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Explanation:
Draw a straight line from home plate to second base. Two right triangles form. Each triangle has both legs equal to 90 ft. The hypotenuse is what we're after. We'll use the pythagorean theorem to find it.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{90^2 + 90^2}\\\\c = \sqrt{16200}\\\\c \approx 127.27922\\\\c \approx \boldsymbol{127.3}\\\\[/tex]
It's approximately 127.3 feet from home plate to second base. This is a straight line distance. Any curved path the ball takes will travel a slightly longer distance; however, we only consider the straight line distance for the sake of simplicity.
Which graph represents the following equation 2x - 4y = 12
I took screen shots of my work here you go!
Please help me with this math problem!! :)
3/12 + 7/12 =
A) 5/6
B) 10/24
C) 5/24
D) 1/6
Answer:
A. 5/6
Step-by-step explanation:
Since our denominators match, we can add the numerators.
3 + 7 = 10
So 10/12 the answer but simplified would give 5/6
1,2
2,6
3,12
4, 20
Is the function Linear or Nonlinear, and explain why
Explanation:
The variable x increases by 1 each time we move down the rows. This increase is constant or the same jump each time.
However, the variable y increases by different amounts. From y = 2 to y = 6, we have +4. Then from y = 6 to y = 12 is +6. This mismatch of increases is sufficient to prove we don't have a linear function. The function is nonlinear.
Visually, we can plot all of the points on the same xy grid. Notice that a straight line does not go through all four points. Rather, a parabola does, and the equation of the parabola is y = x^2+x which is the same as y = x(x+1).
what is 6/2(1+2)=?give with expiation
Step-by-step explanation:
6/2 (1+2) = 3(3) = 9.
hope this helps you.
Answer:
9
Step-by-step explanation:
First you need to multiply 6/2 or 3 by the numbers in the ( ) 6/2 x 1 and 6/2 x 2. You will get 3 and 6. 3+6= 9
The price of a t-shirt is $15. If you buy more than 4 shirts, you will get 15% discount. How much do you have to pay (before tax) if you buy 8 shirts?
Lucy is going to watch a movie in her collection. She has 5 action movies, 4 comedies, and 3 dramas.
She will randomly select one movie. What is the probability that the movie she selects is not a drama?
Write your answer as a fraction in simplest form.
Answer:
3/4
Step-by-step explanation:
5 action+4 comedy+3 drama= 12 total movies
12 will be the denominator of our fraction.
The question asks: What is the probability that the movie she selects is NOT a drama?
So, we add the number of action and comedy movies.
5+4=9
9 is our numerator.
But wait! We have to simplify the fraction 9/12!
9 divided by 3= 3
12 divided by 3= 4
Reduced answer: 3/4
Morgan drew 3 lines. • Line A moves in the same direction as Line B and the lines never intersect. • Line B forms a perfect right angle (90° angle) with Line C. Which statement is correct about these lines?
A: Line B is parallel to Line
2: Line A is perpendicular to Line B
3: Line C is perpendicular to Line A
4: Line C is parallel to Line A
Answer: line c is perpendicular to line a
Step-by-step explanation:
Parallel lines are two or more lines that lie next to each other
Line C is perpendicular to Line A.
The correct option is 3.
What are parallel and perpendicular lines?Parallel lines are the lines that do not intersect or meet each other at any point in a plane.
In Mathematics, a perpendicular is defined as a straight line that makes the right angle (90 degrees) with the other line. In other words, if two lines intersect each other at the right angle, then the lines are perpendicular to each other.
Given, three lines A, B and C.
Line A moves to the same direction as Line B
⇒ Line A║ Line B
Line B makes perfect right angle with line C
⇒ Line B ⊥ Line C
From the given statements
we can conclude
⇒ Line A ⊥ Line C
Hence, Line C ⊥ Line A
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Twenty five less than two times x is equal to 6
Plzzzz help meeeee plzzzz helppmmmmeee
Can you solve this? Thank you
Answer:
14
Step-by-step explanation:
ratio of red : blue = 4 : 3 = 4x : 3x ( x is a multiplier )
8 red counters are added , so
4x + 8 : 3x = 8 : 3
Expressing the ratio in fractional form
[tex]\frac{4x+8}{8}[/tex] = [tex]\frac{3x}{3}[/tex] ( cross- multiply )
24x = 3(4x + 8) = 12x + 24 ( subtract 12x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
original number of counters = 4x + 3x = 7x = 7(2) = 14
(pls help quick and explain how you got the answers for brainliest)
You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :
1. AB is the hypotenuse, so, according to the theorem we can write :
AB² = AC² + CB²
c² = 5² + 4²
c²= 25 + 16
c² = 41
applying the square root of 41 we get :
c ≈ 6.40 rounded to the hundred
The next cases are exactly the same thing so there is no need for explanation :
2.
