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2 years ago

What is the slope of the equation 2x + 2y = 8

Mathematics

1 answer:

rjkz [21]2 years ago

3 0

Answer:

slope= -1

Step-by-step explanation:

2x+2y=8

2y=-2x+8

y=-x+4

slope=-1

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Identify the solutions to the quadratic equation x^2+3-28=0

umka2103 [35]

Answer: x= -+ 5

Step-by-step explanation: $x^{2} = 25 X = \sqrt{25} \\X = 5 and X = -5$

7 0

2 years ago

The radius of a circular field is 70 metres.

NeTakaya

Answer: 439.82

Step-by-step explanation:

C=2πr=2·π·70≈439.82297

3 0

1 year ago

Read 2 more answers

A college student is taking two courses. The probability she passes the first course is 0.67. The probability she passes the sec

andrezito [222]

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that $P(A) = 0.67$

The probability she passes the second course is 0.7.

This means that $P(B) = 0.7$

The probability she passes at least one of the courses is 0.79.

This means that $P(A \cup B) = 0.79$

a. What is the probability she passes both courses

This is $P(A \cap B)$ .

We use the following relation:

$P(A \cup B) = P(A) + P(B) - P(A \cap B)$

$P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58$

0.58 = 58% probability she passes both courses

5 0

2 years ago

Angle x is a third quadrant angle such that cos x = -1/5.

Yuki888 [10]

Starting from the formula

$\cos^2(x)=\dfrac{1+\cos(2x)}{2}$

We can divide all the angles by 2 and we get

$\cos^2\left(\dfrac{x}{2}\right)=\dfrac{1+\cos(x)}{2}$

And finally

$\cos\left(\dfrac{x}{2}\right)=\pm\sqrt{\dfrac{1+\cos(x)}{2}}$

Angle x is a third quadrant angle, meaning that it is somewhere between 180 and 270. This implies that x/2 lies between 90 and 135. So, x/2 is a second quadrant angle, and its cosine is negative. This means that we can update the previous equation to

$\cos\left(\dfrac{x}{2}\right)=-\sqrt{\dfrac{1+\cos(x)}{2}}$

You know that

$\cos(x)=-\dfrac{1}{5}$

so, plug that value into the expression and you'll get cos(x/2).

4 0

2 years ago

EXPERT HELP I'LL GIVE BRAINLIEST:

ICE Princess25 [194]

Answer:

990, C

Step-by-step explanation:

The formula for the surface area of the bottom cushion is

A = 2wl + 2lh + 2hw (w is width, l is length, h is height)

w = 18, l = 21, h = 3

A = 2(18)(21) + 2(21)(3) + 2(3)(18)

A = 2(378) + 2(63) + 2(54)

A = 756 + 126 + 108

A = 990 (C)

5 0

2 years ago