All categories

3 years ago

Writing an Equation in Slope-Intercept Form

Mathematics

1 answer:

STALIN [3.7K]3 years ago

3 0

Answer:y=Mx+b

Step-by-step explanation:

You might be interested in

the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base

wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

According to question

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 = 2 ×(l × b + b × h + h × l)

Or, (l × b + b × h + h × l) = $\dfrac{95}{2}$ ....1

Similarly

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = $\dfrac{63}{2}$ ......2

Putting value of eq 2 into eq 1

so, (l × b + $\dfrac{63}{2}$ ) = $\dfrac{95}{2}$

Or, l × b = $\dfrac{95}{2}$ - $\dfrac{63}{2}$

Or, l × b = $\dfrac{95 - 63}{2}$

i.e l × b = $\dfrac{32}{2}$

so, l × b = 16

Now, Again

∵The Area of the base = ( length × breadth ) cm²

So, z = l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

5 0

3 years ago

Suppose that the functions q and r are defined as follows.

satela [25.4K]

Answer:

(r o g)(2) = 4

(q o r)(2) = 14

Step-by-step explanation:

Given

$g(x) = x^2 + 5$

$r(x) = \sqrt{x + 7}$

Solving (a): (r o q)(2)

In function:

(r o g)(x) = r(g(x))

So, first we calculate g(2)

$g(x) = x^2 + 5$

$g(2) = 2^2 + 5$

$g(2) = 4 + 5$

$g(2) = 9$

Next, we calculate r(g(2))

Substitute 9 for g(2)in r(g(2))

r(q(2)) = r(9)

This gives:

$r(x) = \sqrt{x + 7}$

$r(9) = \sqrt{9 +7{$

$r(9) = \sqrt{16}$ {

$r(9) = 4$

Hence:

(r o g)(2) = 4

Solving (b): (q o r)(2)

So, first we calculate r(2)

$r(x) = \sqrt{x + 7}$

$r(2) = \sqrt{2 + 7}$

$r(2) = \sqrt{9}$

$r(2) = 3$

Next, we calculate g(r(2))

Substitute 3 for r(2)in g(r(2))

g(r(2)) = g(3)

$g(x) = x^2 + 5$

$g(3) = 3^2 + 5$

$g(3) = 9 + 5$

$g(3) = 14$

Hence:

(q o r)(2) = 14

8 0

2 years ago

(19 POINTS QUESTION, HELP PLEASE) A bag contains 5 blue balls, 4 red balls, and 3 orange balls. If a ball is picked from the bag

juin [17]

Answer:

B. 0.4

Step-by-step explanation:

5 + 4 + 3 = 12 balls

5 blue / 12 balls = 0.4

7 0

3 years ago

Read 2 more answers

What geometric term describes a corner f a living room

murzikaleks [220]

The answer is a vertex. Corners of any shape are vertexes

5 0

2 years ago

Factor completely: 9p^2 - 9

Ratling [72]

Answer:

9p^2 - 9

9(p²-1²)

9(p+1)(p-1)

3 0

2 years ago

Read 2 more answers