Hello.
In order to find the slope of the given line, we should use the slope formula:
[tex]\mathrm{\displaystyle\frac{y2-y1}{x2-x1}}[/tex]
y₂= the y-coordinate of the second point (6
y₁= the y-coordinate of the first point (-14)
x₂=the x-coordinate of the second point (-10)
x₁=the x-coordinate of the first point (-4)
Let's plug in the values and solve:
[tex]\mathrm{\displaystyle\frac{6-(-14)}{-10-(-4)}=\frac{6+14}{-10+4} =\frac{20}{-6} =-\frac{20}{6} =-\frac{10}{3} }[/tex]
Answer:
[tex]\Large\boxed{\sf{\displaystyle-\frac{10}{3} }}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Select the correct answer. Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(7) = -1 B. g(0) = 2 C. g(-4) = -11 D. g(-13) = 20
Answer:
The correct option is;
D. g(-13) = 20
Step-by-step explanation:
The given information are;
The domain of the function, g is given as -20 ≤ x ≤ 5
The range of the function, g(x), is given as -5 ≤ g(x) ≤ 45
g(0) =-2 and g(-9) = 6
Therefore, given that the function increases from -2, to 6 as the input variable decreases from 0 to -9
Therefore, if the variable, x, decrease further, to -13, the function will likely increase further, to about 20, while in the variable, x, increases further, to 7, the function may likely decrease to about -1
Therefore, we can get either;
g(-13) = 20 or g(7) = -1
However, the domain of the function is -20 ≤ x ≤ 5, therefore, 7 is outside the domain, giving g(-13) = 20 as the only statement that could be true
16. A can in the shape of a cylinder has a diameter of 6 centimeters
and a height of 10 centimeters, which measurement is closest to
the total surface area of the can in square centimeters?
Answer:
surface area = 245.04 cm² (nearest tenth)
Step-by-step explanation:
Surface area of a closed cylinder = [tex]2\pi r^2+2\pi rh[/tex]
Given:
diameter = 6 cm ⇒ radius = 3 cmheight = 10 cm⇒ surface area = 2 × [tex]\pi[/tex] × 3² + 2 × [tex]\pi[/tex] × 3 × 10
= 78[tex]\pi[/tex]
= 245.04 cm² (nearest tenth)
Water is flowing into an inverted cone, of diameter and height 30 cm at a rate of 4 litres per minute. How long, in seconds,
will it take to fill the cone?
1st question : volume to be filled in liter ?
V cone = 1/3 x base area x h
= 1/3 x pi x r² x h
= 1/3 x 3,14 x (30:2)² x 30
= 1/3 x 3,14 x 15² x 30
V cone = 7,065 cm3 ≈ 7 dm3 ≈ 7 liters
then
we know 4 liters .............1 minute
we are looking for 7 liters............. n minute
4 x n = 7 x 1
n = 7/4
n = 1,75 min => = 1 min + 0,75x60 = 1 min and 45 sec
anybody know this is a little slow
Answer: -0.1, 0, 0.8, 1.2, 1.6
Step-by-step explanation:
think of numbers on a line with zero in the middle, the numbers would be to the right, positive and inclining, to the left, negative and decreasing, when you throw decimals into the list, you organize them from least to greatest like normal numbers, but the normal numbers are always.
Can someone explain this step by step to me :) thank u
Answer:
b
I don't know what the steps are
Convert the scientific notation to a decimal number
[tex]4 \times {10}^{ - 5} cm[/tex]
Answer:
install socratic it Will give you all answer no kiding
Chris drove his car to the movie theater. The graph below represents Chris's speed over time, from when he left his house to when he arrived at the theater. At which times did Chris most likely stop at a stoplight? A. time = 3 min, time = 10.5 min, time = 12 min B. time = 2 min, time = 11 min C. time = 0 min, time = 21 min D. time = 1.5 min, time = 6 min, time = 14 min
Answer:
B
Step-by-step explanation:
Stopping at a stoplight means that Chris's speed would be zero on the graph. The times that his speed is zero are times t = 0, t = 2 min, t = 11 min, and t = 21 min. Because the graph shows his speed from the time he left his house (at t = 0) to the time he arrived at the theater (at t = 21 min), the most likely times he stopped at stoplights are times t = 2 min and t = 11 min.
