All categories

2 years ago

Linear Equations Question 2 What is the y-intercept in the equation y = 4x - 3?

Mathematics

2 answers:

podryga [215]2 years ago

5 0

Put x=0,

So: y = 4 • 0 - 3
y = 0 - 3
y = 3

viktelen [127]2 years ago

4 0

The y intercept is -3

You might be interested in

What is the inequality to 8 less a number is less than or equal to 17

nlexa [21]

Answer:8>

. .

lol -lol

Step-by-step explanation:

7 0

2 years ago

cos theta = 4/5, 0˚< theta < 90˚ use the information given to find sin2theta, cos2theta, and tan 2theta

NikAS [45]

First calculate $\sin\theta$ .

$\sin^2\theta+\cos^2\theta=1\\\\\sin^2\theta=1-\cos^2\theta\\\\\sin^2\theta=1-\left(\dfrac{4}{5}\right)^2\\\\\\\sin^2\theta=1-\dfrac{16}{25}\\\\\\\sin^2\theta=\dfrac{9}{25}\quad|\sqrt{(\dots)}\\\\\\\sin\theta=\sqrt{\dfrac{9}{25}}\\\\\\\boxed{\sin\theta=\dfrac{3}{5}}$

We take positive value of sinθ because 0° < θ < 90°
Now we could calculate sin2θ, cos2θ and tan2θ:

$\sin2\theta=2\sin\theta\cos\theta=2\cdot\dfrac{3}{5}\cdot\dfrac{4}{5}=\dfrac{2\cdot3\cdot4}{5\cdot5}=\dfrac{24}{25}\\\\\\\cos2\theta=\cos^2\theta-\sin^2\theta=\left(\dfrac{4}{5}\right)^2-\left(\dfrac{3}{5}\right)^2=\dfrac{16}{25}-\dfrac{9}{25}=\dfrac{7}{25}\\\\\\
\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}=\dfrac{\frac{24}{25}}{\frac{7}{25}}=\dfrac{24\cdot25}{7\cdot25}=\dfrac{24}{7}=3\dfrac{3}{7}$

5 0

2 years ago

Read 2 more answers

Absolute value of -18.26

Effectus [21]

The absolute value is 18.26

4 0

3 years ago

Q: A is 8km due north of phone mast B. C is 9.5km due west of phone mast B. Calculate the distance AC

Evgen [1.6K]

Answer:

AC = 12.4 km (nearest tenth)

Step-by-step explanation:

AC can be calculated by using Pythagorean Theorem.

Thus:

AC² = AB² + BC²

Plug in the values

AC² = 8² + 9.5²

AC + √{154.25)

AC = 12.4 km (nearest tenth)

7 0

2 years ago

Write the new function if the parent function f(x)=-2x-5 is translated 2 units left.

Natali [406]

Answer:

f(x)= -2x-3, im so sorry if this is wrong

Step-by-step explanation:

to translate it left you have to add 2

3 0

2 years ago