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3 years ago

FInd the equation of a perpendicular line to y=-2 that passes through the points (4,-2)

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

y=-2 is a horizontal line so x must be a vertical line through (4,-2)

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In an auditorium, a charity show is conducted in order to raise at least $3,750. The auditorium can accommodate up to 180 specta

Maksim231197 [3]

Answer:

See explanation

Step-by-step explanation:

Let $x,\ x\ge 0$ be the number of students and $y,\ y\ge 0$ be the number of adults on the show.

1. Tickets cost $15 for students, so x student tickets cost $15x.

Tickets cost $25 for adults, so y adult tickets cost $25y.

Total cost of all tickets is $(15x + 25y).

The charity show is conducted in order to raise at least $3,750, thus

$15x+25y\ge 3,750$

2. The auditorium can accommodate up to 180 spectators, hence

$x+y\le 180$

3. We get the system of inequalities:

$\left\{\begin{array}{l}x\ge 0\\y\ge 0\\x+y\le 180\\15x+25y\ge 3,750\end{array}\right.$

Plot all solutions sets to each inequality and the common region is the solution set to the system of inequalities. This region is not empty, so the charity will reach its goal. For example, if they sell 50 students tickets and 125 adult tickets, they will raise $\$(15\cdot 50+25\cdot 125)=\$3,875$

8 0

3 years ago

Hey can someone help me :)

Arada [10]

1.
Convert 22 miles to feet.

1 mile = 5280 feet

22 × 5280 = 116,160 feet

2.
To convert this you divide the speed by 60 since there's 60 minutes in an hour
125/60 = 2.0833....

Since you round the answer would be
2.1 miles per minute

6 0

3 years ago

(a+4)² - 3²<br> Factored out

uranmaximum [27]

Answer:

$a = - 7$

$a = - 1$

Step-by-step explanation:

$(a+4) {}^{2} - 3 {}^{2} \\ a {}^{2} + 8a + 16 - 9 \\ a {}^{2} + 8a + 7 \\ a {}^{2} + a + 7a + 7 \\ a(a + 1) + 7(a + 1) \\ (a + 7)(a + 1) \\ a + 7 = 0 \: \: \: \: or \: \: \: \: a + 1 = 0 \\ a = - 7 \: \: \: \: \: \: \: \: or \: \: \: a = - 1$

8 0

3 years ago

Find the factors and the greatest common factor 375,66,333

lyudmila [28]

Answer:

the greatest common factor is 3

Step-by-step explanation:

375: 1, 3, 5,11, 15, 25, 75, 125, 375

66: 1, 2, 3, 6, 11, 22, 33, 66

333: 1, 3, 9, 37, 111, 333

5 0

3 years ago

Can someone help me question 17? Pls I really need how I can solve this question???

Anit [1.1K]

You can use the distance formula: d = sqrt((second x value - first x value)^2 + (second y value - first y value)^2):
answer : d = sqrt((3+2)^2+(6+6)^2) = 11.95826074 units

4 0

3 years ago