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3 years ago

Based on the graph, what are the solutions of the equation

Mathematics

1 answer:

olga_2 [115]3 years ago

4 0

It's C. move all terms to the left side and set equal to zero. then set each factor equal to zero.

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17. Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively

Gnesinka [82]

Given that, Two tanks are similar in shape. The capacity of the tanks are 1,000,000 litres and 512, 000 liters respectively.Find the height of the smallest tank if the larger is 300cm tall?

Assume that, the tanks are rectangular in shapes and differ only on their heights. The volume of the larger tank is

V1 = l × w × h1 while the volume of the smaller tank is V2 = l ×w × h2. The ratios of the capacities is

$\sf \frac{V1}{V2} = l \times w \times h1 \times w \times h2 = \frac{h1}{h2}$

Solving for the height of the smaller tank h2

$\sf \frac{V1}{V2} = \frac{h1}{h2}$

$\sf\frac{1000000} {51200} = \frac{ 300 cm }{ h2}$

1000000 × h2 = 51200 × 300 cm

h2 = (51200 × 300 cm) /1000000

h2 = 15.36 cm

$\sf\implies \: \boxed{ \bf{ \: Height \: of \: the \: smaller \: tank \: is \: 15.36 cm.\: }}$

${ \underline {\rule{5000pt}{6pt}}}$

5 0

2 years ago

Read 2 more answers

Find p+q, given that (q+4)(p+3)-(q+2)(p+1)=44.

Fofino [41]

Q = -p + 17
or
p = -q + 17
Not sure if this is correct

5 0

3 years ago

Clint is in study hall reading The hunger games. After 20 minutes, he is on page 151. After 45 minutes, he is on page 181. How m

alexdok [17]

Answer:

The number of pages had Clint read prior to study hall were 127 pages.

Step-by-step explanation:

Given:

Clint after 20 minutes is on page 151.

And, after 45 minutes he is on page 181.

Now, to find the pages Clint read prior to study hall.

The time difference = 45 minutes - 20 minutes.

= 25 minutes.

Difference between the pages = 181 - 151

= 30 pages.

If Clint is reading each page at same speed.

Then, in 25 minutes he can read = 30 pages.

So, in 1 minute he can read = 30 ÷ 25 = 1.2 pages.

Thus, in 20 minutes he can read $=1.2\times 20$

$=24 pages.$

Now, number of pages Clint had read prior to study hall = 151 - 24

= 127 pages.

Therefore, the number of pages had Clint read prior to study hall were 127 pages.

7 0

3 years ago

What are the x-intercept and the y-intercept of the graph of y=−1/2x−5

Snezhnost [94]

X intercept (-10,0)

y intercept (0,-5)

3 0

3 years ago

1)y=2x^2-12x+14 in vertex form with steps asap please

agasfer [191]

Answer:

y = 2 ( x + 3 ) 2 − 4

Step-by-step explanation:

Use the form a x 2 + b x + c , to find the values of a , b , and c . a = 2 , b = 12 , c = 14 Consider the vertex form of a parabola. a ( x + d ) 2 + e Substitute the values of a and b into the formula d = b 2 a . d = 12 2 ( 2 ) Simplify the right side. d = 3 Find the value of e using the formula e = c − b 2 4 a . e = − 4 Substitute the values of a , d , and e into the vertex form a ( x + d ) 2 + e . 2 ( x + 3 ) 2 − 4 Set y equal to the new right side. y = 2 ( x + 3 ) 2 − 4

4 0

3 years ago