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3 years ago

Which shows the factored form of x2-12x-45?

Mathematics

1 answer:

Vlad1618 [11]3 years ago

8 0

Answer:

(x - 15)(x + 3)

Step-by-step explanation:

Consider the factors of the constant term (- 45) which sum to give the coefficient of the x- term (- 12)

The factors are - 15 and + 3, since

- 15 × 3 = - 45 and - 15 + 3 = - 12, hence

x² - 12x - 45 = (x - 15)(x + 3)

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Answer the Blanks:

vfiekz [6]

Answer:

1. 90°

2. 90°

3. 40°

4. 45°

5. 45°

Step-by-step explanation:

Given: ΔABC,

CD⊥AB,

m∠A=50°,

m∠ACB=85°

Solution:

1. ∠ADC is a right ange, because CD⊥AB, so

$m\angle ADC=90^{\circ}$

2. ∠CDB is a right ange, because CD⊥AB, so

$m\angle CDB=90^{\circ}$

3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so

$m\angle A+m\angle ADC+m\angle ACD=180^{\circ}\\ \\50^{\circ}+90^{\circ}+m\angle ACD=180^{\circ}\\ \\m\angle ACD=180^{\circ}-50^{\circ}-90^{\circ}=40^{\circ}$

4. By Angle Addition Postulate,

$m\angle ACD+m\angle BCD=m\angle ACB\\ \\40^{\circ}+m\angle BCD=85^{\circ}\\ \\m\angle BCD=85^{\circ}-40^{\circ}=45^{\circ}$

5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so

$m\angle A+m\angle ACB+m\angle B=180^{\circ}\\ \\50^{\circ}+85^{\circ}+m\angle B=180^{\circ}\\ \\m\angle B=180^{\circ}-50^{\circ}-85^{\circ}=45^{\circ}$

6 0

3 years ago

Prove the identity (sina-cosatanb)/(cosa+sinatanb) = tan (a+b)

OLga [1]

Sina - (cosa)(tanb)/cosa + (sina)(tanb)
sina ≡ (tana)(cosa)

(tana)(cosa) - (cosa)(tanb)/cosa + (tana)(cosa)(tanb)
= cosa(tana - tanb)/cosa(1 + tanatanb)
(cosas cancel out)
= (tana - tanb)/(1 + tanatanb) ≡ tan(a-b)

7 0

3 years ago

What is the slope of this line? y = -2x + 6

KengaRu [80]

Answer:

<h2>slope = -2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation:

y = -2x + 6

therefore

m = -2

b = 6

8 0

3 years ago

The table represents a function.

garri49 [273]

Answer: -8

Step-by-step explanation:

When x = 5, f(x) = -8.

4 0

2 years ago

Please help asap !!!

Illusion [34]

Answer: 2.)non function 3.)non function 4.) function 5.)non function 6.) non function 7.)function 8.)non function PART B 1.)non function 2.)function 3.) function

Step-by-step explanation: a function is when the domain (x) all each have one answer like (-2.6)(7,4)(8,6) there can be repeating ranges (y) just not domains.

A non function is when one domain (x) has multiple ranges(y) like (7,2)(-9,6)(7,9) the 7 repeats twice giving it two ranges, which causes it to be non functional. hope that helped :))

6 0

3 years ago