If triangles PQR and STU are similar then PQ corresponds to ST and PR corresponds to SU. Therefore, PQ/ST=PR/SU
Considering that, PQ= 7-x, ST= 13-x, PR= x²+5 and SU= x² +20
therefore, (7-x)/(13-x)= (x²+5)/(x²+20)
cross multiplying,
7x² +140-x³+20x =13x²+65-x³-5x
combining the like terms,
6x² +15x -75=0
solving for x,
x = 5/2 or -5
Answer:
Revenue = 1380
Step-by-step explanation:
Given:
Revenue means the sales or turnover of a company when it sells its products. In other words, it is nothing but the income of a company on selling the products.
Here, the company is selling backpacks. So, revenue is the amount earned by the company on selling 'x' backpacks. The linear model to represent the same is given below.
The revenue received from selling 'x' backpacks is given as:
Number of backpacks sold (x) = 40
Now, in order to find the revenue received on selling 40 backpacks, we need to plug in 40 for 'x' in the equation above and solve for the revenue, 'R'.
On plugging 40 for 'x', we get:
Therefore, the revenue received by the company on selling 40 backpacks is 1380.
Answer:
negative
Step-by-step explanation:
looking at the slope of the straight line, a positive slope will begin on the 1st quadrant and end at the 3rd quadrant
meaning if the slope is negative, it will begin on the 2nd quadrant and end on the 4th quadrant
Answer:
63
Step-by-step explanation:
Answer:
580 yards long.
Step-by-step explanation:
The distance of the walking tour is = 1 mile
Step 1
We have to convert 1 mile to yards
Therefore ,
1 mile = 1760 yards
Step 2
We are told that the group took a detour that was 300 yards shorter than half the distance of the tour.
The second step would be to find out how many yards is equal to half the distance of the tour.
Half the distance of the tour = 1/2 of a mile
And in step 1 we have converted whole distance of the tour to yards
= 1 mile = 1760 yards.
Hence, Half the distance of the tour = 1760 yards ÷ 2
= 880 yards.
Step 3
The group took a detour that was 300 yards shorter than half the distance of the tour.
This means mathematically,
Half the distance of the tour - 300 yards
= 880 yards - 300 yards
= 580 yards.
Therefore, the detour was 580 yards long.
