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Rina8888 [55]
3 years ago
13

Find the distance between the points (0,-9) and(4,-6)

Mathematics
1 answer:
Len [333]3 years ago
8 0

Answer:

d=5

Step-by-step explanation:

1. use the distance formula: d=\sqrt{(x_{2} - x_{2} )^{2} +(y_{2} -y_{1} )^{2}

2. plug in the points: d=\sqrt{(0-4)^{2} +(-9+6)^{2}

3. solve problem inside parentheses: d=\sqrt{(-4)^{2} +(-3)^{2}

4. square -4 and -3: d=\sqrt{16+9

5. add:d=\sqrt{25

6. find square root: d=5

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A system of equations is given below. For what value(s) of x is f(x)=g(x) ?
NARA [144]

\large{f(x) = g(x)}   \\  \large{ {x}^{2}  + 3x = x + 3}

Since we are solving the quadratic equation because the highest degree in the equation is second. We arrange in the form of ax²+bx+c = 0.

\large{  {x}^{2}  + 3x - x - 3 = 0}

Combine like terms.

\large{ {x}^{2}  + 2x - 3 = 0}

Solve the equation by factoring.

\large{(x  + 3)(x - 1) = 0} \\  \large{x =  - 3,1}

Hence the values of x that make f(x) = g(x) are -3 and 1.

Answer

  • x = -3,1

Let me know if you have any doubts!

3 0
3 years ago
Work out the circumference of this circle.
Ksenya-84 [330]
Formula for circumference of circle:
C=2πr
here radius, r=4 cm and π=3.142
Put values in formula.
C=2(3.142)(4)
C=25.1 cm (Rounded to 1 decimal place)

Answer: Circumference of the circle is 25.1 cm (Rounded to 1 decimal place)
6 0
3 years ago
Can anybody help me with this equation?? :/
Ganezh [65]

Answer:

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Step-by-step explanation:

A full rotation takes 360°. From the picture, it would take 5 rotations to achieve such full degree rotation. Hence, each bit of rotation covers 360°÷5=72°

6 0
3 years ago
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Answer:I feel bad

Step-by-step explanation:

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