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3 years ago

Plot the points (-6,8) and (-6,-3) on the coordinate plane below.

Mathematics

1 answer:

Nutka1998 [239]3 years ago

7 0

Step-by-step explanation:

the distance between these two points is 11 units

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Save Work out the size of angle AED. b) Work out x

Mamont248 [21]

Answer:

x = 10°

Step-by-step explanation:

a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"

Therefore, in cyclic quadrilateral ABDE,

m∠ABD + m∠AED = 180°

110° + m∠AED = 180°

m∠AED = 180° - 110°

= 70°

b). AD = ED [Given]

m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]

m∠EAD = m∠AED = 70°

By triangle sum theorem in ΔABD,

m∠BAD + m∠ABD + m∠ADB = 180°

m∠BAD + 110° + 40° = 180°

m∠BAD = 180 - 150

= 30°

m∠AEB = m∠AED + m∠DAB [By angles addition postulate]

m∠AEB = 70° + 30°

= 100°

By triangle sum theorem in the large triangle,

x° + m∠AEB + m∠EAB = 180°

x° + 100° + 70° = 180°

x = 180 - 170

x = 10°

8 0

2 years ago

How do you solve this exponential equation

cluponka [151]

Subtract*************************************************************88888

5 0

3 years ago

Suppose we roll a fair die and let X represent the number on the die. (a) Find the moment generating function of X. (b) Use the

Likurg_2 [28]

Answer:

(a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{2 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die, $P(X)=\frac{1}{6}$

(a) Moment generating function can be written as $M_{x}(t)$ .

$M_x(t)=\sum_{x=1}^{6} P(X=x)$

$M_{x}(t)=\frac{1}{6} e^{t}+\frac{1}{6} e^{2 t}+\frac{1}{6} e^{3 t}+\frac{1}{6} e^{4 t}+\frac{1}{6} e^{5 t}+\frac{1}{6} e^{6 t}$

$M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) Now, find $E(X) \text { and } E\((X^{2})$ using moment generating function

$M^{\prime}(t)=\frac{1}{6}\left(e^{t}+2 e^{2 t}+3 e^{3 t}+4 e^{4 t}+5 e^{5 t}+6 e^{6 t}\right)$

$M^{\prime}(0)=E(X)=\frac{1}{6}(1+2+3+4+5+6)$

$\Rightarrow E(X)=\frac{21}{6}$

$M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)$

$M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)$

$\Rightarrow E\left(X^{2}\right)=\frac{91}{6}$

Hence, (a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$ .

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

6 0

3 years ago

Zoe compares the price of a sweatshirt at two stores. At Store A, the sweatshirt costs $25. A friend told her that the sweatshir

Rudiy27

Answer:

A) (1+0.3)25

Explanation:

Zoe's expression 25+0.3(25) equals to 32.5. So the only expression that equals to 32.5 is A) (1+0.3)25.

8 0

3 years ago

Ronan spent $306 for 17 tickets how much will one ticket cost

sdas [7]

Each ticket cost 18$

6 0

3 years ago

Read 2 more answers