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3 years ago

Write the equation of the line that is

Mathematics

1 answer:

o-na [289]3 years ago

6 0

Answer:

y=5/6x+19

Step-by-step explanation:

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The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has

mariarad [96]

Answer:F(x)=-x2-3

Step-by-step explanation:We are given a function:

The graph of is also shown in the given question figure.

It is a parabola with vertex at (0,0).

Sign of is positive, that is why the parabola opens up.

General equation of parabola is given as:

Here, in G(x), a = 1

Vertex (h,k) is (0,0).

As seen from the question figure,

The graph of F(x) opens down that is why it will have:

Sign of as negative. i.e.

And vertex is at (0,-3)

Putting the values of a and vertex coordinates,

Hence, the equation of parabola will become:

6 0

2 years ago

Find the simple interest.

forsale [732]

Answer:

$35.20

Step-by-step explanation:

S.I. = (P×R×T)/100

=(160×5.5×4) /100

= (640×55) / 100×10

= (64×55) / 100

= 3520 / 100

= $ 35.20

brainliest plz

3 0

2 years ago

Solve 15 3/4 ÷ 2 5/8 × 5 5/6 ÷ 8 2/5

fenix001 [56]

Answer:

4 1/6

Step-by-step explanation:

15 3/4 ÷ 2 5/8 × 5 5/6 ÷ 8 2/5

assuming this order of operations:

(15 3/4 ÷ 2 5/8) × (5 5/6 ÷ 8 2/5)

63/4 x 8/21 = 505/84 = 6

35/6 x 5/42 = 175/252

6 x 175/252 = 1050/252 = 4 42/252 = 4 1/6

8 0

3 years ago

For positive acute angles A and B, it is known that cos A= 20/29 and tan B= 11/60. Find the value of cos(A + B) in simplest form

jek_recluse [69]

Answer:

$\displaystyle \cos(A + B) =\frac{969}{1769}$

Step-by-step explanation:

We are given that:

$\displaystyle \cos A=\frac{20}{29}\text{ and } \tan B=\frac{11}{60}$

Where A and B are positive acute angles.

And we want to find cos(A + B).

Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:

$o=\sqrt{29^2-20^2}=21$

Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:

$h=\sqrt{11^2+60^2}=61$

In summary:

With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.

With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.

We can rewrite our expression as:

$\displaystyle \cos(A+B)=\cos A\cos B-\sin A\sin B$

Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:

$\displaystyle \cos(A + B)=\left(\frac{20}{29}\right)\left(\frac{60}{61}\right)-\left(\frac{21}{29}\right)\left(\frac{11}{61}\right)$

Simplify:

$\displaystyle \cos(A + B) =\frac{1200-231}{1769}=\frac{969}{1769}$

3 0

3 years ago

Which pair of numbers is relatively prime

VladimirAG [237]

D 273 and 333 hope this helps

4 0

3 years ago

Read 2 more answers