1.a. correct
1.b.
1.c. correct
1.d.
2.a. 7 - x + 3w - 9
Terms: 7, -x, 3w, -9
Variables: x, w
Coefficients: -1, 3
Constants: 7, -9
2.b. -g + 8k - 3 - 7
Terms: -g, 8k, -3, -7
Variables: g, k
Coefficients: -1, 8
Constants: -3, -7
3.a. correct
3.b. correct
3.c. -5+ 4x = -x
4.a. 4(2x + 3) = 8x + 12
4.b. -2(3x + 4) = -6x - 8
4.c. -5(2x - 3) = -10x + 15
Answer:
60
Step-by-step explanation:
To check: half of 60 is 30, if 10 people leave that's 20, one third of 60 is 60/3 which = 20
A because b cos C, c sin C
9514 1404 393
Answer:
+70 or -70, depending on how you rewrite the equation
Step-by-step explanation:
A quadratic equation in standard form can be written as ...
ax² +bx +c = 0
When this equation is written in standard form, it could be either of ...
17x² +30x +40 = 0 . . . . . . . . . . add 17x²+30x to both sides
or
-17x^2 -30x -40 = 0 . . . . . . . . . subtract 40 from both sides
__
In the first case, a = 17, b = 30, c = 40 and (b+c) = 70.
In the second case, a = -17, b = -17, c = -40 and (b+c) = -70.
_____
<em>Additional comment</em>
I personally prefer a positive leading coefficient, but it is less work to subtract 40 from both sides than to subtract 2 terms from both sides. Check your curriculum materials for the preferred rewrite in this case.
Answer:
Length of the rectangle = 16 inches
Width of the rectangle = 12 inches
Step-by-step explanation:
Let the length of the rectangle be represented by x.
Then width can be expressed as
Perimeter of a rectangle is the sum of four sides of the rectangle.
This can be expressed as 2*(length + breadth)
=
=
=
But perimeter is given as 56.
So,
=>
=>
Hence length of the rectangle = 16 inches
Width of the rectangle = = 12 inches