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3 years ago

Calculate the gradient of (a; b) and (-2a; -2b) where a≠0 and b≠0.

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

4 0

Answer:

$\frac{b}{a}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (a, b) and (x₂, y₂ ) = (- 2a, - 2b)

m = $\frac{-2b-b}{-2a-a}$ = $\frac{-3b}{-3a}$ = $\frac{b}{a}$

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Given f(x)=2x-8, find f(3)

IgorLugansk [536]

F(3)=2*3-8=-2.
Hope that helps.

6 0

2 years ago

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

olga_2 [115]

Answer:

$7\pi cm^2$

Step-by-step explanation:

The area of a circle is given by $A=\pi r^2$

For circle B, the radius is 3 cm, it has an area of $\pi *3^2=9\pi cm^2$

Circle D also has a radius of 1 cm. Its area is $\pi *1^2=\pi cm^2$

Circle P also has a radius of 1 cm and area $\pi*1^2=\pi cm^2$

The area of the shaded region is then $9\pi -\pi-\pi=7\pi cm^2$

5 0

3 years ago

Choose the correct simplification of the expression (3x2y3z4)(2x5y2z3).

puteri [66]

Here is the answer to the given question above.
In order to correctly simplify the given expression above, we will be multiplying both expressions.
(3x^2 y^3 z^4)(2x^5 y^2 z^3)
Now, multiply the who numbers normally. But when an exponent is multiplied by another exponent, the exponents are added together.
Therefore we get, 6x^7y^5z^7.
Therefore, the correct answer would be option A.
Hope this answer helps.

5 0

3 years ago

Read 2 more answers

Krista needs her kitchen sink repaired. She pays a plumber a flat fee for an initial consultation, and then she pays him an hour

natka813 [3]

Answer:

The "40" represents the flat fee (for an initial consultation).

Step-by-step explanation:

The equation is in slope-intercept form, $y=mx+b$ , where the mx is the rate of change and the b is like the flat fee, or the base amount.

I hope that helps! :)

8 0

3 years ago

If f(x) = 5x 6 and g(x) = x2 - 4x-8, find (f+ g)(x).

vredina [299]

The value of (f + g)(x) is x² + x - 14

Given: f(x) = 5x - 6

g(x) = x² - 4x - 8.

To find the value of (f + g)(x)

What are functions?

Functions are expressions or a rule that defines the relation between different variables which are described for a given problem.

Let's solve the question:

f(x) = 5x - 6

g(x) = x² - 4x - 8

We know from the algebra of functions that:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = (5x - 6) + (x² - 4x - 8)

Now grouping like terms:

= x² + (5x - 4x) + (-6 - 8)

= x² + x - 14

Therefore, (f + g)(x) is x² + x - 14

Hence the value of (f + g)(x) is x² + x - 14

Know more about "functions" here: brainly.com/question/12431044

#SPJ9

7 0

1 year ago