Distance = 13 units
Point A: (8, -7)
Point B: (-4, -2)
[tex]\sqrt{(8 + 4)^{2} + (-7 + 2)^{2} }[/tex]
[tex]\sqrt{(12)^{2} + (-5)^{2} }[/tex]
[tex]\sqrt{144 + 25 }[/tex]
[tex]\sqrt{169}[/tex]
[tex]13[/tex]
Answer:
[tex]\boxed {d = 13}[/tex]
Step-by-step explanation:
Use the Distance Formula to help you find the distance between the two following points:
[tex]d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
(where [tex](x_{1}, y_{1})[/tex] represents the first point and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the two following onto the formula:
[tex](x_{1}, y_{1}) = (8, -7)[/tex]
[tex](x_{2}, y_{2}) = (-4, -2)[/tex]
[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]
-Solve for the distance:
[tex]d = \sqrt{(-4 - 8)^{2} + (-2 + 7)^{2}}[/tex]
[tex]d = \sqrt{(-12)^{2} + 5^{2}}[/tex]
[tex]d = \sqrt{144 + 25}[/tex]
[tex]d = \sqrt{169}[/tex]
[tex]\boxed {d = 13}[/tex]
Therefore, the distance is [tex]13[/tex].
Y-5=1/2(x+2) what is the point and slope
Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 5 = [tex]\frac{1}{2}[/tex](x + 2) ← in point- slope form
with slope m = [tex]\frac{1}{2}[/tex] and (a, b) = (- 2, 5 ) ← point on line
Compare 4.10 and 12:20 using fractions. Which ratio is smaller? How do you know?
Answer: The answer is 4:10
Step-by-step explanation: Sample Response: First, I wrote each ratio as a fraction. Then I found a common denominator of 20. The fraction 4/10 is 8/20. Comparing numerators, 8 is less than 12, so the ratio 4:10 is smaller.
W=ab/a+b ; solve for a
I could solve for a and it said this:
Isolate the variable by dividing each side by factors that don't contain the variable.
All real numbers
Interval Notation:
(−∞,∞)
But I can solve for W and B
W = 2b
b = W/2
a = I could solve for a and they put the answer to this (−∞,∞)
simplify 3+5i/ 6-i!!! Pls help I’m taking a test!!
Answer:
3 - 0.166666667 i
Step-by-step explanation:
I think this is the answer
Zoey spent $12 on a video and $25.82 on a poster at the music store.
Find the total amount she spent, the additive inverse, and describe a
situation so that Zoey ends the week with zero dollars.
Part A: What was the total amount?
Part B: What is the additive inverse of the total?
Part C :Which describes a situation so that Zoey ends the week with
zero dollars?
A: Zoey earned $37.82 at her lemonade stand.
B: Zoey spent $37.82 on dinner and a movie with friends.
C: Zoey and a friend split the cost of a video game that cost $37.82.
D:Zoey got a $35 gift card for her birthday,
A company that makes hair-care products had 5000 people try a new shampoo. Of the 5000 people, 40 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.8% of people had a mild allergic reaction
Step-by-step explanation:
First, divide the number of people who had a mild reaction to the total amount of people.
0.008
Second, multiply by 100%.
0.008 * 100% = 0.8%
Best of Luck!
Answer:
the answer is 125 hope this helped
Step-by-step explanation:
Make a conjecture: What happens to
M AJK, m_BKJ, and m_CLJ as you
change the line of reflection?
The angles change.
The angles do not change.
The angles are always right
angles.
Answer:
the angles change
Step-by-step explanation:
Solve for x please help
Answer:180
Step-by-step explanation: Because it a 80 degree angle
what is -3x^2(-8)?
please hurry!!!!
Hope this helped!!!
Have a great day!!! :)
(2x10)-4 x (4x10)-3
Are this two triangles similar?
Yes
No
If the two triangles are similar,find the length of side AC.
They are not similar,so I can’t find the length
10
6
8
======================================================
Explanation:
Focus on triangle ABC. Let's find the missing angle
A+B+C = 180
113+B+22 = 180
B+135 = 180
B = 180-135
B = 45
Between the triangles, have two pairs of angles that are congruent
A = D = 113
B = E = 45
Which is enough to prove the triangles are similar through the angle angle (AA) similarity theorem. This must mean that C = F = 22
Since we have A pair with D, and B pair with E, this means that [tex]\triangle ABC \sim \triangle DE F[/tex]
The order of the letters is important so we know how the angles pair up. The first letters pair up together, the second letters pair up, and so on.
Consequently, this means sides BC and EF pair up and AC and DF pair up
We can then say...
BC/EF = AC/DF
18/12 = x/4
18*4 = 12*x
72 = 12x
12x = 72
x = 72/12
x = 6
AC = 6
Factor 2x2 - 10x + 8 completely.
a. 2(x + 2)(x - 2)
b. 2(x-2)(x + 4)
c. 2(x - 1)(x-4)
Answer:
c. 2(x-1)(x-4)
Step-by-step explanation:
c. 2(x-1)(x-4)
What is 75% of 200? Select one: O 50 O C 125 O 150 O 15
Answer:
75% of 200 is 150 ! :) .......
Answer:
C: 150 :)
75% of 200 is 150
I Want a board of peoples Nick names Give me Max 10 Min 5
Answer:
ZZ Top
Step-by-step explanation:
I don't know why, but my brother is evil and calls me that. Don't ask.
