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2 years ago

Factor the following trinomials. Place each factor in its own blank. You do NOT need to put

Mathematics

1 answer:

den301095 [7]2 years ago

7 0

Answer:

(x+9)(x+4)

Step-by-step explanation:

We wish to factor x²+13x+36 into the form of (x+p)(x+q) where p+q=13 and pq=36.

Factors of 36: 1, 2, 3, 4, 6, 9, 12. 18, 36

Notice that 9+4=13 as 9*4=36, which satisfies the values of p and q

This means x²+13x+36 can be factored into (x+9)(x+4)

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PLease hep me Im in a huge rush

Ratling [72]

X=52 (vertically opposite angles)

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3 years ago

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Grace [21]

Answer:

5) arccos A = 28°

6) arcsin A = 53°

Step-by-step explanation:

5) cos A = 30/34

6) sin A = 32/40

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2 years ago

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Joe is building a post for his mailbox. To find the correct dimensions, he needs to expand this expression: (x-3) (x-9) (x-4) Se

kolbaska11 [484]

Answer:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

Step-by-step explanation:

Given:

The expression to expand is given as:

$(x-3)(x-9)(x-4)$

Let us expand the first two binomials of the given expression using FOIL method.

The FOIL method states that:

$(a + b)(c + d) = ac + ad + bc + bd$

$(x-3)(x-9)=(x\times x)+(x\times -9)+(-3\times x)+(-3\times -9)\\\\(x-3)(x-9)=x^2-9x-3x+27=x^2-12x+27$

Now, let us multiply the result with the remaining binomial. Multiplying each term of the trinomial with each term of the binomial, we get:

$(x^2-12x+27)(x-4)\\\\= (x^2\times x)+ (x^2\times -4)+(-12x\times x)+(-12x\times -4)+(27\times x)+(27\times -4)\\\\=x^3-4x^2-12x^2+48x+27x-108\\\\=x^3-16x^2+75x-108...........(\because-12x^2-4x^2=-16x^2,48x+27x=75x)$

Therefore, the equivalent expression after expanding is given as:

$(x-3)(x-9)(x-4)=x^3-16x^2+75x-108$

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2 years ago

A) For AQRS use the Triangle Proportionality Theorem to solve for x.

xenn [34]

Answer:

a. x = 14

b. Perimeter = 77

Step-by-step explanation:

a. Based on the Triangle Proportionality Theorem:

$\frac{2x - 2}{13} = \frac{21 - 7}{7}$

$\frac{2x - 2}{13} = \frac{14}{7}$

$\frac{2x - 2}{13} = 2$

Cross multiply

$2x - 2 = 2(13)$

$2x - 2 = 26$

Add 2 to both sides

$2x = 26 + 2$

$2x = 28$

Divide both sides by 2

x = 14

b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7

Plug in the value of x

= (2(14) - 2) + 13 + 17 + 14 + 7

= 26 + 13 + 17 + 14 + 7

= 77

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2 years ago

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Answer:

1 1/3

Step-by-step explanation:

x = 4/3 or 1 1/3

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2 years ago

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