Answer:
Mixed martial artist
Step-by-step explanation:
The book wants me to use the Pythagorean Theorem (a^2+b^2=c^2) to get the correct answer. I never learned how to use the theorem when finding distance and have only used Distance Formula. I tried using the Distance Formula to get the correct answer and got a negative outcome. Can someone please explain how Pythagorean Theorem works or maybe tell me how to fix the Distance Formula so it doesn't give me a negative outcome.
Answer:
C) [tex]\sqrt{106}[/tex] units
Step-by-step explanation:
The Pythagorean Theorem is [tex]a^2+b^2=c^2[/tex] where [tex]a[/tex] and [tex]b[/tex] are side lengths of a right triangle and [tex]c[/tex] is the hypotenuse, the longest side of the right triangle.
The distance formula is similar to that of the Pythagorean Theorem which is [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points that you wish to find the distance between them in an (x,y) coordinate plane.
Here, we are given that [tex](x_1,y_1)[/tex] is [tex]P(-4,-6)[/tex] and [tex](x_2,y_2)[/tex] is [tex]Q(1,3)[/tex]. So, we can use the distance formula as described previously to find the positive distance between the two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(1-(-4))^2+(3-(-6))^2}[/tex]
[tex]d=\sqrt{(1+4)^2+(3+6)^2}[/tex]
[tex]d=\sqrt{(5)^2+(9)^2}[/tex]
[tex]d=\sqrt{25+81}[/tex]
[tex]d=\sqrt{106}[/tex]
[tex]d \approx 10.295630141[/tex]
Since all of the given answer choices are in radical form, then C is the correct answer. The distance between the two points is [tex]\sqrt{106}[/tex] units.
Help please guys thankyouu
You have the right idea so far, but you forgot to finish it up.
Point slope form is
y - y1 = m(x - x1)
where m is the slope, and (x1,y1) is the point the line goes through. As you can see, we have infinitely many choices for (x1,y1). If you use the y intercept point (0,5), then
y - y1 = m(x - x1)
y - 5 = -1(x - 0) ..... this is one of infinitely many possible answers
OR
If you use the point (2,3), then we'd say
y - y1 = m(x - x1)
y - 3 = -1(x - 2) ..... which is another possible answer
There are infinitely many other choices, but I'm only picking the points in which your teacher has shown as big dots.
By the way, nice work on getting the correct answer for the slope-intercept form.
Step-by-step explanation:
(0,5)and (2,3)
[tex] m = \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - 3}{0 - 2} \\ = - 1 \\ \\ m = - 1 \\ substitude (0,5)or (2,3) \\ substitude \: (0,5)for \: convenience \\ y = - 1x + b \\ 5 = b \\ y = - x + 5[/tex]
Brianliest please~
A square has a perimeter of 44m. What is the length of each side
Answer:
11
Step-by-step explanation:
44/4
Mr. Kevin pays $37.95 per month for his cell phone with unlimited minutes. At this rate, what will his cellphone
cost for the year
Answer:
$455.4 For The Year
Step-by-step explanation:
Kevin pays $ 37.95 per month for his cell phone with unlimited minutes
First, We know that there are 12 months in 1 year.
Therefore, 1 year = 12 months
The cost per month = $ 37.95
So, have to find the cost for 12 months
Cost for 12 months = 12 x 37.95
Cost for 12 months = 455.4
So your solution to the problem is $455.4 Cost for the year.
Los números 0, 4, -2, -1 ordenados de mayor a menor 4, .1, -.2 ,0 4, 0 -2, -1 .1,.2,0, 4 4, 0, -1, -2
Answer:
opción D
Step-by-step explanation:
El número más bajo es -2
Número mayor que -2 es -1
Número mayor que -1 es 0
Número mayor que 0 es 4
Entonces, el orden de mayor a menor es 4> 0> -1> -2
Por tanto, la opción D es correcta
Which of the following uses the reciprocal property to rewrite x/12 = 32/18 ?
Answer: A
Step-by-step explanation:
x/32 = 18/13
Find the value of x. Write your answer in simplest form.
Answer:
X=8
Step-by-step explanation:
[tex](8 \sqrt{2} ) ^{2} = {x}^{2} + {x}^{2} \\ 128 = 2 {x}^{2} \\ {x}^{2} = \frac{128}{2} \\ {x}^{2} = 64 \\ x = 8[/tex]
A reindeer runs 2014 miles in 3 hours. At that rate, how many miles does it run in 1 hour?
