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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.
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]Which is the graph of linear inequality 6x + 2y > –10?
On a coordinate plane, a dashed straight line with negative slope goes through (negative 2, 0) and (0, negative 6). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with negative slope goes through (0, 6) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with positive slope goes through (0, negative 6) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with positive slope goes through (negative 2, 0) and (0, 4). Everything to the right of the line is shaded.
Hope it helps :) and let me know if you want me to explain why
Answer:
A
Step-by-step explanation:
DECYPHERED
3(2x + 5) + 4(3c - 2)
Answer:
6x+12c+7
Step-by-step explanation:
3(2x+5)+4(3c-2)
3*2x+3*5+4*3c-4*2
6x+15+12c-8
6x+12c+7
Answer:
[tex]12c+6x+7[/tex]
Step-by-step explanation:
Use the distributive property to simplify the expression accordingly:
[tex](6x+15)+(12c-8)[/tex]
[tex]12c+6x+7[/tex]
I need help plzzzzzzzz
Answer:
51
Step-by-step explanation:
Given:
c=3
d = 7
thus just substitute it in.
15+(3)^2 * (7) - (3)^3
15 + 9*7-27
15+63-27
=51
what is 8 x ( 4 x 2 ) = ?
Answer:
64
Step-by-step explanation:
4*2 is 8
Multiply 8*8
Answer:
the answer is 64
Step-by-step explanation:
8(4*2)
=8*8
=64
6.
Identify the vertex of the parabola.
A. (−4, 0)
B. (−3, 1)
C. (1, −3)
D. (−1, −3)
Step-by-step explanation:
the vertex is the point, where the parabola turns around. it is (depending on its orientation, if it is opening upwards or downwards) the maximum or the minimum of the curve.
so, as we can see on the grid, that point is x = -3, y = +1 = (-3, 1).
so, B is correct
Answer:
B. (−3, 1)
Step-by-step explanation:
-3, 1 is the vertex I believe
-3,1 should be the one
1. A length of rope is stretched between the top edge of a building and a stake in the ground. The
head of the stake is at ground level. The rope also touches a tree that is growing halfway
between the stake and the building. If the tree is 38 feet tall, how tall is the building?
stake
38 ft.
O 19 ft.
076 ft.
57 ft.
Answer:
I want to say the building is most likely 76 ft tall
please be quick i dont have that much time
Answer:
To find the sum of interior angles in a polygon, we can use the formula:
[tex]180(n-2)[/tex] where n is the number of sides.
Since this is pentagon (5 sides), then [tex]180(5-2)=180*3=540[/tex]
The missing angle would then be
[tex]540-97-111-104-115=113[/tex]
Since angles on a straight line add up to 180, then
[tex]x+113=180[/tex]
[tex]x=67[/tex]
Please help me
RIGHT ANSWERS ONLY
Answer:
90 adults
Step-by-step explanation:
Let's make this an equation
We can add 5+3 giving us 8
Let's make it 8x=144
Solve for x
Divide 8x by 8 = 1x
144 ÷ 8 = 18
Now since we're looking for the adults we multiply by 5
18*5=90 adults
I need help on this question
a group can plant 3/4 acres in 1 7/8. What os the unit rate in acres per day? Write your answer in simplest form.
5x + 7y = 5 10x + 14y = 10 solve by elimination
The answer is:
x= 46/5
y= 5/7
Sam buys one bag of flour for $2.50, three packages of shredded cheese for $3.00 each, and x packages of mushrooms for $3.50 each. If Sam paid $18.50 in all, how many packages of mushrooms did Sam buy?
Answer:
The answer is 1 pack of mushroom
Step-by-step explanation:
help with this question
Answer:
B
Step-by-step explanation:
can someone help with this question
Answer:
<1= 60
<2=120
<3=60
<4=60
<5=120
<6=120
<7=60
Step-by-step explanation:
Evaluate each function for the given value of x, and write the input x and
output f(x) as an ordered pair.
18,20,22,24
Answer:
18) 3
20) -65
22) 12/5
24) -5/2
Step-by-step explanation:
18) f(-5) = -[2(-5)+1] / 3
= -(-10+1)/3
= -(-9)/3
= 3
20) f(7) = -9(7)-2
= -63-2
= -65
22) f(-1) = -[(12 · -1)]÷5
= -(-12)÷5
= 12/5 or 2 2/5
24) f(9) = 2/9(9) - 9/2
= 2 - 9/2
= 4/2 - 9/2
= -5/2 or -2 1/2
If A={s, t, a, r} and B={m, a, t, h}, find A ∩ B.
A ∩ B = { t,a }
This is because it is asked to find the common elements present in both sets.
We need to write only the same elements present in both sets.
