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3 years ago

Algebra! Please help and explain it.

Mathematics

1 answer:

kenny6666 [7]3 years ago

3 0

Answer:

Part of mathematics in which letters and other symbols are used to represent numbers and quantities in formula and equation Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis

Step-by-step explanation:

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Simplify the expression <br> (Show work if you can)

Alborosie

This equation can be written as

(v-8)(v+5)/ (v-8)(v-3)
= v+5/v-3

4 0

3 years ago

A parabola can be drawn given a focus of (8, -1)(8,−1) and a directrix of y=-11y=−11. Write the equation of the parabola in any

Sav [38]

Answer:

(x - 8)² = 20(y + 6)

Step-by-step explanation:

The focus of the parabola is (8,-1) and the equation of the directrix is y = - 11.

So, the parabola opens up and the axis of symmetry is x = 8 line.

Now, the axis of symmetry and the directrix meet at the point (8,-11).

So, the vertex of the parabola will be the midpoint of (8,-1) and (8,-11) i.e. (8,-6).

Now, half of the distance between the focus and the directrix is = a = $\frac{11 - 1}{2} = 5$ units.

So, the equation of the parabola in vertex form will be

(x - 8)² = 4 × 5 × (y + 6)

⇒ (x - 8)² = 20(y + 6) (Answer)

6 0

3 years ago

jill lives 3 1/2 from school then a car broke down 2/3 the way there how much more does jill hve to walk

BlackZzzverrR [31]

$\frac{21}{6} - \frac{4}{6} = \frac{17}{6}$

Or you can simplify it to 2 $\frac{5}{6}$

7 0

3 years ago

Answer fast please will give brainliest

DIA [1.3K]

Answer:

Approximately 14.65 kilometers.

Step-by-step explanation:

Please refer to the drawing.

So, to find our distance, we essentially just need to find the value of x.

To do so, we can use the Law of Sines.

Note that ∠a corresponds to the 12km, and ∠c corresponds to x.

So, let's find each of the angles first.

Note that from our ending point, the bearing to the lighthouse is 125°.

This means, if you refer to the drawing:

$a+b=90$

This is because they are complementary.

We also know that:

$90+b=125$

From our bearing.

So, let's solve for b. Subtract 90 from both sides:

$b=35$

Substitute this back into our first equation to acquire:

$a+35=90$

Subtract 35 from both sides:

$a=55\textdegree$

Now, we can use the fact that the interior angles of a triangle sum to 180 to find c. We already know that one angle is 36 and the other is 55. So:

$36+55+c=180$

Add:

$91+c=180$

Subtract 91 from both sides:

$c=89\textdegree$

Now, we can use the Law of Sines, which states:

$\frac{\sin(A)}{a}=\frac{\sin(B)}{b}=\frac{\sin(C)}{c}$

It doesn't really matter which ratio we use as long as we align the sides and angles correctly.

Recall that ∠a correspond to 12km while ∠c corresponds to x.

So, let's substitute 12 for a, 55 for A, x for b, and 89 for B. This yields:

$\frac{\sin(55)}{12}=\frac{\sin(89)}{x}$

So, to find the distance traveled, we just have to find x.

Cross-multiply:

$12\sin(89)=x\sin(55)$

Divide both sides by sin(55). This yields:

$x=\frac{12\sin(89)}{\sin(55)}$

Divide. Use a calculator. Make sure you're in Degrees mode. This gives us:

$x\approx14.65$

So, the ship approximately traveled 14.65 kilometers from Point A to Point B.

And we're done!

7 0

3 years ago

What times what times what equal 216

Leno4ka [110]

8 times 27 equals 216

5 0

4 years ago

Read 2 more answers