Answer:
about 671 miles
Step-by-step explanation:
2014m=3h
2014/3= about 671 miles an hour
Answer:
671.33 repeating
Step-by-step explanation:
2014/3=671.33
Help needed only if you can explain!!
Answer:
The probability is 1/41664.
To calculate the probability, write a fraction. The numerator is the number of ways the outcome can occur. The denominator is the number of different outcomes.
Thus, 1 is the number of outcomes we want. 41664 is the total number of different combinations possible.
Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The meets the ground at and
Answer:
The trestle meets ground level at 0.875 units and 9.125 units
Step-by-step explanation:
Poorly formatted question.
The given equation is:
[tex]y = -x^2 + 10x - 8[/tex]
Required
The point where the trestle gets to the ground level
To do this, we set [tex]y = 0[/tex]
So, we have:
[tex]-x^2 + 10x - 8 = 0[/tex]
Multiply through by -1
[tex]x^2 -10x + 8 = 0[/tex]
Solve using quadratic formula:
[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a = 1; b =-10; c = 8[/tex]
So, we have:
[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]
[tex]x= \frac{10 \± 8.25}{2}[/tex]
Solve the fraction
[tex]x= 5 \± 4.125[/tex]
Split
[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]
[tex]x= 9.125\ or\ x= 0.875[/tex]
What is the range of the function in this table?
х y
1 2
2 4
3 3
4 2
a. (1,2), (2,4), (3,3), (4,2)
b. (1,2)
c. {1,2,3,4}
d. {2,3,4}
Answer:
4 is the range of the function
plzz ans quick now plzz plzz plzz
Rational
OPTION A is the correct answer
Answer:
A is the correct answer! :)
Step-by-step explanation:
have a nice day!~
SOMEBODY PLEASE HELP ME!
9*__=33?
Answer:
11/3
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 33 on the left side and the dividend 9 on the right side like this:
3 3 ⟌ 9
Step 2:
The divisor (33) goes into the first digit of the dividend (9), 0 time(s). Therefore, put 0 on top:
0
3 3 ⟌ 9
Step 3:
Multiply the divisor by the result in the previous step (33 x 0 = 0) and write that answer below the dividend.
0
3 3 ⟌ 9
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (9 - 0 = 9) and write the answer below.
0
3 3 ⟌ 9
- 0
9
You are done.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 9 divided by 33 calculated using Long Division is:
0
9 Remainder
PLS HELP QUICKKK its almost due
I think its the second one. I hope it is
Which data set has high consistency and low variability? Why?
PLEASE HELP (look at the photo) I will mark brainleist!
Answer:
I believe its c $1520 overall there's only a decrease of 5%
Answer:
The value of the investment on August 1st is $1,512.
Step-by-step explanation:
To find the value of the percentage decreased by the percent of its value, simply subtract a number to a percent. To find the value of the percentage increased by the percent of its value, add a number to the percent. In this case, the value of the investment started with $1,600 and then it decreased by 10%. We can write our equation like this: 1,600 - 10% = ?. Don't think about turning 10% into 0.1. You could do that, but it wouldn't result in the answer as the value decreased by 10%. It would turn out to be 1,599.9 if you did subtract 1,600 by 0.1. It is NOT the value DECREASED by 10%. I think some people would mistakenly go on to that path but please don't. You will NOT recieve an accurate answer. Following the equation, you should get $1,440. That is the investment made during the month of June decreased by 10%.
During the month of July, the value INCREASED by 5%. Similar to the percentage decreased equation, we just turn the subtraction symbol into an addition symbol. Do the same process again but with an addition symbol and the NOW value of $1,440. You should get $1,512 as your final answer. If you are confused about how I got this answer, look at this equation for percentage increased: 1,440 + 5% = ?. If I am wrong, please let me know and I hope this helps! :D
what is 1 1/5 x 3 4/5 x 1
Answer:
Step-by-step explanation:11/5 x 3 =6.6 4/5 x 1 =0.8
There are ____ legs for every 4 ears
Answer:
there are 8 for any four leg creatures : there are 4 for a human
Step-by-step explanation:
Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
I believe that a bar graph will help with that, because you can narrow the answers down to a bar graph and a line graph but a line graph will only show an increase and a decrease not an average, and a bar graph shows all three.
