2 * 7 = 50.4
to convert oz to lbs divide by 16
50.4/16 = 3.15
your answer is 50.4 oz or 3.15 lbs
hope this helps:)
What is the median in the box plot?
Answer:
The answer is 76.
Step-by-step explanation:
The median would be the middle number in a box and whisker plot.
Question 1 of 10
List all the factors of 34 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer here
I
SUBMIT
Answer:
Hope the picture will help you.....................
2 people can plough a field in 5 hours how long would it take 3 people?
Answer:
7 hours and 30 minutes
Step-by-step explanation:
because if you divide the 5 hours by the 2 people you get 2 hours and 30 minutes so if you add one more person you are basically adding 2 hours and 30 minutes so if u add that 2 hours and 30 minutes to the 5 hours you will get 7 hours and 30 minutes
2. Write each of the following in set builder form. A = [5, 10, 15,20]
Answer:
A={x:x is a multiple of five }
Find the distance between the points (2, 8) and (-1, 9).
1.√10
2. √2
3.2√3
Answer:
1.
Step-by-step explanation:
distance = √(X2 - X1)^2 + (Y2 - Y1)^2
= √(-1 - 2)^2 + (9 - 8)^2
= √(-3)^2 + (1)^2
= √ 9 + 1
= √10
Answer:The distance is √10
Step-by-step explanation:
0
1
2
3
7
8
9
10
4 5
+
6
+
+
Which of the following could be the number shown on the number line?
O A. √24
B. 27
C. 20
O D. 26
Answer:
A
Step-by-step explanation:
because the point number are segment
Determine the justification for the steps from the derivation of the quadratic formula. justification of step a: justification of step b:
The justification of step a is common denominator and the justification of step b is multiplication property of equality
How to determine the justifications?The equation is given as:
[tex]a(x + \frac{b}{2a})^2 = -c + \frac{b^2}{4a}[/tex]
Take the LCM
This gives
[tex]a(x + \frac{b}{2a})^2 = \frac{-4ac + b^2}{4a}[/tex]
The above represents a common denominator.
Multiply both sides by 4a
[tex]4a^2(x + \frac{b}{2a})^2 = -4ac + b^2[/tex]
The above represents the multiplication property
Hence, the justifications are common denominator and multiplication property of equality
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Step A: common denominator
Step B: multiplication property of equality
Is 1000 a sequence in 50 65 80 95
Answer: yes
Step-by-step explanation:
it’s the 41st term
What is a diameter and what is a radius?
Radius is the length of the line segment from the center of the circle to an endpoint on the circle and diameter is twice the length of the radius of the circle.
If you knew that two angles complemantary and were given the measure of one of those angles would you be able to find the measurement of the other angles
Answer: Yes
Step-by-step explanation:
You could subtract the measure of the first angle from 90 degres to find the measure of the second angle.
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP pls
Answer:
28.27
Step-by-step explanation: used to do acellus too
Work out the circumference of this circle.
Take to be 3.142 and write down all the digits given by your calculator,
13 cm
diameter= 13 cm
to find:the circumference of the given circle.
solution:[tex]c = \pi \: d[/tex]
[tex]c = 3.142 \times \: d[/tex]
[tex]c = 3.142 \times 13[/tex]
[tex]c = 40.846 \: cm[/tex]
hence, the circumference of the given circle is 40.846 cm
First, we'll have to change the diameter to radius by dividing the diameter by 2.
[tex]\large\boxed{Formula: r= \frac{d}{2}}[/tex]
So we'll have to divide 13 by 2.
Substitute the values according to the formula.
[tex]r= \frac{13}{2}[/tex]
[tex]\bold{6.5 \: cm}[/tex]
Now, we can find the circumference.
[tex]\large\boxed{C= 2\pi{r}}[/tex]
Substitute the values according to the formula.
[tex]C= 2\times\pi\times6.5[/tex]
Calculate value:
[tex]\large\boxed{C= 40.8407045 \: cm}[/tex]
Therefore, the circumference of the given circle is 40.8407045 centimeters.
The graph below shows the solution to which system of inequalities?
O A. x< 1 and yz x
B. x< 1 and y>x
C. y≤ 1 and y>x
D. y< 1 and yzx
Answer:
y < 1 and y > x
Step-by-step explanation:
Let's find each equation without any inequalities first.
We have a dotted line at y = 1
Now, a dotted line represents exclusivity, and hence; it should not include the = sign
Therefore, the answer is y < 1 and y > x
subtract the quotient of 15 divided by 3 from the sum of 33 and 7
Answer:
(33+7)-(15/3) = 35
Step-by-step explanation:
35
Step-by-step explanation:
fancy way of saying (33+7) - (15/3)
33 + 7 = 40
15 / 3 = 5
40 - 5 = 35
Q. What is the equation of this line?
A: x=5
B: y=5x
C: x=-5
D: y=5
Answer:
A) x=5
The sideways line is always x, and the line going up is y, so since the line is only touching the x-intercept you just count where the line is, so x=5
Step-by-step explanation:
I'm a bit stuck, I need help
Let's consider all the trig identities, to help us with the problem:
⇒ (look at the attached image for help with that)
After looking at all the trig identity, let's look at the problem given to us:
⇒ cos(θ) = [tex]\frac{5}{13}[/tex]
⇒ we know that sec(θ) = 1 / cos(θ) = 1 / (5/13) = 13/5
Thus: sec(θ) = 13/5, which just so happens to be Choice (D)
Answer: sec(θ) = 13/5 or Choice (D)
Hope that helps!
1. Find the synonym in this sentence that hints at the meaning of the underlined word:
Nelly was astounded-the party was a complete surprise.
surprise
party
complete
Nelly
Answer:
Step-by-step explanation:
Surprise! It is the closest to the noun " astounded "
Answer:
surprise
Step-by-step explanation:
1-4) Choose Yes or No to tell if the fraction 3/4 will make each equation true. (You are putting the 3/4 in each blank and multiplying to see if it will give you the product given.)
In january, desmond begins saving $25 per month for a used car. each month, he is able to save $5 more than the previous month. after how many months will desmond first have enough money to purchase a $3,000 used car? 14 21 31 35
Answer:
After 31 months, Desmond first have enough money to purchase a used car.
Step-by-step explanation:
Since we have given that
Saving per month for a used car = $25
Each month he is able to save = $5 more than the previous month
If we have $3000 to purchase a used car.
So, we need to find the number of months Desmond to have enough money.
Our sequence will be
25,30,35,..............3000
So, it becomes,
Months can't be negative, So,
n = 31 months.
Hence, After 31 months, Desmond first have enough money to purchase a used car.
Answer:
C. 31
Step-by-step explanation:
Jorge is an administrative assistant. He was involved in a serious car accident and broke both wrists. Which of his
insurance plans will provide him with income while he is out of work recovering for six weeks?
A)short-term disability
B)workers' compensation
C)long-term disability insurance
D)medical insurance
Answer:
Medical Insurance
Step-by-step explanation:
Answer:
Medical Insurance
Step-by-step explanation:
serious car accident and broke both wrists.