The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?
a 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents
b 4 (89.95) + x = 628.35; x = 268 dollars and 55 cents
c 4 x + 89.95 = 628.35; x = 179 dollars and 58 cents
d 4 (89.95) + x = 628.35; x = 538 dollars and 40 cents
|| ▼ Answer ▼ ||
Option (A) 4 x + 89.95 = 628.35; x = 134 dollars and 60 cents
|| ✪ Solution ✪ ||
Total cost of the trip was $628.35, Anja paid $89.95 as a flat fee, and paid extra for the four tooth fillings, the equation that represents this situation is:
[tex]4x+89.95=628.35-- > (1)[/tex]
The solution to equation (1) is as follows:
[tex]4x=628.35-89.95=538.4[/tex]
[tex]x=\frac{538.4}{4} =134.6[/tex]
[tex]x=134.6[/tex]
x = $134 and 60 cents
Conclusion: The answer is Option (a).
Hope this helps!
If you have any queries please ask.
explain the steps in finding the midpoint of the points (-1,2) and (3,-6). The state the midpoint
Answer:
(1, -2)
Step-by-step explanation:
midpoint x = (x₁ + x₂) / 2
midpoint y = (y₁ + y₂) / 2
[tex](\frac{-1 + 3}{2} , \frac{2 + -(6)}{2} )[/tex]
= (1, -2)
The midpoint of the points (-1,2) and (3,-6) is (1, -2).
What is Midpoint?
To find the midpoint of numbers, add two numbers and divide by 2.
Given that;
Two points are (-1,2) and (3,-6).
Now,
Let midpoint of the points (-1,2) and (3,-6) is (x, y)
The value of x = (-1 + 3)/2
= 2/2
= 1
And, The value of y = (2 + (-6))/2
= -4/2
= -2.
Thus, The midpoint of the points (-1,2) and (3,-6) is (1, -2).
Learn more about the midpoints visit:
https://brainly.com/question/18315903
#SPJ5
Factor completely x8 − 81. (x4 − 9)(x4 9) (x2 − 3)(x2 3)(x4 − 9) (x2 − 3)(x2 3)(x4 9) (x2 − 3)(x2 − 3)(x4 − 9).
Answer:
(x² - 3)(x² + 3)([tex]x^{4}[/tex] + 9)
Step-by-step explanation:
[tex]x^{8}[/tex] - 81 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
[tex]x^{8}[/tex] - 81
= ([tex]x^{4}[/tex] )² - 9²
= ([tex]x^{4}[/tex] - 9)([tex]x^{4}[/tex] + 9) ← [tex]x^{4}[/tex] - 9 is also a difference of squares
= (x² - 3)(x² + 3)([tex]x^{4}[/tex] + 9)
Answer:B
Step-by-step explanation:
(x2 − 3)(x2 + 3)(x4 + 9)
Need to know asap please ty
Answer:
-1/4 because it is a negative line and this a negative slope.
Step-by-step explanation: mr clean
Choose the solution(s) of the following system of equations:
x2 + y2 = 6
x2 – y = 6
- no solution
- ( sqrt 6,0)
- ( sqrt 5,0)
- ( sqrt 5, -1)
- infinitely many solutions
- ( -sqrt 6, 0)
- ( -sqrt 5, 1)
- ( -sqrt 5, -1)
THE ANSWER IS
B D F I on edge
Answer: B D F H
Step-by-step explanation:
- no solution no
- ( sqrt 6,0) yes
- ( sqrt 5,0) no
- ( sqrt 5, -1) yes
- infinitely many solutions no
- ( -sqrt 6, 0) yes
- ( -sqrt 5, 1) no
- ( -sqrt 5, -1) yes
simplify the ratio in the simplest form 2.5: 20
Answer:
1:8
Step-by-step explanation:
Answer:
1:8
Step-by-step explanation:
Here , 2.5:20
or 25/10:20
or 25:200(Multiplying by 10)
or 1:8(Dividing both sides with 25)
please i need help. i dont know how to do this and its due tmr
Answer:
B
Step-by-step explanation:
This is because both the denominator and numerator of 3/4 is negative, so the whole fraction is technically negative. Having that symbol ( - ) in front of it also means the whole fraction is negative. It's the same thing.
