Which value is closest to the unit length of GF in the coordinate plane below ?

Mathematics

1 answer:

Tresset [83]3 years ago

4 0

Answer:

$GF=11\ units$

Step-by-step explanation:

we know that

Applying The Pythagorean Theorem in the right triangle GHF of the figure

$GF^2=GH^2+HF^2$

we have

$GH=6\ units\\HF=9\ units$

substitute

$GF^2=6^2+9^2$

$GF^2=36+81$

$GF^2=117$

$GF=10.8\ units$

Round to the nearest unit

$GF=11\ units$

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In one baseball season, Peter hit twice the difference of the number of homeruns Alice hit and 6. Altogether, they hit 18 homeru

m_a_m_a [10]

In order to solve this problem, the approach should be formulating equations such that they form a system of linear equations. Let's start by assigning variables. Let x be the number of homeruns made by Peter, and y be the number of homeruns made by Alice. Therefore,

x = 2(y - 6)

This is the equation for the relationship between Peter's and Alice's hits. The second equation would be the sum of their hits:

x + y = 18

These are the two independent equations in order to solve the two unknowns, x and y. Substituting the first equation into the second equation,

2(y - 6) + y = 18
2y - 12 + y = 18
3y = 18 + 12
3y = 30
y = 10

Using y=10 to the first equation:
x = 2(10 - 6)
x = 8

Therefore, Peter made 8 homeruns, while Alice made 10 homeruns for a total of 18.

7 0

4 years ago

Express the following relation as a graph: {(7,4), (9,8), (2,7), (10,0)}.

Vikentia [17]

Answer:

[In Picture]

Step-by-step explanation:

The relation is a function since there is one value of y for every value of x.

I hope you mean this...