Answer:
nike,jordan,fila,gucci,louey
Step-by-step explanation:
(14x – 13)
(4x + 13)
(6x + 2)
Answer:
x = 7.416666667
Step-by-step explanation:
Set everything equal to 180 (the total # of degrees in a triangle)
180 = 14x-13 + 4x+13 + 6x+2
Combine the variables
180 = 24x - 13 + 13 + 2
Do the math
180 = 24x +2
178 = 24x
x = 7.416666667
A variable is, to put it simply, a quantity that can be altered and is not fixed. If the variables be (14x – 13), (4x + 13) and (6x + 2) then the value of x exists 7.416666667.
What is meant by variables?An unknown numerical value in an equation or algebraic expression is represented by a symbol (typically a letter) in algebra. A variable is, to put it simply, a quantity that can be altered and is not fixed.
Let the variables be (14x – 13), (4x + 13) and (6x + 2).
Set all values to 180 (the sum of the triangle's degrees).
180 = (14x - 13) + (4x + 13) + (6x + 2)
180 = 14x - 13 + 4x + 13 + 6x + 2
simplifying the above equation, we get
180 = 24x - 13 + 13 + 2
180 = 24x +2
178 = 24x
Divide both sides of the equation by 24, we get
178/24 = 24x/24
x = 7.416666667
Therefore, the value of x = 7.416666667.
To learn more about variables refer to:
brainly.com/question/27894163
#SPJ2
Graph y= 1/2x–3. please help
The slope of the line below is 3. Use the coordinates of the labeled point to
find a point-slope equation of the line.
(6,8)
10
10
A. y-6= -3(x-8)
B. y- 8 = 3(x-6)
C. y - 6 = 3(x-8)
D. y - 8 = -3(x-6)
Answer: y-8 = 3(x-6)
Step-by-step explanation:
Which is an irrational number?
Answer:
[tex]\sqrt{\frac{5}{3} }[/tex]
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal. [tex]\sqrt{\frac{5}{3} }[/tex] is irrational.
Hope this helps! o(〃＾▽＾〃)o
Help............................
Answer: convex
Step-by-step explanation:A convex polygon is a simple polygon (not self-intersecting) in which no line segment between two points on the boundary ever goes outside the polygon. Equivalently, it is a simple polygon whose interior is a convex set.
Find the effective rate of interest for 1% compounded monthly.
The effective rate of interest is %.
(Round to three decimal places as needed.)
Answer:
Find the effective rate of interest for 1% compounded monthly
Step-by-step explanation:
what is 1 plus 1 divided by 10 time 20plus 3
7
1+1 = 2
2/10 = 0.2
0.2x20 = 4
4+3=7
Select the three expressions that are equivalent to 9^4
Choose 3 answers
A. 9•4
B.9•9•9•9
C.9^8/9^2
D.(9^2•9^2)^1
E.(9^10/9^8)^2
Answer:
B and D
Step-by-step explanation:
the answer is B and D
The equivalent expression are [tex]9^4[/tex] = 9 x 9 x 9 x 9, 9² x 9² and
[tex](9^{10}/9^8)^2[/tex]
What is Expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Given:
[tex]9^4[/tex]
So, if we expand the above expression using exponents and power
[tex]9^4[/tex] = 9 x 9 x 9 x 9
and, 9² x 9² = [tex]9^{2+2[/tex] = [tex]9^4[/tex]
Also, [tex](9^{10}/9^8)^2[/tex]
= (9²)²
= [tex]9^4[/tex]
Hence, the equivalent expression are [tex]9^4[/tex] = 9 x 9 x 9 x 9, 9² x 9² and
[tex](9^{10}/9^8)^2[/tex]
Learn more about expression here:
https://brainly.com/question/14083225
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QUICK MATH, First right answer get brainliest
6 divided by 2 (1+2) = What
Answer:
0
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
6/2 = 3 x (1+2) = 9 :)
Bob's Gift Shop sold 250 cards for Mother's Day. One salesman, Kylie, sold 2% of the cards sold for Mother's Day. How many cards did Kylie sell?
ir x+2 has a value of 5. then which of the following is the value of x(x+2)+3(x+2)? Show the work
that leads to your answer.
(1) 30
(3) 15
(2) 25
(4) 10
we are using binomials
Answer:the answer is 1)30
Step-by-step explanation:
The consumer price index (CPI) is a measure of the average change of prices paid by urban consumers for goods and services. If a worker earned $28.50 per hour in the year 2000, how much would he need to earn in 2004 to have the same buying power as he did in 2000?
Answer:
$31.37 per hour
Step-by-step explanation:
In order to calculate how much he needs to earn to have the same buying power we first need to know how much inflation occurred over those years. According to data from the consumer price index charts, these years had the following inflation rates.
2000 = 3.4%2001 = 2.8%2002 = 1.6%2003 = 2.3%Total = 3.4 + 2.8 + 1.6 + 2.3 = 10.1%We don't include 2004 because inflation rates are calculated when the year is over and the individual is currently in 2004 in this scenario. Now we multiply the total inflation rate to the amount that the individual was making in the year 2000. But we turn the percentage into a decimal and add 1 to it so that we are increasing the wage.
(10.1 / 100) + 1 = 1.101
28.50 * 1.101 = $31.37
Therefore, the individual needs to have a wage of $31.37 per hour to maintain the same buying power in 2004 as in 2000.
What is the value of x?
5/7x - 13 = -48
Answer:
x = -1/49
Step-by-step explanation:
solve b
3b / 7-1 = 5
Answer:
b= 2 over 7
Step-by-step explanation:
exact form b= 2 over 7
decimal form b= 0.285714
help is this a function
Answer:
Yes. But I may be wrong.
Step-by-step explanation:
A girl that is 5ft tall casts a shadow 4ft long. At the same time, a tree casts a shadow 24ft long. How tall is the tree? *
Answer:
30 ft
Step-by-step explanation:
