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3 years ago

What is the greatest common factor of the three terms? 36h, 12h6, 48h5

Mathematics

1 answer:

Helen [10]3 years ago

4 0

Answer:

Step-by-step explanation:

each term has h^1

each term's coefficient is divisible by 12

12h( 3, h^5, 4h^4)

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Use the Addition Formula for Cosine to prove the Double-Angle Formula for Cosine. cos(2x) = cos2(x) − sin2(x) Rewrite 2x as x +

andre [41]

Answer with Step-by-step explanation:

We are given that

LHS

$cos 2x$

To prove that

$cos 2x=cos^2x-sin^2 x$

$cos(x+x)$

We know that

$cos(x+y)=cos xcosy-sinx siny$

Using the formula

$cos(x+x)=cosx\cdot cosx-sinx\cdot sinx$

$cos2 x=cos^2 x-sin^2 x$

By using

$cosx\cdot cosx=cos^2 x$

$sinx\cdot sinx=sin^2 x$

LHS=RHS

Hence, proved.

3 0

2 years ago

two adjacent angles of a parallelogram are in the ratio 5:2: . find all the angles of the parallelogram

kicyunya [14]

<h2>Given :-</h2>

Two adjacent angles of a parallelogram are in the ratio of 5 : 2.

What is the all angles of the parallelogram.

<h3 /><h3 /><h2>Solution :-</h2>

Let, the first angles be 5x

And, the second angles will be 2x

As we know that,

★ Sum of all angles = 180° ★

According to the question by using the formula we get,

⇒ 5x+2x=180°

⇒7x=180°

⇒ $\sf x =\: \dfrac{\cancel{180^{\circ}}}{\cancel{7}}$

➠ $\sf\bold{\red{x =\: 25.7^{\circ}}}$

Hence, the required angles are,

First angles = 5x = 5(25.7°) = 128.5°
Second angles = 2(25.7°) = 51.4°

As we know that,

opposite angles in a parallelogram

is equal.

∴ The all angles of a parallelogram is 128.5°,51.4°, 128.5° and 51.4°.

6 0

2 years ago

If (−4, 11) and (−6, 5) are the endpoints of a diameter of a circle, what is the equation of the circle?

lora16 [44]

Answer:

A. $(x+5)^2+(y-8)^2=100$

Step-by-step explanation:

1. The standard form of the equation of a circle is $(x-h)^{2} + (y-k)^2=r^2$

2. To find the center we require the midpoint of the 2 given points

center = $[\frac{1}{2}(-4-6),\frac{1}{2}(11+5)]$

=(-5,8)

3. The radius is the distance from the centre to either of the 2 given points calculate the radius using the distance formula

d= $\sqrt{(x_{2}+x_{1})^{2} +(y_{2}-y_{1})^{2}$

let $(x_{1},y_{1})= (-5,8) \\$ and $(x_2,y_2)=(-4,11)$

r= $\sqrt{(-4+5)^2+(11-8)^2} =\sqrt{81+9}=10$

--> $(x-(-5)^2+(y-8)^2=10^2$

--> $(x+5)^2+(y-8)^2=100$

4 0

2 years ago

Read 2 more answers

– 2y – 10 = x<br> - 10x - y = -14

fredd [130]

Answer:

hey there guys ^^

Step-by-step explanation:

5 0

3 years ago

The sum of the real numbers x and y is 11. Their difference is 5. What is the value of xy

Veseljchak [2.6K]

Answer:

x=6 y=5

Step-by-step explanation:

3 0

3 years ago