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a_sh-v [17]
3 years ago
9

Can someone please help?

Mathematics
1 answer:
kifflom [539]3 years ago
5 0
Standard form means, move the variables to the left-hand-side and leave the constant all by herself on the right-hand-side, usually sorting the variables, so"x" goes first.

now, there's a denominator, we can do away with it, by simply multiplying both sides by the denominator, so let's do so,

\bf y=-\cfrac{2}{3}x+7\implies \boxed{3}\cdot y=\boxed{3}\cdot \left( -\cfrac{2}{3}x+7 \right)\implies 3y=-2x+21
\\\\\\
\stackrel{standard~form}{2x+3y=21}
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What is the approximate area of the circle shown?
Amanda [17]

Answer:

907.46

Step-by-step explanation:

We know the area of a circle is:

\pi r^{2} \\\pi (34/2)^{2}\\17^{2} \pi \\907.46

5 0
3 years ago
Find the center and the radius of the circle with the equation: <br> x2+6x+y2+4y+12=0
Andrews [41]

Answer:

centre = (- 3, - 2) , radius = 1

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )

x² + 6x + y² + 4y = - 12

Use the method of completing the square on the x and y terms

add ( half the coefficient of the x/ y terms )² to both sides

x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4

(x + 3)² + (y + 2)² = 1 ← in standard form

with centre = (- (- 3), - (- 2)) and r² = 1, that is

centre = (- 3, - 2) and radius = 1

8 0
3 years ago
A scientist is studying a shockwave from an earthquake. What kind of wave is being studying?
lianna [129]

Seismic waves

Step-by-step explanation:

An earthquake releases energy as shock waves, the so-called seismic waves, which ripple across the earth's surface. The seismic waves created as they move from the epicentre an earthquake vary.

(from Google)

4 0
3 years ago
Read 2 more answers
Please help?!’ answerr
Ugo [173]

Answer:

The choice Draw 2

Step-by-step explanation:

3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\  24- 12x + 12x < 6x + 12x - 30 \\ 24 < 18x - 30 \\ 24 + 30 < 18x - 30 + 30 \\ 54 < 18x \\ 54 \div 18 < 18x \div 18 \\ 3 < x \\ x > 3

I hope I helped you^_^

6 0
3 years ago
B)When ABCD is drawn to scale, would
never [62]

Hi there there's several ways this could be proven one way us to consider the allied angle theory where two angles formed between parallel lines are supplementary which in this case can be proven by

2(45)+90=180⁰ ✔

or 3(45)+45=180⁰✔

this would not be the case if it wasn't parallel

Consequently, you can also use the alternate angle theory where you essentially extend one of the lines and you'll see two equal alternate angles

7 0
2 years ago
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