Solve the equation for y. 8x – 9y = 11a. .y=-9/8x-9/11
b. .y=9/8x 11/8
c. .y=-8x-11
d. .y=8/9x-11/9

Answer:

1 5/36

Step-by-step explanation:

need a common denominator which would be 36

to get from 9 to 36 you multiply by 4 so 5 would be multiplied by 4 to get the fraction 20/36

do the same with 7/12 12x3 is 36 and 7x3 is 21 so 21/36

then add 20+21=41

put over 36       41/36

Find if you can lower it which you can:

41 is bigger than 36 by 5 so your ending fraction would be 1 and 5/36 because 5 and 36 don't have a common factor.

Question:

Which three-dimensional figures have lateral faces that are polygons? check all that apply.

- cones

- cylinders

- hemispheres

- prisms

- pyramids

- spheres

Answer:

The correct choices are;

- prisms and

- pyramids

Step-by-step explanation:

A polygon is a figure closed or bounded with several straight line segments and polygons are named based on how many sides, side size and sizes of angles that they have present.

A three sided polygon for example is called a triangle

A lateral face are the faces of a prism except the base

Based on the definitions, we note that out of the options, only prisms, and pyramids have lateral faces that are made up entirely of straight line segments, hence polygons. Therefore, the correct choices are prisms and pyramids.

Answer:

Actually the correct is Cylinders, Prisms, and Pyramids. I just did it

Step-by-step explanation:

Answer:

The secant of angle x; sec x = √17

Step-by-step explanation:

Here, given the tangent of an angle, we want to find the value of the secant

Mathematically;

sec^2 x = 1 + tan^2 x

This is from trigonometric identity

Thus;

sec x = √(1 + tan^2 x)

According to the question;

tan x = 4

So tan^2 x = 4^2 = 16

Thus;

sec x = √1 + 4^2

sec x = √17

Answer:

y = 255x + 6559

Step-by-step explanation:

Function Modeling

We have the following relationship between the minutes into the ride (x) and the elevation of the tram (y):

x={2,5,9,14}

y={7069,7834,8854,10129}

We first test if the relationship is linear or not.

A linear relationship is tested by calculating the slope from any pair of points.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

Selecting the first two points (2,7069) and (5,7834)

m = 255

Selecting the first two points (5,7834) and (9,8854)

m=255

If we repeat the calculation with any pair of points, we get the same value for the slope, thus we can conclude the relationship is linear.

Using the point-slope form of the line:

y - k = m( x - h )

We select the point (2,7069)

y - 7069 = 255( x- 2 )

Operating:

y - 7069 = 255x - 510

Adding 7069:

y = 255x - 510 + 7069

y = 255x + 6559

Answer :

Explanation :

when we multiply two values in scientific notation with the same base,their powers get added .