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3 years ago

Use the expression, y3 + 4z – 16 to answer the question.

Mathematics

1 answer:

svetlana [45]3 years ago

8 0

Y3 = y x 3 = 4 x 3 = 12
4z = 4 x z = 4 x 6 = 24

12 + 24 - 16

Im using PEMDAS I’m not sure if you use another order of operations if you do just do the expression your way

12 + 24 = 36
36 - 16 = 20

A. 20

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The area of a trapezium is 360 cm² and its height is 18 cm. If one of the parallel sides is longer than the other by 6 cm, then

Leokris [45]

Answer:

The two parallel sides a and b are 17 cm and 23 cm respectively

Step-by-step explanation:

Area of a trapezium = {(a+b)/2} h

Where

h = height = 18 cm

a = parallel side 1 = x

b = parallel side 2 = x + 6

Area of a trapezium = {(a+b)/2} h

360 = {(x + x + 6) / 2} 18

360 = { (2x + 6) / 2} 18

360 = (2x + 6) 9

360 = 18x + 54

Subtract 54 from both sides

360 - 54 = 18x

306 = 18x

Divide both sides by 18

x = 306 / 18

= 17

x = 17 cm

a = parallel side 1 = x

x = 17 cm

b = parallel side 2 = x + 6

x + 6

= 17 + 6

= 23 cm

8 0

3 years ago

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Sphinxa [80]

B-2:1. Twice as much 2 then 1

7 0

3 years ago

Factor to solve: x² + 18x +27 = 8x +3

patriot [66]

Answer: $x=-4$ $or$ $x=-6$

Subtract 8x+3 from both sides

$x^2+18x+27-(8x+3)=8x+3-(8x+3)$

$x2+10x+24=0$

Factor left side of equation

$(x+4)(x+6)=0$

Set factors equal to 0

$x+4=0$ $or$ $x+6=0$

Final Answer: $x=-4$ $or$ $x=-6$

3 0

4 years ago

Plot the inequality on the number line. x ≤ 1 or x>8

Crank

Answer:

See the picture

Step-by-step explanation:

Interval (-∞, 1] U (8, ∞)

6 0

3 years ago

Which of the following is the equation written in logarithmic form?

BaLLatris [955]

Given the expression $b^{3c+1}=5a-d.$

Take a logarithm $\log_b$ from both side of the given expression:

$\log_b b^{3c+1}=\log_b (5a-d).$

From the property $\log_a a^x=x,$ you have that

$\log_b b^{3c+1}=3c+1.$

Then

$3c+1=\log_b (5a-d).$

Answer: correct choice is C

6 0

3 years ago