None of the answers about
Step-by-step explanation:
3)
2x + 3y = 12
Solve for y. Then you have y = mx + b, and m is the slope.
3y = -2x + 12
y = -2/3 x + 12
slope = -2/3
6x - 4y = 8
-4y = -6x + 8
y = -6/(-4) x + 8/(-4)
y = 3/2 x - 2
slope = 3/2
Since the slopes -2/3 and 3/2 are opposite reciprocals, the lines are perpendicular.
4)
3x - 4y = 12
-4y = -3x + 12
y = -3/(-4) x + 12/(-4)
y = 3/4 x - 3
slope = 3/4
4x + 3y = 15
3y = -4x + 15
y = -4/3 x + 5
slope = -4/3
Since the slopes 3/4 and -4/3 are opposite reciprocals, the lines are perpendicular.
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1.
You can use the sine rule
a / sinA = b / sinB
Substitute the values in:
15 / sin112 = b / sin33
Multiply both sides by sin(33) to get b by itself
b = (15 / sin112) x sin33
Calculate this to get your answer of:
BC = 8.8 cm
2.
You can also use the sine rule here
sinA / a = sinB / b
Sub your values in:
sin84 / 32.4 = sin(y) / 21
Multiply both sides by 21 to isolate sin(y)
(sin84 / 32.4) x 21 = sin(y)
Calculate sin(y)
sin(y) = 0.6445975248
You now need to sin-1 this value to get u:
y = 40.13550596
To 1d.p, y = 40.1 degrees
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Answer:
$317.20
Step-by-step explanation:
hope this is right and hope it helps:D
Any addition sentence would be a number plus a number (and any other numbers added in a sequence, if applicable) with and "equal sign", or the words "is equal to" (or, "are equal to", if applicable"), or "equals", followed by the correct number.
Or, although rarely used, any addition sentence could be written as, say:
"The sum of "4 + 4" is equal to "8".
Any addition sentence can be written symbolically, such as: 4 + 2 = 6 .
It is an "addition sentence" because it can be "pronounced" as:
"Four plus two equal six."
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Also an addition sentence can correspond to a picture or diagram; the addition sentence does have to include any units.
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In the case of a picture with 4 rows with 3 items in each row, one may think this seems like a multiplication problem; e.g. "3 x 4 = 12."
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However, since the question being asked requires an addition sentence, we have to write this as a sum. We do this by using the conceptual principle that "3 *4" is like adding the number "3" (three) together, 4 (four) times.
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So, the answer would be: " 3 + 3 + 3 + 3 = 12 ."
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