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3 years ago

What is the equation of the line passing through ( -5, -3 ) and perpendicular

Mathematics

1 answer:

Artist 52 [7]3 years ago

4 0

Answer:

y = 7/5x + 4

Step-by-step explanation:

use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.

(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4

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AVprozaik [17]

Step-by-step explanation:

Angle formed at the circumference of the circle is half of the angle formed at the center of the same circle.

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$m\angle ADC = \frac{1}{2} \times m\angle ABC \\ \\ \therefore \: m\angle ADC = \frac{1}{2} \times 40 \degree \\ \\ \therefore \:m\angle ADC = 20 \degree \\ \\$

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3 years ago

I need help ASAP please

trapecia [35]

Answer:

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = $\frac{1}{\sqrt{2} }$ , then

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2 years ago

a student has answered 82% of the questions correctly in the examination. He made mistakes in 9 questions Calculate the toltal n

Sonja [21]

Answer:

There is a total 50 questions.

Step-by-step explanation:

Let x = total questions in the exam

Since 82% of the test was scored correctly, that means 18% of the student's exam was scored incorrectly.

With this information we can write:

$18\%x=9$ (Given that the student made 9 mistakes)

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3 years ago

Find the equivalent fraction to next expression 3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2 a 2b2 + 3.5a + 8.4 b b b2 +3.5a + 8.4b c 2b

Neporo4naja [7]

Answer:

b²+3.5a+8.4b

Step-by-step explanation:

Given the expression

3b^2 + 2(a+5.4b) -2.4b + 1.5a - 2b^2

Expand

3b^2 + 2a+10.8b -2.4b + 1.5a - 2b^2

Collect the like terms

= 3b²-2b²+2a+1.5a+10.8b-2.4b

= b²+3.5a+8.4b

Hence the equivalent expression is b²+3.5a+8.4b

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3 years ago

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2 years ago