Which expression is the factorization of x2 10x 21? (x 3)(x 7) (x 4)(x 6) (x 6)(x 15) (x 7)(x 14)

Mathematics

1 answer:

Leona [35]2 years ago

6 0

$\large\color{pink}{{★ƛƝƧƜЄƦ ↦}}$

$\purple{ \bf{Let's \: solve→}}$

$\sf{↪ {x}^{2} + 10x + 21} \\ \\ \sf{↪by \: splitting \: middle \: term} \\ \\ \sf{↪ {x}^{2} + 7x + 3x + 21} \\ \\ \sf{↪taking \: common} \\ \\ \sf{↪x(x + 7) + 3(x + 7)} \\ \\ \sf{↪(x + 3)(x + 7) \: is \: yr \: answer}$

$\sf{\:мѕнαcкεя\: ♪...}$

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Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below.

Marrrta [24]

Answer:

B'(16,14)

Step-by-step explanation:

First find the coordinates of the vertex B. The center of the square M is the midpoint of the diagonal AC. Since A(2,7) and C(8,1), the center has coordinates

$M\left(\dfrac{2+8}{2},\dfrac{7+1}{2}\right)=M(5,4).$

Point M is also the midpoint of the diagonal BD. Let B has coordinates (x,y), then

$\dfrac{x+2}{2}=5\Rightarrow x=8,\\ \\\dfrac{y+1}{2}=4\Rightarrow y=7.$

Hence, B(8,7).

Now, the dilation by a scale factor 2 with the center of dilation at the origin has the rule

(x,y)→(2x,2y).

Thus,

B(8,7)→B'(16,14).

8 0

3 years ago

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S_A_V [24]

Answer:

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Step-by-step explanation:

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