What is the slope-intercept form equation of the line that passes through (5.7) and (8, 22)?
A) y=-5x+18
B) y=5x+18
C) y=5x-18
D) y=-5x-18
Answer:
C . y= 5x -18
Step-by-step explanation:
[tex](5,7) = (x_1 ,y_1) \\ (8,22)=(x_2,y_2)[/tex]
Plug in the values into the following equation
[tex] \frac{y - y _1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
[tex] \frac{y - 7}{x - 5} = \frac{22 - 7}{8 - 5} \\ \frac{y - 7}{x - 5} = \frac{15}{3} [/tex]
Cross Multiply
[tex]3(y - 7) = 15(x - 15) \\ 3y - 21 = 15x - 75[/tex]
Collect like terms and simplify
[tex]3y = 15x - 75 + 21 \\ 3y = 15x - 54[/tex]
Divide through by 3
[tex] \frac{3y}{3} = \frac{15x}{ 3 } - \frac{54}{3} \\ y = 5x - 18[/tex]
A ball is thrown into the air with a velocity of 34 ft/s. It's height in feet after t seconds is given by y=34t-26(t)^2. Find the avg velocity for the time period beginning when t(0)= 3 seconds and lasting for the given time t= .01 seconds: ???
Answer:
The average velocity of the ball at the given time interval is -122.3 ft/s
Step-by-step explanation:
Given;
velocity of the ball, v = 34 ft/s
height of the ball, y = 34t - 26t²
initial time, t₀ = 3 seconds
final time, t = 3 + 0.01 = 3.01 seconds
At t = 3 s
y(3) = 34(3) - 26(3)² = -132
The average velocity of the ball in ft/s is given as;
[tex]V_{avg} = \frac{y(3.01)-y(3)}{3.01 -3}\\\\V_{avg} = \frac{34(3.01)-26(3.01)^2-y(3)}{3.01 -3}\\\\V_{avg} = \frac{-133.223-y(3)}{0.01}\\\\V_{avg} = \frac{-133.223-(-132)}{0.01}\\\\V_{avg} =\frac{-1.223}{0.01}\\\\V_{avg} = -122.3 \ ft/s[/tex]
Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s
Is 80 a rational number
Answer:
Yes
Step-by-step explanation:
Yes, 80 can be written in the form a / b where a and b are integers. In this case, a = 80 and b = 1. Plus, 80 itself is an integer and all integers are rational numbers.
Solve for x (5x-17)+(3x-11)=180
Answer:
Step-by-step explanation:
5x - 17 + 3x - 11 = 180
8x - 28 = 180
8x = 208
x = 26
Answer:
The answer would be x=26
Step-by-step explanation:
can you simplify a chain of if then statements? if so what do we call it?
A conditional statement (also called an If-Then Statement) is a statement with a hypothesis followed by a conclusion. ... The hypothesis is the first, or “if,” part of a conditional statement. The conclusion is the second, or “then,” part of a conditional statement.
Can someone answer this
Answer:
y=2/3-4
Step-by-step explanation:
Which graph represents the solution to the inequality y is less than or equal to 1/2x -4
Answer:
the graph you are looking for should look like this!
Step-by-step explanation:
hope this helped!
(hint* if you are ever in trouble use desmos! its a free online graphing calculator and HELPS SOO much! its what i used to give you the answer, i just typed in the inequality and it tells you the answer)
The shaded region represents the possible solutions of the inequality.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is the inequality -
y ≤ (1/2)x - 4
Refer to the graph of the inequality attached. It is showing the inequality being plotted. The shaded region represents the possible solutions of the inequality.
Therefore, the shaded region represents the possible solutions of the inequality.
To solve more questions on equations, expressions and polynomials, visit the link below -
brainly.com/question/17421223
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Steve biked 8.4 miles, which was 1.8 miles fewer than Rhonda biked. He wants to write and solve an equation to find r, the number of miles that Rhonda biked. Which are part of the solution? Check all that apply.
Answer: The correct answer would be B,D,E
Step-by-step explanation: I AM TAKING THE TEST
3^2 • 3^-8 • 3^0
i need help with this asap
Steps to solve:
3^2 • 3^-8 • 3^0
~Apple exponent rule [ a^b * a^c = a^b+c ]
3^2-8+0
~Simplify
3^-6
~Use exponent rule [ a^-b = 1/a^b ]
1/3^6
~Simplify
1/729
Best of Luck!
Answer:
3^-6 which equals 1/3^6
Step-by-step explanation:
all you do is add the exponents.
3^0 is equal to 0 so that one doesn't matter, you just cross it out.
now you're left with 3^2x3^-8
so add 2+(-8) which is -6 so the answer is: 3^-6
since the exponent is negative, you put a 1 above the problem, making it a fraction: 1/3^-6
4230 estimated please ??????????????
