the sum of the squares of two consecutive negative even integers is 52. Find the integers. show all work!!!

1 answer:

Alex3 years ago

3 0

The two numbers are -4 and -6.

- two negatives make a positive. in this case -4×-4 equals 16 and -6×-6 equals 36. these are the squares

- 16+36 equals 52

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Given g(x) = -2x + 1, solve for x when g(x) = 5.

madam [21]

Answer:

g(5)=-2(5)+1

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3 years ago

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Thee questionn is beloww

Phantasy [73]

Given:

$m\angle ABC=60$

To find:

The $m\angle ADC$ .

Solution:

In circle B, $\angle ABC$ is central angle and $\angle ADC$ is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

$m\angle ABC=2(m\angle ADC)$ [Central angle theorem]

$60=2(m\angle ADC)$

Divide both sides by 2.

$\dfrac{60}{2}=m\angle ADC$

$30=m\angle ADC$

Therefore, $m\angle ADC=30$ .

6 0

3 years ago

Help asap!!!

dangina [55]

$\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6.5\\ s=5.7 \end{cases}\implies 5.7=\cfrac{\theta \pi (6.5)}{180}\implies 1026=6.5\pi \theta \\\\\\ \cfrac{1026}{6.5\pi }=\theta \implies \stackrel{\textit{rounded up, using }\pi =3.14}{50.27=\theta }$