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3 years ago

X-2y=7; ( ,2) (,1) complete each ordered pair so that is a solution of the given linear equation.

2 answers:

8 0

To complete each ordered pair, you would have to substitute the 1 and 2 in for y. Let's start with the 2 first. X-2(2)=7, x-4=7. Add 4 on each side. X=11. First ordered pair is (11,2). Now do the 1. X-2(1)=7, x-2=7. Add 2 on both sides. Second ordered pair is (9,1). Answers are (11,2) and (9,1)

VikaD [51]3 years ago

8 0

Answers are (11,2) and (9,1)

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Find \tan\left(\frac{17\pi}{12}\right)tan( 12 17π )tangent, left parenthesis, start fraction, 17, pi, divided by, 12, end frac

uranmaximum [27]

One way to do this is to notice

$\dfrac{17\pi}{12}=\dfrac\pi6+\dfrac{5\pi}4$

Then

$\tan\dfrac{17\pi}{12}=\tan\left(\dfrac\pi6+\dfrac{5\pi}4\right)=\dfrac{\tan\frac\pi6+\tan\frac{5\pi}4}{1-\tan\frac\pi6\tan\frac{5\pi}4}$

We have

$\tan\dfrac\pi6=\dfrac{\sin\frac\pi6}{\cos\frac\pi6}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}$

and since $\tan x$ has a period of $\pi$ ,

$\tan\dfrac{5\pi}4=\tan\left(\pi+\dfrac\pi4\right)=\tan\dfrac\pi4=1$

and so

$\tan\dfrac{17\pi}{12}=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3$

7 0

3 years ago

What is 6.3-2(1.5c+4.1)

ASHA 777 [7]

$Expand\;-2\left(1.5c+4.1\right)$
$\mathrm{Distribute\:parentheses\:using}: \:a\left(b+c\right)=ab+ac$
$\;a=-2,\:b=1.5c,\:c=4.1$

$Simplify\;-2\cdot \:1.5c-2\cdot \:4.1 \ \textgreater \ \mathrm{Multiply\:the\:numbers:}\:2\cdot \:1.5=3$
$-3c-2\cdot \:4.1$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:4.1=8.2 \ \textgreater \ -3c-8.2 \ \textgreater \ 6.3-3c-8.2$

$\mathrm{Subtract\:the\:numbers:}\:6.3-8.2=-1.9 \ \textgreater \ -3c-1.9$

Hope this helps!

7 0

3 years ago

Read 2 more answers

HELP upvote brainliest Write the statement that would go in the empty box to complete the flow proof below.

Degger [83]

Here, ∠WVX = ∠WZY
& ∠W = ∠W [ Reflexive Property ]

Triangles have the constant sum, so they would be: equal.
WVX + WXV + W = W + WZY + WYZ
WXY = WYZ [ ∠WVX = ∠WZY ]

Now, As all the angles are equal, we conclude:
ΔXVW ≈ ΔYZW [ By ASA Postulate ]

Hope this helps!

8 0

3 years ago

Can you simplify (9c^8)^1/2

Tamiku [17]

Answer: 9c8

———

Step-by-step explanation:

32c8

Simplify 32c8———

7 0

3 years ago

2.When I walked into King Soopers yesterday, I noticed that the Colorado Rockies t-shirts had a sign reading “25% off sale!”. If

daser333 [38]

Given:

The discount is 25%.

The selling price of the shirt after the sale is $20.99.

To find:

The selling price of the shirt before the sl;e

Explanation:

Let the old price be x.

The equation can be framed as follows,

$\begin{gathered} (\frac{100-25}{100})\times x=20.99 \\ \frac{75}{100}\times x=20.99 \\ x=20.99\times\frac{100}{75} \\ x=27.986 \\ x\approx27.99 \end{gathered}$

Final answer:

The selling price of the shirt before the sale is $27.99.

4 0

11 months ago