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2 years ago

Which of the following could be the equation of a line perpendicular to the line 2x−5y=7?

Mathematics

1 answer:

Over [174]2 years ago

4 0

Answer:

Step-by-step explanation:

First convert the equation to slope-intercept form:

2x - 5y = 7

-5y = -2x + 7

y = 2/5 x - 7/5

So the slope of the given line is 2/5.

So the slope of a perpendicular line will be -1/ 2/5 = -5/2.

Take B:

5x + 2y = 3

2y = -5x + 3

y = -5/2.

So its B.

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3 years ago

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2 years ago

At a concert 30% of the audience were tennnagers. If there was a total of 1600 audience members, how many of the audience were n

Misha Larkins [42]

Answer:

Not teenagers = 1120

Step-by-step explanation:

Total number of audience members = 1600

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It means 70% of the audience were not teenagers. It can be given by :

x = 70% of 1600

$x=\dfrac{70}{100}\times 1600\\\\x=1120$

Hence, 1120 audiences were not teenagers.

5 0

2 years ago

What is the area of triangle DEF?

FrozenT [24]

Answer:

$A=2\sqrt{14}\ units^2$

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.

$A=\sqrt{s(s-a)(s-b)(s-c)}$

where

a, b and c are the length sides of triangle

s is the semi-perimeter of triangle

we have

$a=5\ units,b=6\ units,c=3\ units$

<em>Find the semi-perimeter s </em>

s= $\frac{5+6+3}{2}=7\ units$

Find the area of triangle

$A=\sqrt{7(7-5)(7-6)(7-3)}$

$A=\sqrt{7(2)(1)(4)}$

$A=\sqrt{56}\ units^2$

simplify

$A=2\sqrt{14}\ units^2$

3 0

3 years ago

What is the area of a circle, if it's radius is 2cm?

slega [8]

25.13cm^2 or 8pi. The radius of a circle is 2 x pi x r^2. R is the radius. 2 x pi x 2^2cm -> 2 x pi x 4cm -> 8cm x pi -> 25.13cm^2. Leaving the answer in terms of pi would be 8pi.

8 0

3 years ago