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Oksana_A [137]
2 years ago
12

Evaluate2t²-3u+ 2; t= -5, u=72t² - 3u +2=​

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
6 0

Step-by-step explanation:

2(-5)²-3(7)+2

-50-21+2

-71+2

69

it's substitution

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Over a period of 12 weeks, Carlos ran an average of 21 miles per week. How many kilometers is this? Round your answer to the nea
velikii [3]

Answer:

405.80

Step-by-step explanation:

So, we know Carlos ran 21 miles per week, for 12 weeks....

That makes 21 mi/wk x 12 weeks = 252 miles.

Then we know each km is 0.621 mile.

So, we divide 252 miles by 0.621 mile/km to get= 405.80 km

Dividing miles by miles/km gives us the unit we want (km).

<u>There was a trap in this question,</u> because if instead of dividing the 252 miles by 0.621 you would have multiplied it, you would have gotten another answer listed... just not the right one. :-)

5 0
3 years ago
For triangle ABC, angle A=110, angle B=43, and side b=15. Find side c.
vredina [299]

Answer: 10

<u>Step-by-step explanation:</u>

First, find m∠C by using the Triangle Sum Theorem:

∠A + ∠B + ∠C = 180°

110 + 43 + ∠C = 180°

     153   + ∠C = 180°

                ∠C = 27°

Next, Use the Law of Sines to solve for c:

\dfrac{b}{sin\ B}= \dfrac{c}{sin\ C}

\dfrac{15}{sin\ 43}= \dfrac{c}{sin\ 27}

\dfrac{15\ sin\ 27}{sin\ 43}= c

10 = c


8 0
3 years ago
Which equation represents a line that passes through the point ( 6 , − 3 ) and is parallel to the graph of y = 3 x + 1 ?
Ratling [72]

Answer:

              y + 3= 3(x - 6)        ←    point-slope form

             y = 3x - 21           ←    slope-intercept form

             3x - y = 21         ←    standard form

Step-by-step explanation:

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 3x + 1   ⇒    m₁ = 3    ⇒    m₂ = 3

(6, -3)    ⇒    x₁ = 6,  y₁ = -3

point-slope form:

y - (-3) = 3(x - 6)

y + 3 = 3(x - 6)

y + 3 = 3x - 18              {subtact 3 from both sides}

y = 3x - 21        ←    slope-intercept form

-3x + y = -21                 {multiply both sides by (-1)}

3x - y = 21         ←    standard form

8 0
3 years ago
Determine the number of ways to choose a set of 9 pencils from a selection of 10.
enot [183]
The second option. 10

Hope this helps<3
5 0
3 years ago
Is 28 cups greater or less than 14 Pints
marissa [1.9K]
Short answer: NO.

28 cups is exactly equal to 14 pints. (There are 2 cups per pint.)
3 0
3 years ago
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