Answer:
(3x + 2)(x-4)
Step-by-step explanation:
3x² - 10x - 8 = 0
(splitting the middle term)
3x² -12x + 2x -8 = 0
3x(x-4) + 2(x-4) = 0
(3x + 2)(x-4) = 0
(3x + 2)(x-4) is the correct answer (option a)
(2x+y) * 2 = 4x+2y |
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4x+2y+3
2(1)+3
2+3
<u>5</u>
Answer:
∠4 and ∠3
∠4 and ∠5
∠3 and ∠6
Step-by-step explanation:
A pair of angles is said to be supplementary when the 2 angles add up to give 180°.
Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.
Thus, since m< 3 is given as 90°, m<4 = 90°.
m<4 + m<3 = 180°.
Therefore, <4 and <3 are supplementary.
<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.
Answer: they have
et n = number of nickels
Let d = number of dimes
given:
(1) +n+%2B+d+=+45+
(2) +5n+%2B+10d+=+360+
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Multiply both sides of (1) by 5
and subtract (1) from (2)
(2) +5n+%2B+10d+=+360+
(1) +-5n+-+5d+=+-225+
+5d+=+135+
+d+=+27+
and, since
(1) +n+%2B+d+=+45+
(1) +n+%2B+27+=+45+
(1) +n+=+45+-+27+
(1) +n+=+18+
She had 18 nickels and 27 dimes
check:
(2) +5%2A18+%2B+10%2A27+=+360+
(2) +90+%2B+270+=+360+
(2) +360+=+360+
Step-by-step explanation:
9514 1404 393
Explanation:
1. The general form of a quadratic in standard form* is ...
An example is ...
The constant c is the y-intercept, so is the easiest bit of information to obtain in this form.
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2. The general form of a quadratic in vertex form can be written as ...
An example is ...
The ordered pair (h, k) is the vertex of the parabola, so is easy to obtain in this form. Arguably, it may be easier to identify the line of symmetry, x=h, since that requires looking at only one constant, instead of two.
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* In the UK, "standard form" is vertex form.