Therefore, A ∩ B = { t,a } is the answer.
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Answered by Benjemin ✍️
Five students sold lemonade and earned a total of $21.30. If they equally split their earnings, how much would each student receive?
Answer:
$4.26 each
Step-by-step explanation:
21.30 divided by 5 equals 4.26
(had to do it in words because I only have + - = )
-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 !
estimate how full each container is.
Answer:
5/8
Step-by-step explanation:
the answer is 5/8 hope you get answer right.
Each of these circles represents a pizza cut into 10 equal slices, and the yellow slices are the ones eaten by Larry.
If Larry ate $L\%$ of the total amount of pizzas, what is the value of $L$?
[asy]
unitsize(0.35inch);
defaultpen(black+1);
void pie(pair ctr, real fract, int slices, string lbl){
path c = circle(ctr,1);
draw(c);
fill(c,darkblue);
path s = (ctr+(0,1)--ctr--ctr+(sin(2*pi*fract),cos(2*pi*fract))..ctr+(sin(pi*fract),cos(pi*fract))..cycle);
draw(s);
fill(s,yellow);
for(int i=0;i
draw((ctr+(sin(2*pi*i/slices),cos(2*pi*i/slices))--ctr),red+0.75);
};
label(lbl,ctr+(0,-1),S);
}
pie((0,0),1/10,10,"");
pie((2.5,0),6/10,10,"");
pie((5,0),2/10,10,"");
[/asy]
Answer:
pie((2.5,0),6/10,10,"");
Step-by-step explanation:
Melanie got a new job through the Jones Employment Agency. The job pays $32, 400 per year, and the angency fee is equal to 45% of one months pay. How much must Melanie pay the agency?
Answer:
The answer is $1,215
Step-by-step explanation:
I did $32,000 divided by 12 (months on an year) and got $2,700 per month, now we just do 0.45 x $2,700 and thats how I got the answer!
solve x. 24-8x=-16 and have a bless day
Answer:
x = 5
Step-by-step explanation:
24 - 8x = -16
Subtract 24 from both sides.
-8x = -40
Divide both sides by -8.
x = 5
Answer:
5
Step-by-step explanation:
24 - 8x = -16
24 + 16 = 8x
8x = 40
x = 40/8
= 10/2
= 5
Which is the function represented by the table?
Answer:
its the first one on the list bc when x is 0 you get f(x) = 1 and thats the only fjnction that does that with all of them.
Answer:
f(x) = - 2x + 1
Step-by-step explanation:
The equation of a linear function in slope- intercept form is
f(x) = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table
m = [tex]\frac{-3-3}{2-(-1)}[/tex] = [tex]\frac{-6}{2+1}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2
The function crosses the y- axis at (0, 1 ) ⇒ c = 1
f(x) = - 2x + 1
Solve for j.
3j+1≥10
67 points
:D
3j+1≥10
Subtract 1 from both sides.
3j ≥ 9
Then divide both sides by 3.
j ≥ 3
if the sum of two consecutive odd number is 12 find them
Answer:
5 and 7
Step-by-step explanation:
Fast and loose: 12 is written as a sum of two odd numbers as 1+11; 3+9; 5+7. The only consecutive pair is 5 and 7
Let's use algebra: let's call 2n+1 the first and 2n+3 the second.
Their sum is 2n+1 +2n+3 = 4n+4 = 12. Thus, n+1=3 and n= 2. It means the 2 numbers are 2x2+1 =5 and 2x2+3 =7
Q.5) The graph shows the number of inches a plant grew each week. Between which 2 weeks did the plant didn't grow at all?
Week 1 and Week 2
Week 4 and Week 5
Week 2 and Week 3
Answer:
Week 1 and Week 2.
Step-by-step explanation:
translating the following mathematical expressions into phrases
[tex]x^{2}[/tex]-12
[tex]\frac{2x}{3} +1[/tex]
[tex]x^{3}-8[/tex]
Answer:
1) a number squared, reduced by 12
2) the quantity of twice a number divided by 3, increased by 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
The first expression reads "x squared less (or minus) 12."
The second expression becomes "the quotient 2x/3 plus one." Note that 2x/3 must be computed before "one" is added, due to order of operations rules.
The third expression reads "8 less than the cube of x."
what is the scale factor?
Use this:
The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.
Answer:
1 2/3 is the scale factor
Step-by-step explanation:
So the scale factor either makes soemthing bigger or smaller
In this case it’s getting bigger
So we have one side already so we jsut find the value that was multiplied
so 9 * ? Is 15
You
d get 1 2/3
Writing quadratic functions
Answer:
So, y = x^2 is a quadratic equation, as is y = 3x^2 + x + 1. All of these are polynomial functions of degree 2. Often you will be given the quadratic ...