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Tems11 [23]
3 years ago
5

How many unit tiles need to added to the expression x^2+4x+3 to form the perfect square trinomial?

Mathematics
1 answer:
Nuetrik [128]3 years ago
7 0

x^2 + 4x + 3 + 1 = (x + 2)^2

So 1 need to be added.

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Triangle RST is rotated 180° about the origin, and then translated up 3 units. Which congruency statement describes the figures?
Mazyrski [523]

Answer: ΔRST ≅ ΔBAC


Step-by-step explanation:

We know that  To rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y).

Thus, The coordinates of Δ RST becomes

R (1,1) → R'(-1,-1)

S (3,4) → S'(-3,-4)

T(-5,0) → T'(5,0)

Also ΔRST after rotation is translated up 3 units. , so we apply the rule (x,y)→(x,y+3)

R'(-1,-1)→R"(-1,-1+3)=R"(-1,2)→ B

S'(-3,-4) → S"(-3,-4+3) = R"(-3,-1) → A

C'(-5,0) → C"(-5,0+3) → C"(-5,3) → C

As rotation and translation both are rigid transformation that maps only congruent figures.

Therefore, ΔRST ≅ Δ BAC


7 0
3 years ago
Read 2 more answers
If j // l, m<1 = 135, m<2 = 55, and m<3 = 45, list all other parallel lines. Justify your answers. Show work if any.
sergejj [24]

Answer:

Step-by-step explanation:

The supplement to ∠1 = 180°-135° = 45° = ∠3, so m is parallel to j and l.

∠2 ≠ 45° and ∠2 ≠ 135°, so k is not parallel to j, l, or m.

3 0
2 years ago
Almost done math solve pls
AleksandrR [38]

Answer:

2(2a - 3) - 3(4a + 5) \\  = 2 \times 2a - 2 \times 3 - (3 \times 4a + 3 \times 5) \\  = 4a - 6 - (12a + 15) \\  = 4a - 6 - 12a - 15 \\  =  - 8a - 21 \\ thank \: you

6 0
3 years ago
Read 2 more answers
10x - 3(4x + 1)
seraphim [82]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

10x - 12x - 3 does not equal -5x. Looks like what she did wrong was treating -3 as -3x and got her incorrect result that way

<u>Part B</u>

10x - 12x - 3 = (10-12)x - 3 = -2x - 3

3 0
2 years ago
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. What is 60% of 52?<br> SHOW WORK:
Bess [88]

Answer:

32.1% ( depending on question might have to round to 32% )

Step-by-step explanation:

60*52=3210

3210/100= 32.1

6 0
3 years ago
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