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3 years ago

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Counting numbers are to be formed using only the digits 1, 9, 8, 6, 2, 4, and 5. determine the number of different possibilities

for two-digit numbers

1 answer:

MAXImum [283]3 years ago

8 0

Assuming numbers can repeat

$7^2=49$

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What is the slope and y-intercept of line q graphed below?

beks73 [17]

The correct answer is C) 1/3 and (0, 1)

The y-intercept part is somewhat simple. In order for it to be a y-intercept, the x value of the ordered pair must be 0. That is only true in B and C, therefore they are the only possible answers.

To find the slope, we must choose two points on the line and use the slope formula. We can start by using the y-intercept (0, 1) and also (3, 2). Now we use the slope formula.

m = (y2 - y1)/(x2 - x1)

In this equation m is equal to slope, the first point is (x1, y1) and the second point is (x2, y2)

m = (y2 - y1)/(x2 - x1)

m = (2 - 1)/(3 - 0)

m = 1/3

Now knowing the slope, you can match this with answer C.

3 0

3 years ago

(Can somebody find the sum of this) <br><br><br> (5+2i)+(8-3i)

7nadin3 [17]

Hey there!!

Okay so here are the steps....

(5 + 2i) + (8 - 3i) <---- when we have exponents we should worry about the "i" because it is equal to √-1 but here it isn't the case.
<u>

(13 - i)</u><u /> <----- This is the answer!

<u />I hope this helps! ^__^

7 0

3 years ago

Solve for x<br> 4(1 - x) + 2x = -3 (x + 1)

Blababa [14]

Answer:

x = -7

Step-by-step explanation:

4(1 - x) + 2x = -3 (x + 1)

4 - 4x + 2x = - 3x - 3

- 4x + 2x + 3x = - 3 - 4

x = -7

8 0

3 years ago

DOES ANYONE KNOW THE ANSWER ???? Please I can’t fail this test !

Zigmanuir [339]

Answer:

The last option

Step-by-step explanation:

You take the middle 2 numbers, add them up, and divide by 2.

6 0

2 years ago

1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch

kykrilka [37]

Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle.

Thus, half the angle formed by the chord at the centre of the circle is given by:

$\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2} \\ \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o$

Now,

$\sin60^o= \frac{9}{r} \\ \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392$

Therefore, the radius of the circle is 10.4 cm to 1 d.p.

Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

$\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o$

Now,

$\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm$

Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

$\sin40^o= \frac{y}{10} \\ \\ \\ \Rightarrow y=10\sin40^o=6.428$

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.

3 0

3 years ago