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3 years ago

Hurry, I need help and please explain

Mathematics

2 answers:

Zepler [3.9K]3 years ago

5 0

Answer:

Question 18

=$3.33

Step-by-step explanation:

26/100 x 4.5

=1.17

(the discount price)

ii)

$4.5-$1.17

=$3.33

pogonyaev3 years ago

3 0

Answer:

QUESTION 18

The original price is $4.50

The discount is 26%

They are asking for the sale price which the price after the discount.

So,

The original price means 100% of the cost, like there is no discount at all.

But then we have to apply a 26% discount which means to subtract 26% (the discount) from 100% (the original price)

The new price of the item has to be 74% of the original price.

74% of $4.50 is the same as saying 26% discount.

But what is the number?

To calculate 74% of $4.50, turn 74% into a decimal which is 0.74, then multiply it by 4.50.

0.74 x 4.50 = 3.33

In conclusion, after a 26% discount on an item that is originally $4.50, the new price (sale price) of the item is now $3.33

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Point B has coordinates (1,2). The x-coordinate of point A is -8. The distance between point A and point B is 15 units. What

Xelga [282]

Answer:

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

Step-by-step explanation:

From Analytical Geometry, we have the Equation of the Distance of a Line Segment between two points:

$l_{AB} = \sqrt{(x_{B}-x_{A})^{2} + (y_{B}-y_{A})^{2}}$ (1)

Where:

$l_{AB}$ - Length of the line segment AB.

$x_{A}, x_{B}$ - x-coordinates of points A and B.

$y_{A}, y_{B}$ - y-coordinates of points A and B.

If we know that $l_{AB} = 15$ , $x_{A} = -8$ , $x_{B} = 1$ and $y_{B} = 2$ , then the possible coordinates of point A is:

$\sqrt{(1+8)^{2}+(2-y_{A})^{2}} = 15$

$81 + (2-y_{A})^{2} = 225$

$(2-y_{A})^{2} = 144$

$2-y_{A} = \pm 12$

There are two possible solutions:

1) $2-y_{A} = -12$

$y_{A} = 14$

2) $2 - y_{A} = 12$

$y_{A} = -10$

The possible coordinates of point A are $A_{1} (x,y) = (-8, 14)$ and $A_{2} (x,y) = (-8, -10)$ , respectively.

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