AB is the hypotenuse here because it is the biggest side clearl :
AB² = AC² + CB²
25² = 15² + b²
Thus
b² = 25² - 15²
we just subtracted 15² on each side of the equation
b² = 625 - 225
b² = 400
applying the square root of 400 we get
b = √400 = 20
So AC = 20
3. The longest side is clearly AB = 60
So
AB² = AC² + CB²
60² = 40² + a²
subtracting 40² on each side of the equation we get :
a² = 60² - 40²
I let you finish this using your calculator and doing exactly like the previous cases
4.
AB is the hypotenuse,
AB² = AC² + CB²
23² = b² + 14²
Subtracting 14² from each side of the equation we get
b² = 23² - 14²
5.
AB is the biggest side :
AB² = AC² + CB²
29² = 23² + a²
We subtract 23² on each sides of the equation :
a² = 29² - 23²
You can finish with your calculator
6.
AB² = AC² + BC²
78² = b² + 30²
subtraction...
b² = 78² - 30²
Good luck :)
-a/6 + 7 = -14 I want to know how to do this
Step-by-step explanation:
so, if you did not make a typo the problem is
-a/6 + 7 = -14
and I guess, you need to find the value of a to make this equation true. right ?
you know that you can do additional operations on the equation ?
the rule is, whatever you change on one side of the equation you have to change also on the other side (otherwise we would destroy the original equation, where the left side must be equal to the right side).
so, a good idea to start is to try and separate the terms with the variable and the constants.
so, let's subtract 7 from both sides :
-a/6 = -14 - 7 = -21
next, the fraction is disturbing. let's dissolve it by multiplying both sides by 6 :
-a = -21×6 = -126
both sides are negative expressions. that is not nice either. let's multiply both sides by -1
a = 126
and we have our result ! bingo !
Please please solve this quickly. I've tried many things before, and I have no clue what the answer is.
Yall i need help asap! please help
Sorry, couldn't help in Q. 10
The question seems undefined or I haven't seen this question before.
I do this do y'all can get extra point and complete challenges!
What is 4 + 4
8 is the correct answer. By the way, Thank you for the few extra points.. It is very appreciated.
Find the measure of X
Answer:
x = 6
Step-by-step explanation:
When parallel lines are intersected by a transversal
alternate exterior angles are congruent
Therefor
15(x + 2) = 120
Divide both sides by 15
x + 2 = 8
Subtract 2 from both sides
x = 6
Answer:
Step-by-step explanation:
here 120 degrees would be the same as 15(x+2)
Just like how angle R on the other side of 120 Degrees is the same
so 15(x+2) = 120 degrees
let us distribute
15x +30 = 120
-30 -30
15x=90
15x/15=90 /15
x=6
so what you have selected is correct
Find a point-slope form for the line with slope
and passing through the point (-4,-7).
Answer:
[tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Identify variables.
Point (-4, -7)
Slope m = [tex]\displaystyle \frac{1}{5}[/tex]
Step 2: Find Equation
Substitute in variables [Point-Slope Form]: [tex]\displaystyle y - -7 = \frac{1}{5}(x - -4)[/tex]Simplify: [tex]\displaystyle y + 7 = \frac{1}{5}(x + 4)[/tex]50 POINTS, GET RIGHT FOR BRAINLIEST
What is the prime factorization of 144? (The ^ means exponent)
A) 2 × 6^2
B) 2^2 × 3^4
C) 2^3 × 3^2
D) 2^4 × 3^2
Answer:
A and D
Step-by-step explanation:
A is 2 times 6 to the 2nd which is just 24 and D is 16 times 9 which is 144 both are prime factors of 144.
Consider the line y=6/7 x -7. Find the equation of the line that is perpendicular to this line and passes through the point (6,-6). Find the equation of the line that is parallel to this line and passes through the point (6,-6) .
Answer:
[tex]y= -\frac76x +1[/tex]; [tex]y= \frac67x -\frac{78}7[/tex]
Step-by-step explanation:
We know from theory that two perpendicular lines have the product of their slope equal to -1. Let's find the second slope:
[tex]\frac67m = -1 \rightarrow m=-\frac76[/tex]
At this point we can just use the slope-point equation to get our first line:
[tex]y-y_0 = m(x-x_0)\\y-(-6) = -\frac76(x-6) \\y+6= -\frac76x +7\\y= -\frac76x +1[/tex]
Now, we know that two parallel lines have the same slope. Time to apply the same point-slope formula, with the original m this time.
