MATHEMATICS HIGH SCHOOL

Write an expression for the shaded area

Answers

Answer 1

Answer:

Answer:

4x(x+2) - x(3x+5)

Step-by-step explanation:

the area of the whole box is 4x(x+2)

to find the area of the shaded portion you have to subtract the area of the tiny box from the big box

the area of the tiny box is x(3x+5)

so, 4x(x+2) - x(3x+5) is the expression you can use to find the area of the shaded portion

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Jerome bikes 5 miles in 20 minutes. ..
Find the number of miles he'll bike in 2 hours

Answers

Answer:

30 miles

Step-by-step explanation:

there are 60 minutes in an hour. if he rides 5 miles in 20 minutes, 20 time 3 is 60 so hes up to 15 miles then you add 4 more 20's to get to another 60 and that would be 30miles hope this heped!

5 miles by 20min

10miles by 40min

15 miles by 60 min

20 miles by 1hr 20min

25miles by 1hr 40 min

30 miles by 2hr

Answer:

200 miles

Step-by-step explanation:

distance = speed * time

speed = distance/time

time= distance/speed

We are finding the miles. That equals to distance. Which is speed * time. 5 * 20= 100.

It says after 2 hours. So, double that 100 to get 200.

Quadrilateral ABCD is inscribed in a circle. m A is 64°, m B is (6x + 4)°, and m C is (9x - 1)°. What is m D?A. 64°
B. 82°
C. 90°
D. 98°
E. 116°

Answers

Answer: Choice D) 98 degrees

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Explanation:

The quadrilateral is inscribed in the circle which means every corner point (A,B,C,D) is on the circle. No part of the quadrilateral is outside the circle.

One property of inscribed quadrilaterals is that the opposite angles add to 180 degrees. So,
A+C = 180
B+D = 180

We know that
A = 64
B = 6x+4
C = 9x-1

Let's use angles A and C to find x
A+C = 180
64+9x-1= 180
9x+63 = 180
9x+63-63 = 180-63
9x = 117
9x/9 = 117/9
x = 13

Which helps us find angle B
B = 6x+4
B = 6*13+4
B = 78+4
B = 82 degrees

Then we can finally find angle D
B+D = 180
82+D = 180
82+D-82 = 180-82
D = 98 degrees

Answer:

choiced c 98

Step-by-step explanation:

How do you solve this?

Answers

$x^2-3x-4=0\n\nx^2-2x\cdot(3)/(2)=4\ \ \ /+((3)/(2))^2\n\nx^2-2x\cdot(3)/(2)+((3)/(2))^2=4+((3)/(2))^2\n\n(x-(3)/(2))^2=4+(9)/(4)\n\n(x-(3)/(2))^2=(16)/(4)+(9)/(4)\n\n(x-(3)/(2))^2=(25)/(4)\n\nx-(3)/(2)=\pm\sqrt(25)/(4)$

$x-(3)/(2)=\pm(√(25))/(\sqrt4)\n\nx-(3)/(2)=\pm(5)/(2)\n\nx-(3)/(2)=-(5)/(2)\ or\ x-(3)/(2)=(5)/(2)\n\nx=-(5)/(2)+(3)/(2)\ or\ x=(5)/(2)+(3)/(2)\n\nx=-(2)/(2)\ or\ x=(8)/(2)\n\nx=-1\ or\ x=4$

Why not simply factor the left side ?

(x - 4) times (x + 1) = 0

This equation is true if either factor is zero.

(x - 4) = 0
x = 4

(x + 1) = 0
x = -1

A person drove at 24 miles per hour for 4 hours, then at 20 miles per hour for 2 hours. How far did the person drive in all?