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Goshia [24]
1 year ago
11

Q4. The diagram shows a triangle inside a rectangle.

Mathematics
1 answer:
Yanka [14]1 year ago
4 0

The prove to show that the area of the shaded portion is 18x  - 30 is as follows: 3x² + 13x - 30 - 3x² + 5x = 18x  - 30

<h3>How to find the area of the shaded region?</h3>

The area of the shaded region can be represented as follows:

area of the shaded region = area of rectangle - area of triangle

Therefore,

area of the rectangle = (x + 6)(3x - 5)

area of the rectangle = 3x² - 5x + 18x - 30

area of the rectangle = 3x² + 13x - 30

area of triangle = 1 / 2 × 2x × 3x - 5

area of triangle = 3x² - 5x

Therefore,

area of the shaded portion =  3x² + 13x - 30 - 3x² + 5x

area of the shaded portion = 18x  - 30

learn more on area here: brainly.com/question/21208569

#SPJ1

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two buses leave a station at the same time and travel in opposite directions. One bus travels 15 km/h faster than the other. If
Marina CMI [18]

The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr

<h3>What is speed?</h3>

Speed is a scalar quantity that refers to "how fast an object is moving".

Given that, two buses leave a station at the same time and travel in opposite directions, one bus travels 15 km/h faster than the other, the two buses are 1004 kilometres apart after 4 hours,

Speed = distance/ time

Let the speed of the slower bus be v and the faster bus be (v+15)

According to the question,

vt + (v+15)t = 1004

vt + vt + 15t = 1004

t = 4

4v + 4v + 60 = 1004

8v = 944

v = 118

Hence, The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr

For more references on speed, click;

brainly.com/question/7359669

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8 0
9 months ago
URGENT!! Really need help on this test
Anuta_ua [19.1K]

Answer:

x=17

Step-by-step explanation:

53+(2x+3)=90

7 0
2 years ago
If a firm finds that increases in output lead to increases in long-run average total cost, then it must be experiencing ________
Luba_88 [7]

Answer:

The correct option is;

C diseconomies of scale; coordination problems

Step-by-step explanation:

Dis-economies of scale is in effect where the average cost of production of  firm increases as it increases its inputs towards producing more. That is as the production rate increases, the unit cost of production also increases

Increase in the mean cost of production as the production rate increases is an indication of diminishing returns to increasing scale of production

Dis-economies of scale can be caused by Coordination problems

Difficulties in Co-ordination and monitoring . Where there is growth, the monitoring and coordination requirements becomes more complex, there is also the tendency for increased inefficiency and increase in average cost as the firm expands

6 0
2 years ago
Read 2 more answers
What is the result when x^3-2x^2+5x-13x 3 −2x 2 +5x−13 is divided by x-2x−2?
Aleksandr [31]

yo k se wey: rg`weaofjwafgEWF3WRF1QTFG3Q2TGF2

3 0
3 years ago
For lunch, Jess bought a glass of milk for $1.60, a chicken sandwich for $4.30, as well as
ArbitrLikvidat [17]

Answer:$8.00

Step-by-step explanation:

Add them then u minus the $17.00

6 0
2 years ago
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