What is the answer to s×6=93+13

Evaluate the replacement set for the following equation 2n - 3 < 9. replacement set : n = {2, 5, 0}

ad-work [718]

n = {2, 5, 0} holds true for 2n - 3 < 9

Solution:

Replacement set is the set of values that may be substituted for the variable.

Plug in each value from the replacement set and evaluate both sides of the inequality

If the inequality is true for a certain value, that value belongs in the solution set.

Given equation is:

2n - 3 < 9

Substitute n = 2

2(2) - 3 < 9

4 - 3 < 9

1 < 9

1 is less than 9 is true

Thus n = 2 is a solution to equation

Substitute n = 5

2(5) - 3 < 9

10 - 3 < 9

7 < 9

7 is less than 9 is true

Thus n = 5 is a solution to equation

Substitute n = 0

2(0) - 3 < 9

0 - 3 < 9

-3 < 9

-3 is less than 9 is true

Thus n = -3 is a solution to equation

7 0

4 years ago

A grid shows the positions of a subway stop and your house. The subway stop is located at (7,3) and your house is located at (4-

Kryger [21]

Answer:

9 units

Step-by-step explanation:

In a coordinate plane with point P( x , y) and Q(a,b ).

distance between these are points is given by equation

distance between PQ = $\sqrt{(x-a)^2 + (y-b)^2}$ .

Coordinate of subway stop = (7,3)

Coordinate of house = (4-5)

Therefore using the above the formula to calculate distance between

house and the subway stop is given by

distance = $\sqrt{(7-4)^2 + (3-(-5)^2}\\\\=>\sqrt{(3)^2 + (3+5)^2}\\\\=>\sqrt{9 + (8)^2}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{73}\\\\=>8.544$

Therefore, distance between house and the subway stop is 8.544 units.

But it is given that distance should be to the nearest unit.

any decimal value greater than or equal to .5 is equivalent to 1 in nearest unit.

Thus, 8.544 units is equivalent to 9 units (in nearest unit)

8 0

4 years ago

What is the standard form equation of an ellipse that has vertices (−2,14) and (−2,−12) and co-vertices (9,1) and (−13,1)?

Gennadij [26K]

Answer:

$\frac{(x+2)^2}{121} + \frac{(y-1)^2}{169} = 1$

Step-by-step explanation:

First, we identify that the vertices are vertical.
(an image below is attached if you want to see a visualization)
Therefore, the equation is such:

$\frac{(x-h)^2}{b^2} + \frac{(y-k)^2}{a^2} = 1$

(h,k) is the center of the ellipse, which we could easily calculate by finding the midpoint between any pair of vertices.

This gets us (-2, 1)

Therefore, h = -2, k = 1

Now we want to find a,

we know the length of the major axis is 2a, and in this case, our length of the major axis is 26. So a = 13

Now we want to find b,

We know the length of the minor axis is 2b, and in this case, our length is 22, so b = 11

Now we will just plug in all the values and simplify to get our answer! B)

4 0

2 years ago

Someone pleaseee help me on this :( what is the slope of the line that contains these points.

Papessa [141]

Answer:

6/1

Step-by-step explanation:

the reason is because the x is increasing by 1 which is the denominator, and the y is also increasing by 6 which is the numerator. if you were to imagine those lines on a graph you would get a straight line and use rise over run to see that the slop is in fact 6/1

8 0

3 years ago

Read 2 more answers

Use a calculator to find the value of t. Round to the nearest thousandth. T=ln 1.5-3

spin [16.1K]

Answer:

-2.595

Step-by-step explanation:

When inputting this function into your calculator, we need to be aware of a couple things:

1.) his is ln(1.5) - 3, and not ln(1.5-3). Negative numbers cannot be put into the natural log function.

2.) That is because lnx is another way of saying $log_{e}x$ . If you're having trouble finding ln on the calculator, use logx/loge (an odd rule that you'll learn soon from the looks of it.)

8 0

3 years ago