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3 years ago

Help Please!!

Mathematics

1 answer:

san4es73 [151]3 years ago

8 0

Answer:

y = -2x + 9

Step-by-step explanation:

y = -2x + 7

(4, 1)

1 = -2 ( 4 ) + b

1 = -8 + b

b = 9

y = -2x + 9

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There are 96 people consisting of 48 married couples in a room. Assuming that no husband or wife shakes thr others hand but ever

NikAS [45]

Answer:

4512 handshakes

Step-by-step explanation:

We are told in the question, that there are

96 people in the room = 48 couples

Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once

This means

48 couples will shake 94 people because they are excluded

This is calculated as

48 × 94 = 4512 handshakes

6 0

3 years ago

A cyclist travels 10 km from home to the park.

alisha [4.7K]

Answer:

20 km/h

Step-by-step explanation:

the total time is 0.5 hours as the cyclist travels for 30 minutes

the formula for speed is distance travelled divided by time taken which gives us 20 km/hr

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3 years ago

Factor –7x3 21x2 3x – 9 by grouping. what is the resulting expression? (3 – 7x)(x2 – 3) (7x – 3)(3 x2) (3 – 7x2)(x – 3) (7x2 – 3

juin [17]

The factors of the expression are $\rm(3 - 7x^2)(x - 3)$

<h3>How to find factors in the expression?</h3>

First group the first two terms and the last two terms together respectively.

The factors of the expression are given by;

$\rm= -7x^3 + 21x^2 + 3x - 9\\\\=-7x^2(x - 3) + 3(x - 3)\\\\=(3 - 7x^2)(x - 3)$

Hence, the factors of the expression are $\rm \rm(3 - 7x^2)(x - 3)$ .

To know more about factors click the link given below.

brainly.com/question/9645056

8 0

2 years ago

A square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is c

svetoff [14.1K]

1. Consider the pyramid ABCDE in the figure 1 attached:

Each side of the square base equals $\sqrt{20} = \sqrt{4*5} = \sqrt{4}* \sqrt{5}=2 \sqrt{5}$ (units)

Area of 1 lateral side of pyramid ABCDE is $\frac{1}{2}* 2 \sqrt{5}*x=\sqrt{5}x$

so the total lateral area is $4\sqrt{5}x$ (units squared)

and the total surface area is $20+4\sqrt{5}x$ (units squared)

2. Now consider the second figure KLMNP, Sydney's pyramid:

The lateral area is $4* \frac{1}{2}* 4 \sqrt{5} *2x=16 \sqrt{5}x$

so the total area of the second pyramid is $20+16 \sqrt{5}x$

So 2 things can be said about the areas:

i) the lateral area of Sydney's pyramid is $\frac{16 \sqrt{5}x}{4\sqrt{5}x} =4$ times larger than the lateral area of the original pyramid.

ii) The total area of Sydney's pyramid is $(20+16 \sqrt{5}x)-(20+4\sqrt{5}x)=12\sqrt{5}x$ units squared larger than the total area of the original pyramid.

5 0

3 years ago

Read 2 more answers

What is the answer to this question

Sedbober [7]

The answer is 1236 and I know why I did it

6 0

4 years ago