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3 years ago

Question 1

Mathematics

1 answer:

Hatshy [7]3 years ago

8 0

Answer:

√85 units

Step-by-step explanation:

If we move from (-1, 4) to (6,-2), we see x (the run) increasing by 7 and y (the rise) decreasing by 6.

The distance between these two points is found using the Pythagorean Theorem:

d = √ [7² + 6²] = √85 units (we cannot leave off the " √ " operator). Compare this to the 3rd answer choice.

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The table below shows the educational attainment of a country's population, aged 25 and over. Use the data in the table, express

Aloiza [94]

Answer:

The answer is " $\bold{\frac{22}{171}}$ "

Step-by-step explanation:

There are 22 million males that have completed four years of undergraduate, according to the data below: (or more). This is predicated on a population of 171 million.

The chances we're searching about $\frac{(22\ million)}{(171\ million)} = \frac{22}{171}$

however

This proportion could be further reduced because 22 and 171 have no common features (other than 1).

3 0

3 years ago

Please help due today!!!!!

fgiga [73]

The correct is the second choice

4 0

3 years ago

Twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary a

Ksju [112]

Answer:

Shown

Step-by-step explanation:

Given that twelve basketball players, whose uniforms are numbered 1 through 12, stand around the center ring on the court in an arbitrary arrangement.

Let us consider consecutive numbers in this set.

$1+2+3 =6$

After this we find the totals are more than 20.

When 1 to 12 are arbitrarily arranged, there are chances that numbers from 6 and above are having consecutive numbers.

These totals are greater than 20

Hence shown that some three consecutive players have the sum of their numbers at least 20.

(i.e. starting from if we take)

6 0

3 years ago

Derive the equation of the parabola with the focus <br> is (-7,5) and the directrix of y=-11

Volgvan

So, notice, the focus point is at -7, 5, and the directrix is at y = -11.

keep in mind that the vertex is half-way between those two fellows, and the distance from the vertex to either one of them is "p" units, check the picture below.

with that focus point and that directrix, the half-way over the axis of symmetry will be -7, -3, that's where the vertex is at, and notice the distance "p", is 8 units.

since the parabola is opening upwards, "p" is positive 8.

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
4p(x- h)=(y- k)^2
\\\\
\boxed{4p(y- k)=(x- h)^2}
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ( h, k)\\\\
 p=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
h=-7\\
k=-3\\
p=8
\end{cases}\implies 4(8)[y-(-3)]=[x-(-7)]^2
\\\\\\
32(y+3)=(x+7)^2\implies y+3=\cfrac{1}{32}(x+7)^2
\\\\\\
y=\cfrac{1}{32}(x+7)^2-3$

8 0

3 years ago

Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.f(x)=(3x-4)(-6x+5)

Umnica [9.8K]

At first glance, it might be tempting to say this is a linear function, because we see linear terms (3x and –6x); however, these are multiplied together, so it's actually a quadratic.

We need to expand the function (hint: use FOIL) to identify the terms.

$f(x)=(3x-4)(-6x+5)=-18x^2+39x-20$

The x^2-term, or quadratic term, is $-18x^2$ . The x-term, or linear term, is $39x$ . The number term, or constant term, is –20.

4 0

4 years ago