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3 years ago

Kiana wants to write equations in the form y = mx + b for the lines passing through

Mathematics

1 answer:

horrorfan [7]3 years ago

3 0

Answer:

'Substitute the slope and the coordinates of point P(-3,2) in y = mx + b and then solve for b in each equation'.

Step-by-step explanation:

Kiana wants to write equations in the form y = mx + b for the lines passing through point P that are parallel and perpendicular to line q.

This equation is in the slope-intercept form where m is the slope and b is the y-intercept.

First, she finds the slope of line q and the slope of line s to be – 2. Point P is located at (-3,2).

Therefore, the step that can be used to find the y-intercept is 'substitute the slope and the coordinates of point P(-3,2) in y = mx + b and then solve for b in each equation'. (Answer)

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Lin says that the inequalities h>150 and h<160 describe her height in centimeters. what do the inequalities tell us about

Arisa [49]

Answer:

Her height is in between 150 and 160

Step-by-step explanation:

Given

h > 150

h < 160

Required

What do these represent?

First, the inequalities need to be combined.

If h < 160, then this means that 160 > h.

So, h > 150 and 160 > h can be combined to form an inequality in the following form;

160 > h > 150

This.meeans 160 is greater than h and h is greater than 150.

If this is related to her height, it means 160 is greater than her height and her height is greater than 150;

In other words, her height is in between 150 and 160

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Vitek1552 [10]

Answer with Step-by-step explanation:

Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'

Thus the product of the 2 numbers is given by

$Product=n(n+1)\\\\$

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£440 is divided between David, Mark & Henry so that David gets twice as much as Mark, and Mark gets three times as much as H

Lesechka [4]

Mark received £ 132

Solution:

Given that £440 is divided between David, Mark & Henry

Let "d" be the share of david

Let "m" be the share of mark

Let "h" be the share of henry

Total amount is 440

Therefore,

share of david + share of mark + share of henry = 440

d + m + h = 440 ------- eqn 1

David gets twice as much as Mark

d = 2m ----- eqn 2

Mark gets three times as much as Henry

m = 3h

$h = \frac{m}{3}$ ------ eqn 3

Substitute eqn 2 and eqn 3 in eqn 1

$2m + m + \frac{m}{3} = 440\\\\\frac{6m + 3m + m}{3} = 440\\\\10m = 1320\\\\m = 132$

Thus Mark received £ 132

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