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4 years ago

Solve the equation 22=2p -2

Mathematics

2 answers:

Allisa [31]4 years ago

4 0

Answer:

p = 12

Step-by-step explanation:

add 2 to both sides of the equation

24 = 2p ( divide both sides by 2 )

p = 12

MakcuM [25]4 years ago

4 0

Answer: p=2

Step-by-step explanation:

22=2p-2

You add two to 22 which will give you 24

24=2p

You want to divide the 2 to get the letter by itself

12=2

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Which of the following functions is graphed below?

Dennis_Churaev [7]

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2 years ago

Type the correct answer in each box.

mote1985 [20]

Answer:

1. r=17

2. (-15,14) or (-15,-16)

Step-by-step explanation:

The radius of the circle is the distance from the center to the point on the circle, thus

$r=\sqrt{(8-(-7))^2+(7-(-1))^2}=\sqrt{15^2+8^2}=\sqrt{225+64}=\sqrt{289}=17.$

The equation of the circle is

$(x-(-7))^2+(y-(-1))^2=r^2\\ \\(x+7)^2+(y+1)^2=289.$

If point lies on this circle, then its coordinates satisfy the circle's equation:

$(-15+7)^2+(y+1)^2=289\\ \\64+(y+1)^2=289\\ \\(y+1)^2=225\\ \\y+1=15\text{ or }y+1=-15\\ \\y=14\text{ or }y=-16$

8 0

3 years ago

Two bowls and one cup weigh 800 grams. One bowl and two cups weigh 700 grams. Find the weight of the bowl and the cup

antoniya [11.8K]

Answer:

\large \boxed{\textbf{Bowl = 300 g; cup = 200 g}}

Step-by-step explanation:

Let b = the mass of a bowl

and c = the mass of a cup

We have two conditions:

$\begin{array}{lrcl}(1) &2b + c & = & 800\\(2) & b + 2c & = & 700\\\end{array}$

Calculations:

$\begin{array}{lrcll}(3) & 4b + 2c &= & 1600&\text{ Multiplied (1) by 2}\\& 3b & = & 900&\text{Subtracted (2) from (3)}\\(4) & b & = & \mathbf{300}&\text{Divided each side by 3}\\ & 600 + c & = & 800&\text{Substituted (4) into (2}\\ & c & = & \mathbf{200}\\\end{array}\\\text{The mass of a bowl is $\large \boxed{\textbf{300 g}}$ and that of a cup is $\large \boxed{\textbf{200 g}}$}$