What is the intersection of planes GDH and GHF?

Find an equation of combined variation where a varies directly as b and inversely as c. One set of values is a = 4, b = 12, and

Ber [7]

Answer:

Combined equation is $a = \frac{kb}{c}$

Step-by-step explanation:

a varies directly as b and inversely as c.

This can be written as

a = $k \times b$

a = kb

where k is the proportionality constant

$a = \frac{kb}{c}$ -------------------------------------(1)

Now lets find the k value bu substituting the given a, b,c values

$4 = \frac{k (12)}{9}$

$9 \times 4 = 12k$

36 = 12 k

$k = \frac{36}{12}$

k = 3

Thus the eq(1) becomes

$a = \frac{3b}{c}$

Let us now find the value of a when b=7 and c = 3

$a = \frac{3(7)}{3}$

$a =\frac{21}{7}$

a = 7

4 0

4 years ago

Multiply (2x2 + 3x − 6)(x − 1)

Grace [21]

For this question, it is reasonable to use the foil method. In order to use FOIL we need to understand what it stands for:
F-First
O-Outside
I-Inside
L-Last
(see attachment for visual)
Let's get started.
We are given:
$(2x^2 + 3x - 6)(x - 1)$
Start by distributing the 2 first, then the 3, and then lastly the -6
(2x^2)(x)+(2x^2)(−1)+(3x)(x)+(3x)(−1)+(−6)(x)+(−6)(−1)
From here multiply the terms you have gathered from FOILING:
 $2x^3-2x^2+3x^2-3x-6x+6$

From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example:
3c and 4c are like terms because they have the same variables
24 and 50 are like terms because they are simply numbers without any variables.
It is best to put the like terms together in parentheses so that it is easier to combine them.
$(2x^3)+(-2x^2+3x^2)+(-3x-6x)+(6)
$
Combine:
$2x^3+x^2-9x+6
$

Final answer: $2x^3+x^2-9x+6$
If you have an further questions, please do not hesitate to comment below! Have a nice day! :)

8 0

4 years ago

Read 2 more answers

a bicycle wheel has a diameter of 40 cm how many revolutions would a wheel make if the bike travels 1 km pi=3.14 (answer please

andriy [413]

Circumference of a circle = Diameter × pi
Circumference of a circle = 40 cm × 3.14
Circumference of the wheel = 125.6 cm

1 Km = 1000m
Circumference of the wheel × 1000m = The number of revolutions
125.6 × 1000m = 125600

The wheel would make 125600 revolutions if the bike travels 1 km.