Line l has a slope of the line through which of the following pair of points is perpendicular to l?

Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta

bonufazy [111]

Answer:

1 mile = 1,609 meters is the key to converting the rates of the two swimmers

Step-by-step explanation:

there are 60 seconds in a minute and 60 minutes in an hour

so 1.8 meters/sec x 60 sec/min x 60 min/hr = 6480 meters/hr

now we convert meters to miles

6480 meters/1 hr x 1 mile/1609 meters = roughly 4 miles/hr (4.027)

or we can convert the other rate to meters/sec

2.5 mi/hr x 1hr/60 min x 1min/60 sec = 0.00069444 mi/sec

then convert miles to meters

0.00069444 mi/sec x 1609meters/ 1mi = roughly 1.1 meters/sec (1.117)

5 0

3 years ago

Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. We obtain the fol

Vitek1552 [10]

Answer:

Please see attachment

Step-by-step explanation:

Please see attachment

5 0

3 years ago

Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?

denis23 [38]

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Step-by-step explanation:

The perfect-square trinomial x² + 2ax + a² = (x + a)², then

1. The first term in the trinomial is square the 1st term in the bracket

2. The middle term in the trinomial is the product of 1st , 2nd

terms of the bracket and 2

3. The 3rd term in the trinomial is square the 2nd term in the bracket

∵ The expression is x² + 12x

∵ We must add the 3rd term which make it perfect-square trinomial

- Divide 12x by 2 to find the product of the 1st term and 2nd term

in the bracket

∵ 12x ÷ 2 = 6x

∴ The 1st term is x and the 2nd term is 6 of the bracket

∵ The 3rd term in the trinomial is square the 2nd term in the bracket

∴ The 3rd term in the trinomial is 6² = 36

∴ x² + 12x + 36 = (x + 6)²

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Learn more:

You can learn more about perfect-square trinomial in brainly.com/question/7932185

#LearnwithBrainly

4 0

2 years ago

A cube has volume 216cm find total surface area of cube

Katena32 [7]

Answer:

Answer: 216 cm2 (square centimetres $cm^{2}$ , in your question you had to put cm3, cubic centimetres, it's IMPORTANT )

Step-by-step explanation:

A perfect cube by definition has 3 equal dimensions, as an immediate rule: volume and total surface are equal, only the unit of measure changes (cubic for the volume, square for surface).

But let's calculate it anyway:

Volume = Edge * Edge * Edge = length * width * depth = $Edge^{3}$ (remember: all edges are equal in this case)

so Edge = $\sqrt[3]{Volume}$

in your example Edge = $\sqrt[3]{216}$ = 6cm

So the surface of one side is 6*6 = 36 $cm^{2}$

There are 6 sides in total, so the total surface is 6*36 = 216 $cm^{2}$

Note: I call them "edges" but in case of a cube most say just "length"

3 0

3 years ago

Using numbers 12,4,5,17,12 make 24. <br> Helllpppp

romanna [79]

Answer: To get 24

Step-by-step explanation

What you would need to do is first multiply 12 x 5 would come out as 60.

Then from 60 you subtract 17 and 12 to get 5. Divide by the 5 that you just got from 17 and 12 and to get 20. Using the 4 add it to the 20 to get 24.

4 0

2 years ago