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1 year ago

Can anyone solve it.??

Mathematics

2 answers:

bulgar [2K]1 year ago

3 0

The answer will be f √7 / 3 + 5 √7 / 14.

Kruka [31]1 year ago

3 0

$\dfrac{\sqrt7}{3}+\dfrac{5}{2\sqrt7}=\dfrac{\sqrt7}{3}+\dfrac{5\sqrt7}{14}=\dfrac{14\sqrt7}{42}+\dfrac{15\sqrt7}{42}=\dfrac{29\sqrt7}{42}$

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Please solve for the maximum value f(x) = -2x^2 - 12x - 16

Natasha2012 [34]

Answer:

-2(x+4)(x+2)

Step-by-step explanation:

thats the answerer

7 0

2 years ago

2 angles are supplementary. The measure of one angle is one-third of the other. Find the measure of BOTH angles.

morpeh [17]

Answer:

45° and 135°

Step-by-step explanation:

let one angle be "x" and the other be "y"

Angles which are supplementary total to 180°. This can be represented with the equation:

x + y = 180

If angle "x" is a third of angle "y", the situation is represented with this equation:

(1/3)x = y

Since fractions are difficult to work with, multiply the whole equation by 3.

(1/3)x = y <= X 3

x = 3y

Use the equations x+y=180 and x=3y.

You can substitute x=3y into x+y=180.

x + y = 180

(3y) + y = 180 <=combine like terms

4y = 180 <=isolate y by dividing both sides by 4

y = 45

Substitute y=45 itno the equation x+y=180 to find x.

x + y = 180

x + 45 = 180 <=isolate x by subtracting 45 from both sides

x = 135

Therefore the angles are 45° and 135°.

5 0

2 years ago

Read 2 more answers

Solve the following system of equations and show all work. y = -x^2 + 4 y = 2x + 1

Pavel [41]

-x^2 + 4 = 2x + 1
-x^2 - 2x + 4 - 1 = 0
-x^2 - 2x + 3 = 0
(x + 3)(-x + 1)= 0

x + 3 = 0 -x + 1 = 0
x = -3 -x = -1
x = 1

so x = -3 and x = 1

8 0

3 years ago

What is not a description of slope?

Gelneren [198K]

Answer:

Option (d) is wrong.

Step-by-step explanation:

Slope is:

rise over run
The rate of change of a line
Change in y over the change in x
The ratio of vertical change to the horizontal change.

It can be given by mathematically as follows :

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{and}\\\\m=\dfrac{dy}{dx}$

Hence, the option which is not a description of slope is (d) "the ratio of horizontal change compared to vertical change"

7 0

3 years ago

A statue is mounted on top of a 21 foot hill. From the base of the hill to where you are standing is 57feet and the statue subte

AleksandrR [38]

Please find the attached diagram for a better understanding of the question.

As we can see from the diagram,

RQ = 21 feet = height of the hill

PQ = 57 feet = Distance between you and the base of the hill

SR= h=height of the statue

$\angle SPR$ =Angle subtended by the statue to where you are standing.

$\angle x=\angle RPQ$ = which is unknown.

Let us begin solving now. The first step is to find the angle $\angle x$ which can be found by using the following trigonometric ratio in $\Delta PQR$ :

$tan(x)=\frac{RQ}{PQ} =\frac{21}{57}$

Which gives $\angle x$ to be:

$\angle x=tan^{-1}(\frac{21}{57})\approx20.22^{0}$

Now, we know that $\angle x$ and $\angle SPR$ can be added to give us the complete angle $\angle SPQ$ in the right triangle $\Delta SPQ$ .

We can again use the tan trigonometric ratio in $\Delta SPQ$ to solve for the height of the statue, h.

This can be done as:

$tan(\angle SPQ)=\frac{SQ}{PQ}$

$tan(7.1^0+20.22^0)=\frac{SR+RQ}{PQ}$

$tan(27.32^0)=\frac{h+21}{57}$

$\therefore h+21=57tan(27.32^0)$

$h\approx8.45 ft$

Thus, the height of the statue is approximately, 8.45 feet.

3 0

3 years ago

Can anyone solve it.??​

Can anyone solve it.??