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Ann [662]
3 years ago
9

What is the slop of the line represented by the equation y=-2/3-5x​

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0
The slope is -5x.

Explanation:

Rearrange the equation so it’s in y=mx+b format.

y=-5x-2/3
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Find the limit (enter 'DNE' if the limit does not exist)
vaieri [72.5K]

Answer:

\lim\limits_{(x,y)\rightarrow(0,0)}\left(\sqrt{-2x^2-6y^2+1}+1\right)=2

Step-by-step explanation:

We need to first simplify the expression using rationalization(i.e. if a square root term exists in the denominator, then multiply and divide the whole expression by the denominator(but the change the sign of its middle term))

here, we need to find:

\lim\limits_{(x,y)\rightarrow(0,0)}\left(\dfrac{-2x^2-6y^2}{\sqrt{-2x^2-6y^2+1}-1}\right)

first we'll rationalize our expression:

\dfrac{-2x^2-6y^2}{\sqrt{-2x^2-6y^2+1}-1}\left(\dfrac{\sqrt{-2x^2-6y^2+1}+1}{\sqrt{-2x^2-6y^2+1}+1}\right)

\dfrac{-(2x^2+6y^2)(\sqrt{-2x^2-6y^2+1}+1)}{(\sqrt{-2x^2-6y^2+1}+1)^2-(1)^2}

\dfrac{-(2x^2+6y^2)(\sqrt{-2x^2-6y^2+1}+1)}{-2x^2-6y^2+1-1}

\dfrac{-(2x^2+6y^2)(\sqrt{-2x^2-6y^2+1}+1)}{-(2x^2+6y^2)}

\sqrt{-2x^2-6y^2+1}+1

this is our simplified expression, now we can apply our limits:

\lim\limits_{(x,y)\rightarrow(0,0)}\left(\sqrt{-2x^2-6y^2+1}+1\right)

\sqrt{-2(0)^2-6(0)^2+1}+1

1+1

2

the limit does exists and it is 2.

5 0
3 years ago
Please answer question
aliina [53]

Answer:

<h2>           V = 28 mm³    </h2>

Step-by-step explanation:

Base is right triangle, so:

B = ¹/₂•4•6 = 12 mm²

H = 7 mm

V = ¹/₃•B•H

V = ¹/₃•12•7 = 4•7 = 28 mm³

8 0
3 years ago
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What is the sum of the first 35 terms in the series 7+9+11+
Temka [501]

In below formula for arithmetic sequence you can fill in a=7 (start), d=2 (interval) and n=35 (nr terms) and you get

17.5(14 + 34*2) = 1435

Confirmed by a brute-force addition: 7+9+11+13+15+17+19+21+23+25+27+29+31+33+35+37+39+41+43+45+47+49+51+53+55+57+59+61+63+65+67+69+71+73+75=1435

3 0
3 years ago
Plz help?!!? it's due by 11​
Jobisdone [24]

Step-by-step explanation:

1. x^2 + 10x + 25

2. x^2 - 25

.........

7 0
3 years ago
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Given that angle a = 72° and angle b = 37°, work out x.
Sedbober [7]

Answer:

x is 71

Step-by-step explanation:

X + 72 + 37 = 180 ( Sum of angles in a triangle)

X = 180 - 72 - 37

X = 71

8 0
2 years ago
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