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2 years ago

Below are two parallel lines with a third line intersecting them.

Mathematics

1 answer:

lesya [120]2 years ago

6 0

Answer:

x = 77

Step-by-step explanation:

no hablo ingles lo siento

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Find the surface area of the sphere with the given dimension. Leave your answer in terms of pi.

Brrunno [24]

The surface area of the sphere:
A = 4 r² π
1 ) r = 60 m;
A = 4 · 60² π = 4 · 3600 π = 14,400 π m²
2 ) Diameter of 14 cm:
r = 14 cm / 2 = 7 cm
A = 4 · 7² π = 4 · 49 π = 196 π cm²

5 0

3 years ago

Find two numbers that have a sum of 13 and a product of -14

san4es73 [151]

Answer:

Step-by-step explanation:

Because 6+7= 13 and 7 times -7 = -14

Make sure you go vote for my teacher link:

brainly.com/educator/nomination/adam-ericson/

5 0

2 years ago

Read 2 more answers

A new pain reliever is advertised as being 97%

Likurg_2 [28]

Answer:

B. 0.694

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the pain reliever is advertised as being 97% effective, for it to be effective in 12 independent trials

= (97%) ^ 12

= 0.693842361

The is approximately 0.694 to 3 decimal places

6 0

2 years ago

Read 2 more answers

Please help me (not a test question)

lara [203]

Answer:

Yes

Step-by-step explanation:

4 x 3 = 12

5 x 3 = 15

4 0

2 years ago

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago