Simplify. Remove all perfect squares from inside the square root. 63

Write the equation of line in slope-intercept form. Line parallel to y=0.5x+3 that passes through the point (−9,12)

Sliva [168]

A line parallel to the given one will have the same slope, 0.5. For the purpose here, it is convenient to start with a point-slope form of the equation, then simplify. For slope m and point (h, k), the equation of the line can be written as

... y = m(x -h) +k

We have m=0.5, (h, k) = (-9, 12), so the equation is ...

... y = 0.5(x +9) +12

... y = 0.5x +16.5

8 0

3 years ago

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WXY is a right triangle. A. True. B. False.

lora16 [44]

Answer:

B. False

Step-by-step explanation:

According to pythagorean theorem, for this to be a right triangle, the sum of square of the length of the two legs must equal square of the length of the hypotenuse (longest side).

So $(\sqrt{34} )^{2}$ should equal $(\sqrt{18} )^{2}+(\sqrt{18} )^{2}$

We also know that $(\sqrt{a} )^{2}=(\sqrt{a})(\sqrt{a})=a$

Hence, $(\sqrt{18} )^{2}+(\sqrt{18} )^{2}=18+18=36$ , and

$(\sqrt{34} )^{2}=34$

They ARE NOT EQUAL, so the triangle is NOT a right triangle.

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3 years ago

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4) During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play

ioda

$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales

and $40 was earned from the play.

Learn more about Linear Equations here brainly.com/question/24085666

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5 0

1 year ago

Joey invest $900 at 4% simple interest for 2 years but he wants to know how much money he will have after only 18 months. Determ

malfutka [58]

Well, bearing in mind that, a year has 12 months, so 18 months is really just 18/12 of a year, or 3/2 a year, then

$\bf \qquad \textit{Simple Interest Earned Amount}\\\\
A=P(1+rt)\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$900\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
t=years\to \frac{18}{12}\to &\frac{3}{2}
\end{cases}
\\\\\\
A=900\left( 1+0.04\cdot \frac{3}{2} \right)$

4 0

3 years ago

Nikhil drew a picture of an open greeting card on his paper. What is the total area of the drawing of the open greeting card?

Schach [20]

Answer:

35 in2

Step-by-step explanation:

6 0

3 years ago