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3 years ago

Find the equation of the line with a slope of − 1/2 through (4, 5)

Mathematics

1 answer:

STALIN [3.7K]3 years ago

5 0

Answer: Hello:

Slope - intercept form is y = mx + b.

Since -1/2 is your slope and 5 is your y - intercept, all you need to do is substitute those values into the equation:

y = -1/2 + 5

Hope this helps!

You might be interested in

Find the value of x a) 1 b) 31 c) 24 d) 14

Furkat [3]

So the right answer is 14.

Look at the attached picture

Hope it will help you

Good luck on your assignment

6 0

2 years ago

Please solve. -7 = z over 2 + 1

mafiozo [28]

-7=z/2+1

What you first need to do is to multiply both sides of the equation by 2

-14=z+2

Now you move the variable to the left side and change within it’s own sign

-z-14=2

Into

-z=2+14

Now you then add the numbers

-z=16

The last part you do is change the sign on both sides in this equation

z=-16

Therefore, z=-16 is your answer in number 16.

6 0

2 years ago

Read 2 more answers

Save Work out the size of angle AED. b) Work out x

Mamont248 [21]

Answer:

x = 10°

Step-by-step explanation:

a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"

Therefore, in cyclic quadrilateral ABDE,

m∠ABD + m∠AED = 180°

110° + m∠AED = 180°

m∠AED = 180° - 110°

= 70°

b). AD = ED [Given]

m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]

m∠EAD = m∠AED = 70°

By triangle sum theorem in ΔABD,

m∠BAD + m∠ABD + m∠ADB = 180°

m∠BAD + 110° + 40° = 180°

m∠BAD = 180 - 150

= 30°

m∠AEB = m∠AED + m∠DAB [By angles addition postulate]

m∠AEB = 70° + 30°

= 100°

By triangle sum theorem in the large triangle,

x° + m∠AEB + m∠EAB = 180°

x° + 100° + 70° = 180°

x = 180 - 170

x = 10°

8 0

2 years ago

Solve x^4 - 3x^2 +2 = 0 using substitution.

Leona [35]

Answer:

x = ± 1 , x = ± $\sqrt{2}$

Step-by-step explanation:

Let u = x² , then

$x^{4}$ - 3x² + 2 = 0 , can be expressed as

u² - 3u + 2 = 0 ← in standard form

(u - 1)(u - 2) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

u - 2 = 0 ⇒ u = 2

Change the variable u back to x

x² = 1 ( take square root of both sides )

x = ± 1

x² = 2 ( take square root of both sides )

x = ± $\sqrt{2}$

4 0

2 years ago

I need help plz I do not really understand this if you can help me I’d highly appreciate

svlad2 [7]

Answer:

Angle YXW=Angle VXZ that is 36.6°

Step-by-step explanation:

Vertically opposite angles are equal.

5 0

2 years ago