Samantha's salary is $54,000 per year. Her car payment totals $3,600 0/ per year. What percent of her salary is spent on car payments? Round to the nearest tenth percent. Be sure to include a % sign.
= 3600 / 54000
= 0,06666
x 100
≈ 6,7%
Study the diagram of circle A, where BC is tangent to circle A at point C. Also, BC=3, BA=5, and AC is a radius.
What is the length of the radius, r?
A: 2
B: 4
C: 2.5
D: 1.5
Answer:
the answer is B: 4
Step-by-step explanation:
i have no explanation i just finished the test right now.
Answer:
4
Step-by-step explanation:
Took test and got it right
Question 6 of 10
What happens to a line when the y-intercept is changed? Check all that apply.
A. As the y-intercept decreases, the graph of the line shifts left.
B. As the y-intercept increases, the graph of the line shifts up.
O c. As the y-intercept decreases, the graph of the line shifts down.
D. As the y-intercept increases, the graph of the line shifts right.
E. As the y-intercept increases, the graph of the line gets steeper.
Plz helppp..........
Help ♡? and how many do I shade
Answer:
The product is 6112
because u multiply the numbers together
Step-by-step explanation:
whats the sum of 5 consecutive even numbers is 100
Answer:
16
Step-by-step explanation:
Grace Charges $12 An Hour To Babysit And an Additional $20 for Homework help
Write an Expression that can be used to find the total amount of money Grace makes for an hour
Heres for the essay like I said a lot of editing and rephrasing but it should work
I got a hundred from my teacher.
Imani's rent increased from $560 per month to $600 per month. Her friend, Ariana, had her rent increase
from $825 to 875. Who had the larger percent increase in their rent? Remember to set up your ratios using
the original rent. See Exercise #1 from the lesson if you want to see a similar problem.
Pls send the equation
Answer:
Imani's rent had a higher percent increase
Step-by-step explanation:
A change from 560 to 600 represents a positive change (increase) of 7.1428571429%
A change from 825 to 875 represents a positive change (increase) of 6.0606060606%
Percent change = New - Old /825 × 100
Find the quotient of 3/8 and 4/9
Answer:
27/32
Step-by-step explanation:
Keep it, change it, flip it...
keep the first fraction the same, change the division into a multiplication sign, then flip the numerator and denominator of the second fraction.
It should look like this.
3/8 x 9/4
Solve and you should get 27/32
Mary is designing a logo for her band. She draws the two angles shown
Answer:
B
Step-by-step explanation:
5
is 17/4 a rational number
Answer:
Yes
Step-by-step explanation:
Hope that this helps :)
P.S. tell me if this is wrong
Find the size of angle XYZ. Give your answer to 1 decimal point. Z 13cm X 4cm Y
Using the tangent ratio, the size of angle XYZ, to 1 decimal point is: 72.9°
What is the Tangent Ratio?The tangent ratio is given as, tan ∅ = opposite side/adjacent side of a right triangle.
Thus:
∅ = ∠XYZOpposite side = 13 cmAdjacent side = 4 cmThus:
tan (m∠XYZ) = 13/4
m∠XYZ = tan^-1(13/4)
m∠XYZ = 72.9°
Learn more about tangent ratio on:
https://brainly.com/question/14169279
Simplify plzzzz ill give brainliest
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
The antitoxin was heated to 90ºF before it was given to patients. It was 58º colder when it arrived in Nome. What temperature was that?
Answer:
32°F
Step-by-step explanation:
Temp. = 90°F
Original was 58° less.
90 - 58
= 32°F
30P Find the function/equation check the screenshot to answer
Answer:
the second one
Step-by-step explanation:
(6.72 x 10^9) - (2.01 x 10^9)
Answer:
the answer I got is 4.71 x 10^9