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3 years ago

−4(x+3)+3(y+1) this needs to be simplified

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

5 0

First, distribute the numbers on the outside into their respective binomials.

-4(x) - 4(3) + 3(y) + 3(1)

-4x - 12 + 3y + 3

Now, combine like terms:

-4x + 3y - 9

Once there is no more simplifying to be done, you are left with your final answer, the above equation.

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You go to the store to buy icecream. The icecream comes in a cylindrical tub that has a diameter of 5 inches and is 4 inches tal

telo118 [61]

Answer:78.5

Step-by-step explanation:

First you find the volume of a cylinder then you plug in the answers don't forget that to find the radius you do diameter divided by 2

5 0

3 years ago

How do I solve these 3 equations ?

Arlecino [84]

Step-by-step explanation:

blue one ====> 3x+16 =9x+4 ( alternate angles)

>9x-3x=16-4

>6x=12

>x=2.

white one ====> 10x-2=9x+5 (corresponding angle)

>10x-9x=5+2

>x=7.

green one ====>8x+10=6x+30(vertically opposite angle)

>8x-6x=30-10

>2x=20

>x=10.

hope this helps you.

7 0

3 years ago

For what values of theta (0 less than or equal to theta less than or equal to 2pi) do maximum r values occur on the graph the po

9966 [12]

Answer:

Step-by-step explanation:

To find the values of the angle which makes maximum r you use the derivative of r

$\frac{dr}{d\theta}=\frac{1}{3}sin(3\theta)$

If you equals this derivative to zero you obtain the value of the angle:

$\frac{dr}{d\theta}=0\\\\cos3\theta=0\\\\3\theta=\frac{\pi}{2}\\\\\theta=\frac{\pi}{6}$

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal to 1.

hence, the answer is:

$\theta_1=\frac{\pi}{6} \\\\\theta_2=\frac{5\pi}{6}\\\\\theta_3=\frac{9\pi}{6}=\frac{3\pi}{2}$

answer b

7 0

3 years ago

Please help with this Circle Geometry question??

user100 [1]

(i) XYZ = 180 - 64
= 116 degrees
Opposite angles in a cyclic quadrilateral add up to 180 degrees

(ii) YXZ = 23 degrees
Alternate angles in a segment are the same

(iii) OXZ = 26
XOZ = 64 x 2
= 128 degrees
The the angle at the centre is double the angle at the circumference.
180 - 128 = 52
OXZ = 52/2
= 26
Triangle OZX is an isosceles triangle

(Don't forget to include the reasons above full marks)

3 0

3 years ago

Using the image above, what is the measure of Side AC? Round to the nearest hundredth

Evgesh-ka [11]

To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units

<h3>Trigonometric Ratio</h3>

In the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.

Data;

Angle = 32.9 degrees
Hypothenuse = 3.4

Let's use cosine rule for this.

$cos\theta = \frac{adjacent}{hypothenuse}$

Proceed to substitute the values into the equation and solve.

$cos 32.9 = \frac{AC}{3.4} \\AC=3.4cos32.9\\AC = 2.85$

From the calculations above, the value of side AC is 2.85 units

Learn more on trigonometric ratio here;

brainly.com/question/11967894

#SPJ1

3 0

2 years ago