Answer:
[tex]\displaystyle d = \sqrt{89}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-6, -5)
Point (2, 0)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]\displaystyle d = \sqrt{(2+6)^2+(0+5)^2}[/tex]Add: [tex]\displaystyle d = \sqrt{(8)^2+(5)^2}[/tex]Exponents: [tex]\displaystyle d = \sqrt{64+25}[/tex]Add: [tex]\displaystyle d = \sqrt{89}[/tex]
A line passes through the points (-1, -8) and (3, 12). Compute the slope of
the line. Show your steps. *
Your answer
This is a required question
A line passes through the points (-1, -8) and (3, 12). Write the equation for
the line that passes through these points in the form y=mx + b. (Hint: you
already computed m in the previous problem.) *
Answer:
y = 5x - 3
Step-by-step explanation:
The Slope of a Line
Suppose it's given a line that passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The equation of the line in slope-intercept form is:
y=mx+b
Where:
m = slope
b = y-intercept.
We are given the points (-1,-8) and (3,12). Compute the slope:
[tex]\displaystyle m=\frac{12+8}{3+1}=\frac{20}{4}=5[/tex]
The equation of the line now has one known value:
y = 5x + b
Let's use the point (3,12) to find the value of b:
12 = 5(3) + b = 15 + b
Solving for b:
b = 12 - 15 = -3
The required equation of the line is:
y = 5x - 3
Help me pleaaase!!!!!!!
Answer: The answer is D.
Step-by-step explanation: The bird decreases its heights by 12 feet which is what the question is asking.
What number could be added to the product of (-7)(-6) so that the sum is equal to 272
Answer:
(-7)(-6)=42
272-42=230
Step-by-step explanation:
230 is the answer
What is
12а + 7x - За – 2х
Answer:
=12a-3a+7x-2x
=9a+5x
This is the answer.
Hope it helps you..
Answer
=12a+7x-3a-2x
=9a+7x-2x
=9a+5x
Explanation
This is the ans. hope you like it....
How many ways can Patricia choose 4 pizza toppings from a menu of 8 toppings if each topping can only be chosen once
Answer: 70
======================================================
Explanation:
Consider we have four slots A, B, C, D.
We have 8 choices for slot A, 7 for B, 6 for C, and 5 for D.
We count down because each time we can't reuse whatever topping was picked earlier.
Multiplying out those values gives: 8*7*6*5 = 1680
There are 1680 permutations. This would be the answer if order mattered, but it doesn't matter.
Since order doesn't matter, we have to divide by 4! = 4*3*2*1 = 24. This is the number of ways to arrange any group of 4 items.
We get 1680/24 = 70 as the final answer
--------------------
Another way to get the answer is to apply the nCr combination formula
[tex]_nC_r = \frac{n!}{r!*(n-r)!}[/tex]
with n = 8 and r = 4.
Another alternative is to use Pascal's Triangle. You would look in the row that starts with 1,8,... and count out 5 slots (because r starts at r = 0) to arrive at 70.
if 50% is 10 what is 100%
Answer:
20
Step-by-step explanation:
Tanner's employer pays 60% of his medical insurance. If the insurance costs $40
per week. How much Tanner and his employer pay for the entire year?
Answer:
Tanner's employer pays $1251.43 a year and tanner pays $834.29
Step-by-step explanation:
hi savina if u not give reply so I leave brainly
Answer:hope she/he replies
Step-by-step explanation:
A ladder rests against the top of a wall. The head of a person 6 feet tall just touches the ladder the person is 9' from the wall and 6' from the foot of the ladder. find the height of the wall
Answer:
15 ft
Step-by-step explanation:
Let the height of the wall be represented bad x
Applying the theorem of similarity, we would have the following equation:
[tex] \frac{x}{6} = \frac{9 + 6}{6} [/tex]
[tex] \frac{x}{6} = \frac{15}{6} [/tex]
[tex] \frac{x}{6} = \frac{5}{2} [/tex]
Cross multiply
[tex] x*2 = 5*6 [/tex]
2x = 30
Divide both sides by 2
x = 15
Thus, the height of the wall = 15 ft
In Progress
What is an equation in slope-intercept form of the line that passes through the points (-2,-2) and (1,7)?
A.
y
C-
B. y = 3.0 +4
=
+
olos
O D. = 3.c – 2
Answer: y= D.3x-2
Step-by-step explanation:
11
10
8
7
6
4
2
1
-12-11-10-9-8
6-548-21
1 2 3 4 5 6 7 8 9 10 12
-3
4
-5
6
7
8
- 10
- 12
Answer: -502
Step-by-step explanation: I think
Answer:-502
Step-by-step explanation:
hope this helps
have a great day!
The American Association of Individual Investors (AAII) polls it subscribers on a weekly basis to determine the number who are bullish, bearish, or neutral on the short term prospects for the stock market. Their findings for the week ending March 2, 2014, are as follows: Bullish 409 Neutral 299 Bearish 291 Develop a point estimate of the following population parameters. The proportion of all AAII subscribers who are bullish on the stock market.
Answer: The proportion of all AAII subscribers who are bullish on the stock market is 0.4094
Step-by-step explanation:
Given the data in the question;
The total number of American Association of Individual Investors in stock market are;
409 + 299 + 291 = 999
The proportion of all AAII subscribers who are bullish on the stock market will be:
Market = 409 / 999
= 0.4094
Therefore, The proportion of all AAII subscribers who are bullish on the stock market is 0.4094
Determine whether the points on the line rise, fall, are horizontal, or vertical.
