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BaLLatris [955]
3 years ago
6

At a basketball​ game, a team made 58 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 99 po

ints in all. Write and solve a system of equations to find the number of each type of shot.
Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Step-by-step explanation:

Step-by-step explanation:

1.Right

2.Left

3.Bottom Middle

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A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.
Kobotan [32]

Answer:

The numbers are

-2+3\sqrt{5}   and 3\sqrt{5}

Step-by-step explanation:

Let

x -----> the smaller positive real number

y -----> the larger positive real number

we know that

A positive real number is 2 less than another

so

x=y-2

y=x+2 ----> equation A

When 4 times the larger is added to the square of the smaller, the result is 49

so

4y+x^2=49 ----> equation B

substitute equation A in equation B

4(x+2)+x^2=49

solve for x

x^2+4x-41=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+4x-41=0

so

a=1\\b=4\\c=-41

substitute in the formula

x=\frac{-4\pm\sqrt{4^{2}-4(1)(-41)}} {2(1)}

x=\frac{-4\pm\sqrt{180}} {2}

x=\frac{-4\pm6\sqrt{5}} {2}

x=-2\pm3\sqrt{5}

so

The positive real number is

x=-2+3\sqrt{5}

Find the value of y

y=x+2

y=-2+3\sqrt{5}+2

y=3\sqrt{5}

6 0
3 years ago
Graph the line that is parallel to y = 3x - 7 that passes through the point (2, 1)
Misha Larkins [42]

Answer:

y = 3x - 5

y = 3x - 7

y = 3x + b

1 = 3(2) + b

1 = 6 + b

-5 = b

y = 3x - 5

7 0
3 years ago
Find the volume of the cone round to the nearest tenth
svlad2 [7]

Answer:

pi*2^2*2sqrt3/3

if pi=3

8sqrt3

Step-by-step explanation:

5 0
3 years ago
Can anyone help me please? I forget how to do this I need the answer quick
vladimir1956 [14]

Answer:

Domain is R ( all real numbers)

Range is R (all real numbers)

3 0
3 years ago
In rectangle ABCD, AB=8 units and BC=15 units. Find BD
BabaBlast [244]

Answer:


Step-by-step explanation:


5 0
3 years ago
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