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Kisachek [45]
2 years ago
5

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:

B.

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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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

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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.  

so

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?
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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
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