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andreyandreev [35.5K]
3 years ago
13

How do you do this problem?

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0

check the picture below.


GH = -6 + 2(8) = 10.

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A+B = 30. A:B is equivalent to 2:3. Find two whole numbers that satisfy the two conditions.
Valentin [98]
I think the 2 numbers would be 12 and 18. Hope this helps.
4 0
3 years ago
Pic below ......................................
nekit [7.7K]

Answer:

d = \sqrt{65}

Step-by-step explanation:

We need to find the distance between the points (5, 2) and (1, 9). In order to do this, we will use something called the distance formula. The distance formula is written as follows:

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

Now we need to plug in our points which we have given in the form (x, y):

d = \sqrt{(5-1)^{2}+(2-9)^{2}}

Next, perform the operation of subtraction inside the parentheses to simplify:

d = \sqrt{(4)^{2}+(-7)^{2}}

The exponent is the next step in the order of operations, so square 4 and -7:

d = \sqrt{16+49}

Finally, add 16 to 49:

d = \sqrt{65}

The square root of 65 cannot be simplified further, but an approximation can be made.

\sqrt{65}  ≈ 8.062257748

7 0
2 years ago
Colossus Added to six flags st. Louis in 1986, the Colossus is a giant Ferris wheel. Its diameter is 165 feet, it rotates at a r
NemiM [27]

Given:

D=165 feet and the frequency of the motion is 1.6 revolutions per minute.

Solution:

The radius is half of the diameter.

The radius of the wheel is 82.5 feet.

T=\frac{1}{1.6} \text{ minutes}

As we know: \omega=\frac{2\pi}{T}

Substitute the value of T in the above formula.

\omega=\frac{2\pi}{\frac{1}{1.6}}\\\omega=3.2\pi

If the center of the wheel is at the origin then for t=0 the rest position is -a.

This can be written as:

h(t)=-a\cos(\omega t)\\h(t)=-82.5cos(32.\pi t)

The actual height of the rider from the ground is:

h(t)=\text{ Initial height from bottom}+\text{ radius}-82.5\cos(3.2\pi t)\\h(t)=15+82.5-82.5\cos(3.2\pi t)\\h(t)=97.5-82.5\cos(3.2\pi t)

The required equation is h(t)=97.5-82.5\cos(3.2\pi t).

3 0
3 years ago
Y = −3x <br> x + y = −4<br> Solution system
Verizon [17]

Answer:

Step-by-step explanation:

Y = - 3x. Equation 1

x + y = - 4 equation 2

Putting value of y

x + (-3x) = - 4

x - 3x = - 4

-2x = - 4

x = - 4/-2 = 2

Putting value of x in the equation 1

Y = - 3(2)

Y = - 6

7 0
3 years ago
What is the coefficient of the x9y-term in the binomial expansion of (2y 4x3)4?
Sonbull [250]
The binomial expansion: T_{k+1}=  \frac{n!}{(n-k+1 )!}a^{n-k} b^{k}
a = 2y,  b = 4 x^3, n = 4
( x )^3k = x^ 9
k = 3
T_{4}= \frac{24}{6}(2y) ^{3-1} (4x^{3} )^{3}
T4=512 x^{9} y
Answer: the coefficient is 512.

 
4 0
3 years ago
Read 2 more answers
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