Step-by-step explanation:
I hope this helped let me know!
please help calculate
Step-by-step explanation:
the answer is in the above image
A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each
successive bounce is 69% of the previous bounce's height. Write a recursive formula
to represent the height of the nth bounce of the ball.
The value 2.75 goes in the first box, since it's the first term.
The expression [tex]0.69*a_{n-1}[/tex] goes in the second box. The second line says "to get the nth term, we multiply the previous term by 0.69"
Help plsss!
find the area of the shaded region
why can’t these lines be marked parallel ?
Answer:
there not the same and eqjral
Step-by-step explanation:
y-6=4(x+5) what is y and x intercept?
Answer:
x = [tex](-\frac{13}{2} ,0)[/tex] y = (0,26)
Step-by-step explanation:
First find the x intercept
To find the x intercept, substitute 0 for y and solve for x.
[tex](0)-6=4(x+5)[/tex]
Rewrite the equation as [tex]4(x+5)=(0)-6[/tex]
[tex]4(x+5)=(0)-6[/tex]
Subtract 6 from 0.
[tex]4(x+5)=-6[/tex]
Divide each term in [tex]4(x+5)=-6[/tex] by 4.
[tex]\frac{4(x+5)}{4} =\frac{-6}{4}[/tex]
Cancel the common factor of 4.
[tex]x+5=\frac{-6}{4}[/tex]
Simplify [tex]\frac{-6}{4}[/tex]
[tex]x+5=-\frac{3}{2}[/tex]
Subtract 5 from both sides of the equation.
[tex]x=-\frac{3}{2} -5[/tex]
To write [tex]-5[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex]
[tex]x=-\frac{3}{2}-5[/tex] · [tex]\frac{2}{2}[/tex]
Combine [tex]-5[/tex] and [tex]\frac{2}{2}[/tex].
[tex]x=-\frac{3}{2} +\frac{-5*2}{2}[/tex]
Combine the numerators over the common denominator.
[tex]x=\frac{-3-5*2}{2}[/tex]
Simplify the numerator.
[tex]x=\frac{-13}{2}[/tex]
Move the negative in front of the fraction.
[tex]x=-\frac{13}{2}[/tex]
x = [tex](-\frac{13}{2} ,0)[/tex]
-----------------------------------------------------------------------------------------------------
Find the y-intercepts.
To find the y-intercept(s), substitute in 0 for x and solve for y.
[tex]y-6=4((0)+5)[/tex]
Add 0 and 5.
[tex]y-6=4 *5[/tex]
Multiply 4 by 5.
[tex]y-6=20[/tex]
Add 6 to both sides of the equation.
[tex]y=20+6[/tex]
Add 20 and 6.
[tex]y=26[/tex]
y = (0, 26)
Please help me i dont understand
Answer:
Your answer is 15.
Step-by-step explanation:
I've done this before and got it right
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
15^2+8^2=missing side^2
225+64=missing side^2
[tex]\sqrt{289[/tex]=missing side
17=missing side
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
the graph has a positive slope with a y-intercept of 5
y = 1/4x + 5
Step-by-step explanation:
i found the slope by using points (0,5) and (4,6)
slope formula says to subtract the y-values and divide by difference of x-values:
(6-5) / (4-0) = 1/4
Does anyone know what this is :
x + 2 = 3
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
x + 2 = 3
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 2 on both sides: x = 1Answer:
X=1
Step-by-step explanation:
x+2=3
PEMDAS= Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.
X+2=3
X=3-2
X=1
write the equation y=x-4 in standard form (Ax + By = C)
Answer:
x - y = 4
Step-by-step explanation:
Given
y = x - 4 ( add 4 to both sides )
y + 4 = x ( subtract y from both sides )
4 = x - y , that is
x - y = 4 ← in standard form
What is the solution to this equation? -12x=8
Answer:
x = -2/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-12x = 8
Step 2: Solve for x
[Division Property of Equality] Divide -12 on both sides: x = 8/-12Simplify: x = -2/3anyone know the answer :) thank you
Answer:
Choice A
Step-by-step explanation:
A = 1/2 (b1+b2)h
Multiply each side by 2
2A = (b1+b2)h
Divide each side by (b1+b2)
2A/ ((b1+b2) = h
Answer:
A
Step-by-step explanation:
We have to isolate h on one side.
First, we remove the 1/2 multiplying by H by multiplying both sides by 2
Which results with:
2A = h(b1+b2)
next we have to get rid of (b1+b2) by
dividing both sides by (b1+b2)
2A/(b1+b2)=h
