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2 years ago

The line with gradient-4 which cuts the y axis at -2

Mathematics

1 answer:

Helen [10]2 years ago

8 0

Answer:

• Considering the general equation of a line

$y = mx + b$

m is the gradient and b is the y-intercept.

Substitute:

${ \underline{ \underline{ \: \: y = - 4x - 2 \: \: }}}$

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3 years ago

Let u = (1, 2 -2), v= (2, 1, 3) and w = j + 4k. a) Find cos theta, where theta is the angle in degrees between u and w.

vodka [1.7K]

Answer: The value of cos theta is -0.352.

Step-by-step explanation:

Since we have given that

$\vec{u}=1\hat{i}+2\hat{j}-2\hat{k}\and\\\\\vec{w}=\hat{j}+4\hat{k}$

We need to find the cos theta between u and w.

As we know the formula for angle between two vectors.

$\cos\ \theta=\dfrac{\vec{u}.\vec{w}}{\mid u\mid \mid w\mid}$

So, it becomes,

$\cos \theta=\dfrac{2-8}{\sqrt{1^2+2^2+(-2)^2}\sqrt{1^2+4^2}}\\\\\cos \theta=\dfrac{-6}{\sqrt{17}\sqrt{17}}=\dfrac{-6}{17}=-0.352\\\\\theta=\cos^{-1}(\dfrac{-6}{17})=110.66^\circ$

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8 0

3 years ago

Pleaseeee helpppp!!!!

kondor19780726 [428]

The right answer is Option A: $x=\frac{rs-t}{2}$

Step-by-step explanation:

Given expression is;

$s=\frac{2x+t}{r}$

We will solve this expression for x, therefore,

Multiplying both sides by r

$r*s=\frac{2x+t}{r}*r\\rs=2x+t$

Subtracting t from both sides

$rs-t=2x+t-t\\rs-t=2x\\2x=rs-t$

Dividing both sides by 2

$\frac{2x}{2}=\frac{rs-t}{2}\\x=\frac{rs-t}{2}$

The right answer is Option A: $x=\frac{rs-t}{2}$

Keywords: subtraction, division

Learn more about subtraction at:

#LearnwithBrainly

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3 years ago

The line with gradient-4 which cuts the y axis at -2​

The line with gradient-4 which cuts the y axis at -2