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Alinara [238K]
3 years ago
14

Which linear function represents the line given by the point-slope equation y 1 = –3(x – 5)?

Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0
Belowwwwwwwwwwwwwwwwwwww

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Find the equivalent expression to 3(4m-2) -2(m+5)
leva [86]
3(4m-2)-2(m+5)
Distribute 3 into the equation
12m-6 than do the same with -2
-2m-10
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Given: m∠A = m∠C = 90° AB ║ DC Prove: ∆ABD ≅ ∆CBD
Genrish500 [490]

Answer:

Angle-Angle-Side (AAS)

Step-by-step explanation:

Given triangles; ΔABD and ΔCBD

  <A = <C = 90^{0} (right angle property)

   AB ║ DC (given)

Then,

    DA ║ CB

   <B ≅ <D (congruent property)

    DB ≅ BD (similarity property)

    <D + <B = <B + <D (complementary angles, and property of triangles)

Therefore by Angle-Angle-Side (AAS),

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2 years ago
Factorise x squared + 4x + 3 ​
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<h3>Answer:  (x+1)(x+3)</h3>

===================================================

Explanation:

Let's assume it factors into (x+a)(x+b)

The goal is to find the two numbers a and b.

FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab

Note how a+b is the middle term and ab is the last term.

In the original expression, 4 is the middle term and 3 is the last term.

So we need to find two numbers that

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  • multiply to 3

There are two ways to multiply to 3 and they are

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  • -1 times -3 = -3

But only the first way has the factors add to 4. So that means a = 1 and b = 3.

Therefore (x+a)(x+b) = (x+1)(x+3)

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

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3 years ago
The table shows the number of each type of toy in a store. The toys will be placed on shelves so that each shelf has the same nu
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Hai! You're gonna need 15 shelves for all those toys. X)

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What is the product of (3 the square root of 8)(4 the square root of 3)? Simplify your answer
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3\sqrt{8}\cdot4\sqrt{3} \\12\sqrt{24} \\12\cdot2\sqrt{6} \\\boxed{24\sqrt{6}}

8 0
3 years ago
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