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3 years ago

Need help with the top plss

Mathematics

1 answer:

Ksivusya [100]3 years ago

7 0

Draw a square around 3b, 6b, and 46b. Remember to underline 8a squared. Draw an X through 7, 17, 100, -38, and -1.

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- Factorise 121y² - m²

Otrada [13]

Answer:

$\boxed{ \bold{ { \boxed{ \sf{(11y + m)(11y - m)}}}}}$

Step-by-step explanation:

$\sf{121 {y}^{2} - {m}^{2} }$

$\longrightarrow{ \sf{ {(11y)}^{2} - {(m)}^{2} }}$

Use the formula of a² - b² = ( a + b ) ( a - b )

$\longrightarrow{ \sf{(11y + m)(11y - m)}}$

Hope I helped!

Best regards

6 0

3 years ago

A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour

Reil [10]

Answer:

The correct answers are:

A) 60 miles; and B) 3.375 hours.

Explanation:

We will use the equation d = rt for this.

For the first leg of the trip, the bird travels 20 miles per hour for x hours. This gives us the equation

d = 20x

For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour. He also travels 6 miles less than the return distance, for x hours:

d-6 = 16x

To isolate d, we will add 6 to each side:

d-6+6 = 16x+6

d = 16x+6

We will set the two equations equal to one another, since they both equal d:

20x = 16x+6

Subtract 16x from each side:

20x-16x = 16x+6-16x

4x = 6

Divide both sides by 4:

4x/4 = 6/4

x = 1.5

He travels for 1.5 hours both times.

The first time, 1.5 hours at 20 miles per hour is:

d = 1.5(20) = 30 miles

The original trip is 30 miles. This makes the entire trip 30(2) = 60 miles.

On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:

24 = 16x

Divide both sides by 16:

24/16 = 16x/16

1.5 = x

If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:

24/1.5 = 30/x

Cross multiplying,

24*x = 1.5(30)

24x = 45

24x/24 = 45/24

x = 1.875

This gives him a total time of 1.5+1.875 = 3.375 hours

Step-by-step explanation:

7 0

3 years ago

Sharon writes this sentence: HELP ASAP :(

alexandr1967 [171]

Answer: please provide detail

Step-by-step explanation:

7 0

4 years ago

Read 2 more answers

Urgent Help needed w/ right triangle trig

Svetllana [295]

It is clearly understood from the image that LPNM is a square.

Let the side of the square be 'a' units.

Then by Pythagorean theorem.

${c}^{2} = {a}^{2} + {a}^{2} \\ \\ {c}^{2} = 2 {a}^{2}$
Now taking square root on both side we get ;

$c = \sqrt{2} a$
Now pluging the value of C in the above equation we get ;

$12 = \sqrt{2} a \\ \\ a = \frac{12}{ \sqrt{2} } = 6 \sqrt{2}$
Therefore LP = 6√2 units.

3 0

3 years ago

The Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 20 pounds. Above 20 poun

rusak2 [61]

Answer:

$k=6$

Step-by-step explanation:

We have been given that the Candy Factory sells candy by the pound, charging $1.60 per pound for quantities up to and including 20 pounds. Above 20 pounds, the Candy Factory charges $1.30 per pound for the entire quantity, plus a quantity surcharge k.

$\left \{ {{p(x)=1.6x, \text{ If }x\leq 20} \atop {p(x)=1.30x+x,\text{ if }x>20}} \right.$

For the price function be to continuous at $x=20$ , the value of both functions at $x=20$ must be equal. Because a function is continuous if the right hand limit is equal to left hand limit.

$1.6(20)=1.3(20)+k$

Let us solve for k.

$32=26+k$

$32-26=26-26+k\\\\6=k$

Therefore, the price function p is continuous at $x=20$ , when k is equal to 6.

5 0

3 years ago