(2, -4) and (4, -1)
Answer:
The points rise.
Step-by-step explanation:
Points on a line have the following format: (x,y)
They rise if: As x increases, so does y.
They fall if: As x increases, y decreases.
They are horizontal if: As x increases, y remains constant.
They are vertical if: x is constant as y changes.
In this question:
Points (2,-4) and (4,-1).
x increases from 2 to 4.
y increases from -4 to -1.
That is, both increase, so the points rise.
halp meh pls :'(
(screenshot below)
Answer:
the correct answer is answer choixe number 1
The two triangles shown are congruent: AFHG=AJKL. Based on this information,
which of the following is a true statement?
A) HELL
B) JK= FG
OC) GEL
D
Multiply. Express your answer in simplest form.
Answer:
Bet
Step-by-step explanation:
It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.
On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?
That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)
Determine the input value for which the statement
f(x) = g(x) is true.
From the graph, the input value is approximately .
f(x) = 3 and g(x) = x – 2
3 = x – 2
5 = x
The x-value at which the two functions’ values are equal is .
Answer:
The x-value at which the two functions' values are equal is 5.
Step-by-step explanation:
Let [tex]f(x) = 3[/tex] and [tex]g(x) = x-2[/tex], if [tex]f(x) = g(x)[/tex], then:
[tex]x - 2 = 3[/tex]
[tex]x = 3+2[/tex]
[tex]x = 5[/tex]
The x-value at which the two functions' values are equal is 5.
What is 40/9 as a mixed number
Answer:
4 4/9
Step-by-step explanation:
40÷9=4r4
Therefore:
409=449
Answer:
4 4/9
Step-by-step explanation:
Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
Hope this helps :)
What is 5-2(4a+1)+3a=13
Step-by-step explanation:
5-2(4a+1)+3a=13
5(4a+1)-2(4a+1)+3a=13
20a+5-8a-2+3a=13
20a-8a+3a+5-2=13
15a-3=13
15a=13+3
a=16
15
hope it helps.
The triangle is rotated 90 degrees clockwise around the pount (0,0)
Answer:
(2,6)
Step-by-step explanation:
Option:B
The triangle is rotated 90 degree clockwise around the point (0,0). The point is (-6,2) is made to rotate. The image so formed is at the point (2,6).
Plz help me will put Brainiest
The maximum weight allowed per car on The Wildcat carnival ride is 297 pounds. Your friend weighs 99 pounds.
able to ride in a car together, how much can you weigh? Write and solve an inequality.
X + 99 S 198, at most 297 pounds
X + 99 5 297, at most 198 pounds
X-99 < 297, at most 99 pounds
x + 198 5 297, at most 99 pounds
Answer:
161 + 60 inequality-lessthanorequalto 221; at most 161 pounds
221 - 60 =161
Step-by-step explanation:
Someone help ASAP PLEASE
Answer: 7 1/2 minutes
Answer:
7.5 mins.
Step-by-step explanation:
We know the unit rate is 1.5 mins for 1 km. So we can just multiply both numbers by 5.
1.5/1 = 7.5/5
It takes a shark 7.5 (7 1/2) minutes to swim 5 km.
Question 1 A rectangular soccer field is 72 meters wide and 105.25 meters long. What is it's AREA? a) What operation (add, subtract, multiply or divide) would you use to solve this? b) How did you know?
Answer:
1. 7578
2. Multiply
3. Because area is equal to length time width.
Step-by-step explanation:
hope this helps
Determine if true. select all that apply
According to your graphing calculator, what is the approximate solution to the trigonometric inequality cox(x)>-7/8 over the interval 0<=x<=2pi radians?
Answer:
0<=x0.7896
0<=x<0.9799
0<=x<0.9870
0<=x<1.2249
Answer:
Its C
Step-by-step explanation:
Got it right on Edge 2022
Plzzzz help you are in a sailboat race. the course is triangular,racing A-B-C- finish. by what angle do the sailboats need to change so that they can make it to the finish line.
It depends they are at the time your asking the question
Answer:
I'm going with the first one
Step-by-step explanation:
Between what two multiples of ten is 328
Answer:
It's between 32 (which is 320) and 33 (which is 330).
Step-by-step explanation:
328 / 10 = 32.8
9.) Is the graph below line your nonlinear?
Answer:
Linear.
Step-by-step explanation:
A linear graph is any straight-line graph. That's a straight line.
Answer:
No
Step-by-step explanation:
This graph is not a non-linear line, in fact, it's a linear line. A non-linear line is a line that is not straight, a line that is curved. And as you can see in this graph, the line is straight which makes it a linear line.
Hope this helped!
I need a little help on this.
Passes through (-4,-5) Slope = -314
Please Helppppp!!!!!!!!!!!!
Answer:
[tex]y=-314x-1261[/tex]
Step-by-step explanation:
When we are writing an equation we have to put it in slope-intercept-form [tex]y=mx+b[/tex]. We already know the slope it's -314, we replace m with the slope. Now we have to find b which is the y-intercept. So what we have to do is plug in the ordered pair into the equation. -4 for x and -5 for y.
[tex]y=mx+b\\-5=-314(-4)+b[/tex]
Now we solve
[tex]-5=-314(-4)+b\\-5= 1256+b\\b=-1261[/tex]
So now that we know everything we need we plug in and....
[tex]y=mx+b\\y=-314x-1261[/tex]
we've got our equation!
Answer:
The line slants upward, so the slope is positive.
