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2 years ago

Can you graph these inequalities on these number lines for me?

Mathematics

1 answer:

Tanya [424]2 years ago

4 0

<h2><u>Pictures:</u></h2><h3 /><h3>1.) Closed Circle. Point on 0. Arrow going Left.</h3>

(Picture Below)

<h3>2.) Open Circle. Point on -1. Arrow going Right.</h3>

(Picture Below)

<h3 /><h3>3.) Closed Circle. Point on -5. Arrow going Right.</h3>

(Picture Below)

<h3 /><h3>4.) Open Circle. Point on 5. Arrow going Left. </h3>

(Picture Below)

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Plz help :)))))))))))

dusya [7]

Given:

b1 = 17 ft

b2 = 20 ft

h = 13 ft

r = 17/2 = 8.5 ft

Area of the Semi-circle = 1/2 π r²

= 1/2 (22/7) (8.5²)

= (11/7) (72.25)

= 113.535 ft²

Area of the trapezium = (h) (b1 + b2) / 2

= (13)(17 + 20)/2

= 240.5 ft²

Total area of the amphitheater stage = Area of Semi-circle + Area of the trazezium = 113.535 + 240.5 = 354.035 ft²

5 0

3 years ago

Solve the system, enter the smallest x coordinate first

uranmaximum [27]

The solutions to the system of equations are given as follows: (1, -3) and (-4,2).

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The equations are given as follows:

(x + 3)² + (y + 2)² = 17.

x + y = -2.

From the second equation:

y = -2 - x.

Replacing in the first:

(x + 3)² + (y + 2)² = 17.

(x + 3)² + (-2 - x + 2)² = 17

x² + 6x + 9 + x² = 17

2x² + 6x - 8 = 0

2(x² + 3x - 4) = 0

2(x + 4)(x - 1) = 0.

Then the solutions for x are:

x + 4 = 0 -> x = -4.

x - 1 = 0 -> x = 1.

The solutions for y are:

When x = 1, y = -2 - 1 = -3.

When x = -4, y = -2 -(-4) = 2.

Hence the solutions are:

(1, -3) and (-4,2).

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

8 0

2 years ago

88.3 is what % of 21?

m_a_m_a [10]

88.3 is what % of 21
21 × a percent = 88.3
Divide 21 on either sides to find the percentage.
$\frac{21*percentage}{21}$ = $\frac{88.3}{21}$
% = 4.204
88.3 is 4.205% of 21

8 0

2 years ago

MAY SOMEBODY HELP ME THANKS!

yawa3891 [41]

Answer:

15 feet of water spread

Step-by-step explanation:

Area of the circular pattern is 706.50 sq. feet

Area = A = π r^2 = (3.14)* r^2

706.50 = (3.14)* r^2

r^2 = 706.50 / 3.14

r = root (225)

r = 15 feet

5 0

3 years ago

Read 2 more answers

HELP ME!!! Answer in Scientific Notation and explain and show work.

umka21 [38]

Multiplying means you add the exponents and dividing means you subtract the exponents. Treat the decimals as you normally would.
$(4.3 \times {10}^{8} ) \times (2.0 \times {10}^{6} )$
$4.3 \times 2.0 = 8.6$
$8 + 6 = 14$
$8.6 \times {10}^{14}$

$(6 \times {10}^{3} ) \times (1.5 \times {10}^{ - 2} )$
$6 \times 1.5 = 9$
$3 + - 2 = 1$
$9 \times {10}^{1}$

$(1.5 \times {10}^{ - 2} ) \times (8.0 \times {10}^{ - 1} )$
$1.5 \times 8 = 12$
$- 2 + - 1 = - 3$
$12 \times {10}^{ - 3}$

$\frac{(7.8 \times {10}^{3}) }{(1.2 \times {10}^{4}) }$
$\frac{7.8}{1.2} = 6.5$
$3 - 4 = - 1$
$6.5 \times {10}^{ - 1}$

$\frac{(8.1 \times {10}^{ - 2} )}{(9.0 \times {10}^{2} )}$
$\frac{8.1}{9.0} = 0.9$
$- 2 - 2 = - 4$
$0.9 \times {10}^{ - 4}$

$\frac{6.48 \times {10}^{5} }{(2.4 \times {10}^{4} )(1.8 \times {10}^{ - 2}) }$
$2.4 \times 1.8 = 4.32$
$4 + - 2 = 2$
$\frac{6.48 \times {10}^{5} }{4.32 \times {10}^{2} }$
$\frac{6.48}{4.32} = 1.5$
$5 - 2 = 3$
$1.5 \times {10}^{3}$

7 0

2 years ago