A rectangle has a length that is five feet more than three times its width. The perimeter of the

Mathematics

1 answer:

Ganezh [65]3 years ago

6 0

The answer is 2 times 33

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The midpoint of AB is M(3,-1).If the coordinates of A are (8,4) what are the coordinates of B

Alchen [17]

Answer:

B(-2,-6)

Step-by-step explanation:

The midpoint of AB is M, then A(8,4), M(3,-1)

So we can find:

$x_{B} =2x_{M} -x_{A}= 2*3-8= -2\\y_{B}= 2y_{M} -y_{A} = 2*(-1)- 4= -6\\$

then B(-2,-6), hope that useful.

6 0

4 years ago

Sarah Liskow was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 810 p

weeeeeb [17]

Answer:

150 one point throws, 165 two points throws and 110 three points throws

Step-by-step explanation:

Let x be the number of free (one point) throws.

The number of free throws Sarah made was 15 less than the number of two-point field goals she made. If y is the number of two points throws, then

$x=y-15$

so the number of two points throws $=x+15$

The number of two-point field goals that Sarah made was 55 less than double the number of three-point field goals she made. If z is the number of three points throws, then

$y=2z-55\\ \\2z=y+55\\ \\2z=x+15+55\\ \\2z=x+70\\ \\z=\dfrac{1}{2}x+35$

so the number of three points throws $=\dfrac{1}{2}x+35$

The total score is 810 points, so

$x\cdot 1+(x+15)\cdot 2+\left(\dfrac{1}{2}x+35\right)\cdot 3=810\\ \\x+2x+30+1.5x+105=810\\ \\4.5x=810-30-105\\ \\4.5x=675\\ \\x=150\\ \\x+15=150+15=165\\ \\\dfrac{1}{2}x+35=\dfrac{1}{2}\cdot 150+35=75+35=110$