Answer:4200
Step-by-step explanation:
Use the graph of the floor function to complete the statements. Over the interval , y = 2. For an input value of –1.5, the corresponding output value is
Answer:
over the interval [2,3)
for an input value of 1.5, the corresponding output value is -2
Step-by-step explanation:
The balance of your savings account is 208$ more than it was 4 years ago. The current balance is $4709. What was the balance 4 years ago?
Answer:
$4501
Step-by-step explanation:
Since we are already given the amount gained in 4 years, we simply need to subtract the same amount to find the balance 4 years ago.
4709-208=4501
$4501
Round 452,489 to the nearest thousand.
O 500,000
0 453,000
450.000
452.000
Combine like terms.
2y2 – 5+1 + 2y2 – 6y2 – 3 – 4y
ASAP
someone help please
Answer:
-2y2 - 4y - 7
Step-by-step explanation:
2y2 + 2y2 - 6y2 - 4y - 5 - 3 + 1
4y2 - 6y2 - 4y - 8 + 1
-2y2 - 4y - 7
Answer:
3x 2 + 19 i think thats the answerWrite (-infinity, -3) as an inequality.
X <-3
X > -3
x <_ -3
X >_ -3
Answer:
x < - 3
Step-by-step explanation:
Given the interval (- ∞, - 3 )
The parenthesis on both ends indicates that x cannot equal the end values.
Thus
x < - 3 represents the interval
Naja is paid p dollars per hour she works. For every hour she works over 40 hours, she is paid time and a half which means she is paid 1.5 times her normal hourly rate. She worked 50 hours last week. The following is a model of this situation.
Answer:
40p + 10 (1.5p)
Step-by-step explanation:
= 40 · p + (50-40) · (1.5p)
= 40p + 10 (1.5p)
Simplify 2squareroot -19+44
-19+44
-361+1936
1575
therefore 2 squareroot-19+44
=1575
6x>-18 HELPPPPP!!! PLEASEEEE
Answer:
Hey there!
6x>-18
Divide by 6 on both sides
x>-3
Let me know if this helps :)
3km: 500m in lowest terms.
Answer:
6:1Step-by-step explanation:
To write 3km: 500m in its lowest terms. we need to make sure the units are the same.
Converting 3km to metres:
Since 1km = 1000m
3km = (3*1000)m
3km = 3000m
The expression becomes 3000m:500m
3000m:500m = 3000/500
3000m:500m = 6*500/500*1
3000m:500m = 6/1
Hence 3km: 500m in its lowest term is 6:1
Pls help me quickly
Answer:
[tex] {9}^{3} [/tex]
Step-by-step explanation:
[tex]9 \times 9 \times 9 \\ = {9}^{3} [/tex]
(01.05 MC)Which fraction is equivalent to 2 over negative 6?
Answer:
1/(-3)
Step-by-step explanation:
Simplify the following:
2/(-6)
Hint: | Reduce 2/(-6) to lowest terms. Start by finding the GCD of 2 and -6.
The gcd of 2 and -6 is 2, so 2/(-6) = (2×1)/(2 (-3)) = 2/2×1/(-3) = 1/(-3):
Answer: 1/(-3)
86.23 ounces -67.74 ounces
Answer:
18.49 ounces
Step-by-step explanation:
HELP ASAP PLEASE
List the numbers from LEAST to GREATEST
22/25, 8/9, and 0.8888
Answer:
I think its 22/25 , 0.8888, and then 8/9
Step-by-step explanation:
first convert them to decimals
can i get brainliest
What types of symmetry does a triangle have
Answer:
Equilateral Triangle, Isosceles Triangle, Scalene Triangle
Step-by-step explanation:
Equilateral: 3 lines of symmetry
Isosceles: 1 line of symmetry
Scalene: no lines of symmetry
(a 2− b) ÷ 6; use a = 5, and b = 1
Find a pattern for each sequence. Use the pattern to show the next two terms.
2, 6, 7, 21, 22, 66, 67, ..., ...
*urgent*
What is the correct classification for JML?
Answer:
Option (2)
Step-by-step explanation:
From the picture attached,
m∠JKL = m∠JMK + m∠KML
Since, m∠KML + m∠HML = 180° [Linear pair of the angles]
m∠HML = 180° - m∠KML
= 180° - 132°
= 48°
Therefore, m∠JML = 41° + 48°
= 89°
Since measure of angle JML is less than 90°, by definition of an acute angle it will be an acute angle.
Option (2) will be the answer.
Answer:
The answer is acute bru
Step-by-step explanation:
what is r to the power of 5 times r to the power of 9
Answer:
r^14
multiply r^5xr^9 by adding the exponents
HELP PLEASE this is for math
Answer:
70
Step-by-step explanation:
Step 1:
a² + b² = c²
Step 2:
56² + 42² = 4900
Step 3:
4900 ÷ 70 = 70
Answer:
70
Hope This Helps :)
Please help me I’ll mark brainliest for whoever answers
Step two is wrong, the answer would have been 9 instead of 8.
Answer:
Step 2 is incorrect
Step-by-step explanation:
8d = 72
Divide each side by 8
8d/8 = 72/8
d = 9
Step 2 is incorrect