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Artist 52 [7]
3 years ago
6

-16 + x=15 one step equation

Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer:

31

Step-by-step explanation:

- 16+x=15

x=15+16

x=31

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2. Solve the following equations for 0° Sx < 180°.
diamong [38]

Answer:

See below in bold.

Step-by-step explanation:

(1) cosec ( x + 10) = 3

Now cosec x = 1/sin x so

1 / sin (x + 10) = 3

3 sin (x + 10) = 1

sin (x + 10) = 1/3

x + 10 = 19.47 , 160.53 degrees

x = 9.47, 150.53 degrees.

(ii) cot (x - 30) =0.45

cot (x - 30)= 1 /tan (x- 30) so we have

tan (x - 30) = 1 / 0.45 = 2.2222

x - 30 = 65.77 degrees

x = 95.77 degrees.

5 0
3 years ago
Identifying the slope, y-intercept and x- intercept of each
Elena L [17]

Answer:

slope= -3

y-intercept= 6

Step-by-step explanation:

1. Approach

To solve this problem, one needs the slope and the y-intercept. First, one will solve for the slope, using the given points, then input it into the equation of a line in slope-intercept form. The one can solve for the y-intercept.

2.Solve for the slope

The formula to find the slope of a line is;

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Where (m) is the variable used to represent the slope.

Use the first two given points, and solve;

(1, 3), (2, 0)

Substitute in,

\frac{(0)-(3)}{(2)-(1)}

Simplify;

\frac{-3}{1}\\\\=-3

3. Put equation into slope-intercept form

The equation of a line in slope-intercept form is;

y = mx + b

Where (m) is the slope, and (b) is the y-intercept.

Since one solved for the slope, substitute that in, then substitute in another point, and solve for the parameter (b).

y=-3x+b

Substitute in point (3, -3)

-3=-3(3)+b\\-3 = -9 + b\\6 = b

4 0
2 years ago
Graph the image of square TUVW after the following sequence of transformations:
GuDViN [60]
Move the shape down by one quadrant and flip it so where “U” was at, “W” is in its place and Vice versa
4 0
2 years ago
What figure can be made with exactly 420 squares?
Natali [406]
5. The 5th figure will have 30 tiles.
6. The 6th figure will have 42 tiles.
7. The pattern is non-linear (quadratic).
8. The 20th figure can be made with 420 tiles.

_____
The Nth figure is made with n*(n+1) tiles. To answer question 8, you must solve
.. n(n +1) = 420
.. n^2 +n -420 = 0
.. (n +21)(n -20) = 0
.. n = 20 or -21 . . . . the negative solution is extraneous
4 0
2 years ago
Rouns thia number to the nearest thousand 1,995,298
alexdok [17]

1,995,000

The number after the thousands place is 2, which is less than 5 so the thousands place is rounded to 5,000 instead of 6,000.

7 0
3 years ago
Read 2 more answers
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