All categories

2 years ago

Find the gradient of the line segment between the points (-1,2) and (-2,3).

Mathematics

1 answer:

Svetach [21]2 years ago

8 0

Answer:

The gradient of the line segment between the two points is -1

Step-by-step explanation:

The gradient of the line segment between two points is also known as the slope,

We can find this by using the formula; y₂ - y₁ / x₂ - x₁

The points given to us are;(-1,2) and (-2,3).

This implies x₁ = -1 , y₁=2 x₂ = -2 y₂= 3

We can now proceed to insert our values into the formula;

Gradient = y₂ - y₁ / x₂ - x₁

= 3 - 2 / -2-(-1)

= 1 / -2 + 1

=1/-1

Gradient = -1

Therefore the gradient of the line segment between the two points is -1

You might be interested in

Simplify 4/9 + 1/3<br> A 5/12<br> B 7/9<br> C 1 1/9<br> D 15/9

ELEN [110]

Answer:

B) 7/9

Step-by-step explanation:

<h3>Fraction addition:</h3>

If the denominators are not same, find the LCM of the denominators.

LCM of 3 and 9 is 9.

Now, find equivalent fractions with denominator as 9.

$\sf \dfrac{1}{3}=\dfrac{1*3}{3*3}\\\\$

$\sf =\dfrac{3}{9}$

Now add.

$\sf \dfrac{4}{9}+\dfrac{1}{3}=\dfrac{4}{9}+\dfrac{3}{9}\\\\$

$\sf =\dfrac{7}{9}$

4 0

1 year ago

Read 2 more answers

To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equati

murzikaleks [220]

Answer:

$x-4y+4=0$

$f(x)=\sqrt x$ and x=4

Step-by-step explanation:

We are given that a curve

$y=\sqrt x$

We have to find the equation of tangent at point (4,2) on the given curve.

Let y=f(x)

Differentiate w.r.t x

$f'(x)=\frac{dy}{dx}=\frac{1}{2\sqrt x}$

By using the formula $\frac{d(\sqrt x)}{dx}=\frac{1}{2\sqrt x}$

Substitute x=4

Slope of tangent

$m=f'(x)=\frac{1}{2\sqrt 4}=\frac{1}{2\times 2}=\frac{1}{4}$

In given question

$m=\lim_{x\rightarrow a}\frac{f(x)-f(a)}{x-a}$

$\frac{1}{4}=\lim_{x\rightarrow 4}\frac{f(x)-f(4)}{x-4}$

By comparing we get a=4

Point-slope form

$y-y_1=m(x-x_1)$

Using the formula

The equation of tangent at point (4,2)

$y-2=\frac{1}{4}(x-4)$

$4y-8=x-4$

$x-4y-4+8=0$

$x-4y+4=0$

8 0

3 years ago

Simplify 12 to the sixteenth power over 12 to the fourth power.

marishachu [46]

The answer is 8916100448256

3 0

3 years ago

C m

IceJOKER [234]

Answer:

the answer is d.

Step-by-step explanation:

D} the independent variable is cows, and the dependent variable is milk.

The independent variable is cows, and the dependent variable is milk.

The value of the independent variable, often denoted by x, does not depend on the value of another variable. The value of the dependent variable, often denoted by y, depends on the value of the independent variable.

4 0

3 years ago

Barrett and Penelope have some quarters for the vending machine.

lutik1710 [3]

Answer:

if we take the number of quarters Barrett have to be x we know Penelope has twice that ie 2x. so in total they have 2x+x = 60, 3x = 60; so x= 60/3 = 20.

Barrett has 20 quarters.

7 0

3 years ago