State the extremes of the proportion below. 4/7=12/x

2 answers:

7 0

$\frac{4}{7} = \frac{12}{x} \\ \\ 1. \: \frac{4}{7}x = 12 \\ \\ 2. \: \frac{4x}{7} = 12 \\ \\ 3. \: 4x = 12 \times 7 \\ \\ 4. \: 4x = 84 \\ \\ 5. \: x = \frac{84}{4} \\ \\ 6. \: x = 21$

Stels [109]3 years ago

4 0

Answer:

x=21

Step-by-step explanation:

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erastova [34]

Answer:the third one

Step-by-step explanation:

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8 0

3 years ago

Solve the radical equation. square root 6n-11= n – 3 Which solution is extraneous? A.)2

Anvisha [2.4K]

ANSWER

D) 10

EXPLANATION

We want to solve the radical equation,

$\sqrt{6n - 11} = n - 3$

Square both sides,

$6n - 11 = (n - 3) ^{2}$

Expand brackets on right hand side,

$6n - 11 = {n}^{2} - 6n + 9$

Rewrite in general quadratic equation form,

${n}^{2} - 12n + 20 = 0$

Factor to obtain,

$(n - 2)(n - 10) = 0$

Apply the zero product principle to get,

$n = 2 \: or \: n = 10$

We put n=2 into the equation to get,

$\sqrt{6(2) - 11} = 2 - 3$

$1 = - 1$

This statement is false, hence 2 is an extraneous solution

We put n=10, to get

$\sqrt{6(10) - 11} = 10 - 3$

$\sqrt{49} = 7$

$7 = 7$

This is true, hence the only solution is
$n = 10$

3 0

4 years ago

Read 2 more answers

Explanations not just answers: Sarah measures the angle of elevation to the top of a tree as 23.6 degrees from the point which i

Reika [66]

See the attached diagram.

In the right triangle, x is opposite the 23.6 degree angle, and the adjacent side is 250 m. This suggests using the tangent ratio.

$\frac{x}{250}=\tan 23.6 ^\circ \\ x=250 \cdot \tan 23.6^\circ \approx 109.2$

Finally, to get the height of the tree, add Sarah's height, 1.5 m.

The tree is approximately 110.7m tall.