[tex]y-(-6) = \frac67(x-6)\\y+6 = \frac67x -\frac{36}7\\y= \frac67x -\frac{36}7 -{\frac{42}7[/tex]
[tex]y= \frac67x -\frac{78}7[/tex]
What multiplication product is represented by this grid
Answer: 0.07 x 5
There are 35 colored out of the 100 = 35%
35% = 0.35 = 0.07 x 5
Theresa created a piece of art by attaching a square plank to a triangular plank. The square plank has a perimeter of 48 inches. The triangular plank has a base length of 12 inches and a height of 6 inches. She wants to cover the piece of art with colored paper.
How many square inches of paper are needed to cover Theresa's art piece?
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
The perimeter of the square is 48. The Square has 4 sides so 48/4 = 12.
One side of the square is 12. Use [tex]12^{4}[/tex] to calculate the area. [tex]12^{4}[/tex] = 144.
Triangle base = 12 and height = 6. 12 times 6 divided by 2 = 36.
144 + 36 = 180
9x^2-(3x+1)(4x-5)+1+6x=0
Answer:
x = -1/3 or x = 6
Step-by-step explanation:
For this equation, you should use the FOIL method or the BOX method. Break it apart to solve it easier. Sites like mathpapa or symbolab can help break these down for you.
7. Elle can buy milk at a local farmers'
market for $3.58 per gallon or at the
grocery store for $3.79 for 4 L. Which
is the better buy?
Answer: They are the same equivalent price, $0.95/liter.
Step-by-step explanation:
Choices: $3.58 per gallon, or $3.79 for 4 L.
========
We need to convert one of the volumes. I'll convert gallons to liters.
By definition, 1 gallon = 3.785 liters
Make this into a conversion factor:
We can make it either:
1) (3.785 liters/gallon), or
2) (1 gallon/3.785 liters)
Now convert the $3.58/gallon into dollars/liter. We'll use the second conversion factor so that gallons cancels out when we multiply:
($3.58/gallon)*(1 gallon/3.785 liters) = $0.95/liter.
The grocery store milk must also be converted to a price expressed per 1 liter:
$3.79 for 4 L
= $0.95/liter.
They are the same equivalent price, $0.95/liter.
Write the equation in point slope form
Answer:
5<6 so tbh I have no idea what this is I just need point
Find three rational numbers lying between -2/5 and -1/5
Answer:
0, 1/4, -1/4
Step-by-step explanation:
Which of the following is not an advantage of renting? a. Ease of mobility b. Fewer responsibilities c. Lower initial costs d. Restricted lifestyle Please select the best answer from the choices provided A B C D.
A restricted lifestyle is not an advantage of renting.
Option D is the correct answer.
What is renting?Renting a property has several advantages, such as ease of mobility, fewer responsibilities, and lower initial costs.
We have,
Ease of mobility is an advantage because it is easier for renters to move to a new location since they are not tied down to a specific property.
Fewer responsibilities are another advantage because the landlord is usually responsible for maintaining the property, making repairs, and paying for utilities.
This means that renters do not have to worry about these tasks or expenses.
Lower initial costs are also an advantage because renters do not have to pay for a down payment or closing costs, which can be a significant expense when purchasing a property.
A restricted lifestyle is not an advantage of renting.
This is because renters may be limited in terms of decorating, making changes to the property, or having pets.
Renters may also have to abide by certain rules set by the landlord or property management company.
This can limit their freedom and personalization of the space.
Thus,
A restricted lifestyle is not an advantage of renting.
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0 0
2 6
4 12
6 18
What is the slope?
what is the y-intercept?
Proportional or not proportional?
Answer:
a) slope / m = 3
b) y-intercept / b = 0
c) Proportional
Step-by-step explanation:
a)
( y1 - y2 ) / ( x1 - x2 )
( 6 - 12 ) / ( 2 - 4 )
( -6 ) / ( -2 )
6 / 2
3
b)
y = mx + b
6 = 3(2) + b
6 = 6 + b
0 = b
c)
Proportional is when it crosses origin ( 0, 0 ).
Not proportional is when it does not cross origin.
Hopefully this helps!
Brainliest please?
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
-2
Step-by-step explanation:
Answer:
D, -2
Step-by-step explanation:
Take a look at the number inside the function "f" which is 2. now know that it is a number you are supposed to substitute in the place of x .. therefore : f(2) = 5(2) - 12 = 10 - 12 = -2.
Trigonometry:
Find the value of θ
Answer:
θ ≈ 50.1°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{61}{95}[/tex] , then
θ = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{95}[/tex] ) ≈ 50.1° ( to the nearest tenth )