Put this equation in standard form Y+5=-(x+3)?

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

4 0

Answer: y = x - 2

Step-by-step explanation:

Subtract 5 from both sides.

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Calculate m∠ADC. Round to the nearest thousandth.

stira [4]

Answer: $54.508^{\circ}$

Step-by-step explanation:

Let the angle ADC = x degree

Since, By the given diagram, In triangle BDC,

$\frac{BC}{DC} = tan27^{\circ}$

⇒ $\frac{BC}{19.6} = tan27^{\circ}$

⇒ $BC = 19.6\times tan 27^{\circ}$

⇒ $BC = 9.98669881009$

Now, In triangle ADC,

$tan x =\frac{AC}{DC}$

⇒ $tan x =\frac{AB+BC}{DC}$

⇒ $tan x =\frac{17.5+9.98669881009}{19.6}$

⇒ $tan x =\frac{27.4866988101}{19.6}$

⇒ $tan x =1.40238259235$

⇒ $x = 54.508389368\text{ degree} \approx 54.508^{\circ}$

4 0

3 years ago

NEED BOTH ANSWERED!!! Is the relation a function? ○ True ○ False

LiRa [457]

Answer:

The first picture without the diagram is true, and the other one is false.

Step-by-step explanation:

A relation can be a function if the domain has exactly one range. IT CANT HAVE TWO Y-VALUES.

8 0

3 years ago

Please help! Consider the given circle with the shaded sector xy and central angle 225. The circumference is 30 units

OleMash [197]

$\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=30\pi \end{cases}\implies 30\pi =2\pi r\implies \cfrac{30\pi }{2\pi }=r\implies \boxed{15=r} \\\\[-0.35em] ~\dotfill$

$\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=15\\ \theta =225 \end{cases}\implies \widehat{XY}=\cfrac{(225)\pi (15)}{180}\implies \boxed{\widehat{XY}\approx 58.90} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (15)^2\implies A=225\pi \implies \boxed{A\approx 706.86}$