Answer:
The distance between the two points is [tex]\sqrt{85}[/tex] units
Step-by-step explanation:
Let us revise the rule of the distance between two point [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex]
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
∵ We need to find the distance between the two points (8, -7) and (1, -1)
→ Let [tex]x_{1}[/tex] = 8 and [tex]x_{2}[/tex] = 1
→ Let [tex]y_{1}[/tex] = -7 and [tex]y_{2}[/tex] = -1
→ Substitute their values in the rule above
∴ [tex]d=\sqrt{(1-8)^{2}+(-1--7)^{2}}[/tex]
∴ [tex]d=\sqrt{(-7)^{2}+(-1+7)^{2}}[/tex]
∴ [tex]d=\sqrt{49+36}[/tex]
∴ [tex]d=\sqrt{85}[/tex]
→ Simplify the radical
∵ 85 = 5 × 17
→ Both of them are prime numbers
∴ The simplest form of [tex]\sqrt{85}[/tex] is [tex]\sqrt{85}[/tex]
∴ The distance between the two points is [tex]\sqrt{85}[/tex] units
Which equation has a constant of proportionality equal to 3
Answer:
y=3x
Step-by-step explanation:
Mika's rosebush had 24 blooms in the first week of May. This was 80% as many blooms as Tammy's rosebush had during the same period. How many blooms did Tammy's rose bush have?
Which quantity is proportional to 21/28?
Check all that are true.
15/20
314
213
7/14
18/24
Please help me asap
A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
14 3/5 bushels each day. Represent the total change in the number of bushels has for sale after 6 days.
Answer:
He sold 87-3/5 bushels in 6 days , he has 72-2/5 bushels left
Step-by-step explanation:
14-3/5 x 6 = Bushels sold in 6 days
PLEASE HELPPPPPP!!!!!!! [easy]
Answer: d
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
What is the solution to the following equation?
1
—
3 (9-2y) = 5(2 - 3y) - 50
Answer:
y=(-3)
Step-by-step explanation:
Explain how to find the perimeter of a rectangle given the length is (2x - 4) and the width is (4x + 5).
Answer:
12x+2
Step-by-step explanation:
multiply width and length by 2 and add them together
Which statement best describes the intersection of three planes? The planes could form one or two lines. The planes could form one, two, or three lines. The planes will form two lines. The planes could form one, two, or three lines, or they could intersect at exactly one point.
Answer:
fhe planes coukd form ons or two limez
Suppose that tuition at a state college was $3500 per year in 1995 and has been increasing at a rate of $225 per year. Write a prediction equation in slope-intercept form that expresses this information. (Do not space between the numbers and the symbols
Answer:
3500+225x
Step-by-step explanation:
x = years after 1995. 1996 would be x = 1
what is 20x+8 =4÷2 please help
Answer:
- 0.3
Step-by-step explanation:
Step 1:
20x + 8 = 4 ÷ 2 Equation
Step 2:
20x + 8 = 2 Divide
Step 3:
20x = - 6 Subtract 8 on both sides
Step 4:
x = - 6 ÷ 20 Divide
Answer:
x = - 0.3
Hope This Helps :)
Answer:
x = - 3/10
Step-by-step explanation:
Hi !
20x + 8 = 4 : 2
20x = 2 - 8
20x = - 6
x = - 6/20
x = - 3/10
Good luck !
1. twice the square of the sum of a number and 3 is 98.find the number
Answer:
Step-by-step explanation:
Let the number be x.
twice the square of the sum of a number and 3 is expressed as;
2(x+3)²
If the expression is equal to 98, then;
2(x+3)² = 98
divide both sides by 2;
2(x+3)²/2 = 98/2
(x+3)² = 49
square root both sides
√(x+3)² = √49
x+3 = ±7
x = ±7-3
x = 7-3 or -7-3
x = 4 or -10
Hence the number is 4 or -10
The number is -4 or 10
Let n represent the unknown number
The following equation can be used to summarise the information given in the question
2 × n² = 98
The first step to take in order to determine the value of n is to divide both sides of the equation by 2
n² = 98/2
n² = 49
The second step is to determine the square root of both sides of the equation
n =√49
n =-7 or +7
The number = - 7 + 3 = - 4 or 7 + 3 = 10
A similar question was solved here: https://brainly.com/question/18118670?referrer=searchResults
The area of a rectangle can be written as the sum of the areas of all its parts.What is a sum of the areas?
j(x)=−45x+7; j(x)=−5
Answer:
x = 4/15
Step-by-step explanation:
Step 1: Define
j(x) = -45x + 7
j(x) = -5
Step 2: Substitute and Evaluate
-5 = -45x + 7
-12 = -45x
x = 4/15
Help me pleasee......
Answer:
∠ETM is 56.7
Step-by-step explanation:
168.7 - 112
PLEASE MY CLASS ENDS IN 7 MINUTES!!! I DONT WANT TO FAIL!!
Answer:
I think B
Step-by-step explanation:
13.77 times the number of people gives you your answer, so probably C=13.77p
6≥−6(a+2) solve and find the awnser
Answer:
[tex] - 3 \geqslant a[/tex]
Step-by-step explanation:
[tex]6 \geqslant - 6(a + 2)[/tex]
distribute -6 inside the parentheses
[tex]6 \geqslant - 6a - 12[/tex]
add 12 to both sides
[tex]18 \geqslant - 6a[/tex]
divide by -6 to isolate the variable
[tex] - 3 \geqslant a[/tex]
Answer:
-3<=a
Step-by-step explanation:
1. Get the -6 away, so multiply everything by -6. 6*-6 >= -6*-6(a+2)
2. This becomes -1 <= a+2 Since if you multiply or divide anything by a negative number, you have to reverse the inequality sign.
