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Umnica [9.8K]
3 years ago
15

If the line passing through the points (a, 1) and (−2, 6) is parallel to the line passing through the points (−12, 9) and (a + 2

, 1), what is the value of a?
Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

\frac{6 - 1}{ - 2 - a}  =  \frac{9 - 1}{ - 12 - a - 2}  \\  \frac{5}{ - 2 - a}  =  \frac{8}{ - 14 - a}  \\ 16 + 8a = 70 + 5a \\ 3a = 54 >  > a = 18
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Mr Teo wants to buy an oven. Which shop sells the oven at a lower price? Show your working clearly.​
Oliga [24]

Answer:

Shop B

Step-by-step explanation:

Hi there!

To solve this question, we can find the new prices of each oven and identify which one is cheaper.

<u>Shop A</u>

Usual price: $190

Discount: 15%

First, we must subtract the discount percent from 100:

100 - 15 = 85

Therefore, the new price of the product will be 85% of the original price. Find 85% of $190:

190 × 0.85

Therefore, the new price is $161.50.

<u>Shop B</u>

Usual price: $200

Discount: 20%

Again, subtract 20 from 100:

100 - 20 = 80

This means that the new price of the oven is 80% of the original price:

200 × 0.8 = 160

Therefore, the new price is $160.

Because a $160 oven is cheaper than a $161.50 oven, Shop B sells the oven at a lower price.

I hope this helps!

6 0
2 years ago
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What is the length of segment BC? A coordinate plane is shown. Point B is located at negative 3, negative 2, and point C is loca
Mrac [35]
The length of segment BC can be determined using the distance formula, wherein, d = sqrt[(X_2 - X_1)^2 + (Y_2 - Y_1)^2]. The variable d represent the distance between the two points while X_1, Y_1 and X_2, Y_2 represent points 1 and 2, respectively. Plugging in the coordinates of the points B(-3,-2) and C(0,2) into the equation, we get the length of segment BC equal to 5.  
4 0
3 years ago
Read 2 more answers
What is the equivalent of 3/6
Maslowich
\frac{3}{6}^{/3}= \frac{1}{2}
3 0
3 years ago
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Select the quadrant in which the terminal side of the angle falls.
Sedbober [7]

Answer:

The answer is below

Step-by-step explanation:

Select the quadrant in which the terminal side of the angle falls.

210° terminates in quadrant

-150° terminates in quadrant

390° terminates in quadrant

Solution:

The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.

Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.

a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

c) 390° = 390° - 360° = 30°.

Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.

 

8 0
3 years ago
You are buying 12-packs of Mountain Dew for $\text{4.50}4.50 each and have a gift card worth $77. The function m\left(x\right)=4
poizon [28]

Answer:

$191

Step-by-step explanation:

The function is given by :

m(x) = 4.50x-7 ...(1)

Where

m(x) is the total cost if you buy x 12 packs of Mountain Dew.

We need to find the cost you pay to buy 44 12-packs of Mountain Dew

Put x = 44 in equation (1), we get :

m(x) = 4.50(44)-7

m(x) = 198-7

m(x) = $191

Hene, the cost for 44 12- packs of Mountain Dew is $191.

7 0
3 years ago
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