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7nadin3 [17]
3 years ago
12

Y=4x+7 y=-3x alive by graphing

Mathematics
1 answer:
Allisa [31]3 years ago
7 0
Not sure what alive by graphing means, but these are the equations on a graph. Red is y=4x+7 and blue is y=-3x.
:^)

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In T-ball, the distance to each successive base is 50 feet. If the distance from home plate to the pitcher’s mound is 38 feet, h
JulijaS [17]

Answer:

<h2>The distance from the pitcher's mound and to second base is 37.99 approximately.</h2>

Step-by-step explanation:

The diamond is a square, which in this case has 50 feet long each side, and from home to pitcher is 38 feet. Notice that home is a vertex of the square and the pitcher's mound is the intersection of the diagonals, where they cut half.

We can find the distance from the pitcher to first base using Pythagorean's Theorem, where 50 feet is the hypothenuse.

50^{2} =38^{2}+x^{2}\\x^{2}=50^{2}-38^{2}\\x=\sqrt{2500-1444}\\ x=\sqrt{1056}\\ x \approx 32.5 \ ft

Therefore, the distance from the pitcher to first base is 32.5 feet, approximately.

Now, we can use again Pythagorean's Theorem to find the distance from pitcher to second base, where the hypothenuse is 50 feet.

50^{2}=32.5^{2}+y^{2}\\y^{2}=50^{2}-32.5^{2}\\y=\sqrt{2500-1056.25}\\ y =\sqrt{1443} \approx 37.99

Therefore, the distance from the pitcher's mound and to second base is 37.99 approximately.

<em>(this results make sense, because the diagonals of a square intersect at half, that means all bases have the same distance from pitcher's mound, so the second way to find the distance asked in the question is just using theory)</em>

8 0
3 years ago
How do you find the sum of cube ?
SIZIF [17.4K]

Answer:

(2x+5)(4x^{2} -10x+25)=0

Step-by-step explanation:

Given:

The given equation is.

8x^{3} +125=0

Find the some of cube.

Solution:

8x^{3} +125=0

2^{3}x^{3} +5^{3}=0

(2x)^{3} +5^{3}=0----------(1)

The sum of the cube formula is given below.

(a^{3} +b^{3})=(a+b)(a^{2} -ab+b^{2} )-----------(2)

By comparing equation 1 and equation 2

a=2x, b=5

substitute a and b value in equation 2

((2x)^{3} +5^{3})=(2x+5)((2x)^{2} -(2x)(5)+5^{2})

((2x)^{3} +5^{3})=(2x+5)(4x^{2} -(10x)+25)

((2x)^{3} +5^{3})=(2x+5)(4x^{2} -10x+25)

Therefore the sum of the cube (2x+5)(4x^{2} -10x+25)=0

4 0
3 years ago
the vertex of this parabola is at (-3,-1). when the y-value is 0, the x-value is 4. what it the coefficient of the squared term
Len [333]
<span>1/49 = a
 have a great day.
 
</span>
3 0
3 years ago
Read 2 more answers
A function is represented by the values in the table.
emmasim [6.3K]

Answer:

IS LINEAR

Step-by-step explanation:

3 0
2 years ago
Rewrite the following equation in standard form.<br><br> y= -2/7x + 5/8
nikitadnepr [17]
The equation in standard form would be,
\frac{2}{7} x + y =  \frac{5}{8}
All you have to do is move -2/7x to the other side.

Hope this helped
:D
8 0
3 years ago
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