3. Subtract 2 to get a by itself -1-2 >= a
4. This becomes -3 >= a which is the right answer.
(Just so you know >= and <= means less than or equal to and more than or equal to.)
I need help graphing 2x - 6y = 42 I'm just really lazy
Answer:
We can use slope intercept form to get the points needed. Y= -7+1/3x The points are (0,-7) and (3,-6)
Step-by-step explanation:
Subtract 2x from the left side and place it over to the right side with the 42. Now we have -6y= 42-2x. From here we divide by -6 and we get y= -7+1/3x. We know that are slope is 1/3 which the one is the rise and the 3 is the run. We also know that our y intercept is -7. We plot the points at (0,-7) and (3,-6)
if f(x) =- 3x - 9, find f(5)
The value of f(5) will be "-24".
Polynomial functionsA function would be an equation that typically contains only non-negative integers (-) powers or even just positive integer (+) multipliers of variables, such as the quadratic function, cubed equation, and so forth, is considered as Polynomial functions.
According to the question,
The given function is:
f(x) = -3x - 9
By substituting "5" in place of "x", we get
→ f(5) = -3(5) - 9
By solving the bracket, we get
= -15 - 9
= -24
Thus the above response is correct.
Find out more information about function here:
https://brainly.com/question/24380382
Answer:
F(5)=6
Step-by-step explanation:
Just did the question on my test
What is the slope of the line passing through the points (-3, 4) and (2, – 1)?
Answer:
m=-1 or -1/1 (same thing)
Step-by-step explanation:
(y2-y1/x2-x1)
(-1-4)/(2-(-3))=-5/5=-1
Answer:
-1
Step-by-step explanation:
The slope of a line can be written as [tex]\frac{\triangle{y}}{\triangle{x}}[/tex] or [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]. Plugging in the values gives us [tex]\frac{-1 - 4}{2 - (-3)} = \frac{-5}{5} = \boxed{-1}[/tex]
Solve for x: −3(x + 3) = −3(x + 1) − 5. (1 point) a 6 b −6 c All real numbers d No solution
Answer:
no solution
Step-by-step explanation:
you know it
4b-3b+7=10 Solve for b.
Answer:
b = 3
Step-by-step explanation:
Simplify 4b - 3b + 7 = 10
b + 7 = 10
Subtract 7 from both sides
b = 10 -7
Simplify 10 -7 to 3
b = 3
Hope this helps!
-Jerc
whats the best lil peep song lol
Answer:
Nutz in my opinion
Step-by-step explanation:
Answer:
girls
Step-by-step explanation:
List all the factors of 28 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer here
SUBMIT
Answer:
1,2,4,7,14,28
Step-by-step explanation:
because I'm smart
PLZ NEED HELP ASAP. Find the missing values for the table.
Answer:
candy 7
packs 5
Step-by-step explanation:
Answer:
Option A!
Step-by-step explanation:
Hey there!
To figure out the ratio of candies per packs, we divide 21 (candy) by packs (3) and we get 7. This means that there are 7 candies per pack! So, in 1 pack, there are 7 candies and when there are 35 candies, we divide 35 by 7 and get 5.
So, in one pack there are 7 candies and there are 35 candies in 5 packs.
Option A. Candy: 7 Packs:5
If my answer helped, please rate it and give it a Thanks!
Have a great day!
Write a compound inequality that is represented by the graph.
5
6
7
8
9
10 11 12
13 14
15
A compound inequality using the variable x is
Answer:
7<x<14
Step-by-step explanation:
please answer question 3
Answer:
2/6
Step-by-step explanation:
PLEASE HELP WHOEVER ANSWERS FIRST GETS BRAINLIEST
Answer:
8
Step-by-step explanation:
Answer:
8 ft
Step-by-step explanation
8x4=32, 8 ft on all 4 sides.
please help i really need this ill give brainliest if its correct
Answer: I'm pretty sure it's D.
Raina corre 7 millas en 50 minutos. A esta misma tasa, ¿qué distancia en millas correría en 75 minutos?
Responder:
10.5 millas
Explicación paso a paso:
50 / 7 = 0.14
0.14 * 75 = 10.5
Espero que esto ayude :)
Given parameters:
Distance covered by Raina = 7 miles
Time taken = 50 minutes
Unknown:
Distance covered in 75 minutes = ?
To solve this problem, we have to find the speed of Raina during the first 50 minutes.
Speed is the distance covered with time.
Speed = [tex]\frac{distance}{time taken}[/tex]
Input the parameters and solve;
Speed = [tex]\frac{7 miles }{50 minutes}[/tex] = 0.14miles/min
Now, to find the distance covered in the second run;
Distance = speed x time taken
= 0.14miles/min x 75min
= 10.5miles
The distance covered in miles is 10.5miles
help find the slope of the line
Answer:
-3/5
Step-by-step explanation:
When finding the slope, think of it as rise/run.
Rise= up/down
run=left or right
So looking at the line, it is pointing towards -inf so the slope is negative
Then we look at 2 points.
i.e. (0,2) and (-5,5) and do the rise over run technique (or just subtract) and you get your answer!