choose the equation of the horizontal line that passes through the point (−2, −1) a. y = -1 b. y = - 2 c. x = -2 d. x = -1

Answers

Answer 1

Answer: $(-2;\fbox{-1})\n\n\boxed{y=-1}\to\fbox{a.}$

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... the product of 86 and the depth of the river ... into variable expression

Answers

A variable expression is an expression that contains variables or letters in their simplest form. If we assign real values to the variables, then we can evaluate the variable expression for that real value.

Since we do not know the depth of the river, we assign a variable to it.

We let the variable $d$ , represent the depth of the river.

Then, the product of $86$ and the depth of the river $=86* d=86d$

product means multiplication either
86n
or

86*n which are the same thing

Solve for x
log(x–4)+log(x+3)=2logx

Answers

$D:x-4>0 \wedge x+3>0 \wedge x>0\nD:x>4 \wedge x>-3 \wedge x>0\nD:x>4\n\n\log(x-4)+\log(x+3)=2\log x\n\log(x-4)(x+3)=\log x^2\n(x-4)(x+3)=x^2\nx^2+3x-4x-12=x^2\n-x=12\nx=-12\n-12\not\in D\n\Downarrow\n\boxed{x\in\emptyset}$

IF JOHN RAN A 5-KILOMETER MARATHON HOW LONG WAS THAT IN METERS?

Answers

A kilometer is composed of 1000 meters. The term "kilo" means "a thousand."

So 5 kilometers means 5 1000 meters, thus it is equal to 5,000 meters.

1 km = 1000 meters

5 km * 1000 m / km = 5 * 1000 m = 5,000 meters

1 m = 0.001 km

5 km * 1m/0.001km = 5 m / 0.001 = 5,000 meters

In the graph of the equation, 2x – 8y = 32, what is the y-intercept (b) of the line? Express the answer as an ordered pair.

Answers

2x-8y=32

Add 8y to both sides

2x-8y+8y=32+8y

2x=8y+32

Now just divide both sides by 2

2x/2= 8y+32/2

x= 4y+16

So the y value is 4 and the x value is 16

The y-intercept is 4

(16,4)

I hope that's help:0

If two lines intersect and form 4 right angles, then ___________.a. the lines are parallel
b. the lines are perpendicular
c. the angles are complementary
d. the lines are not coplanar

Answers

the answer is b. Perpendicular.
The lines look like this:

Given the following triangle, if c = 18.6 and m B = 43°, find the length of BC (side a) to the nearest whole number.

Answers

Answer:

= 14

Step-by-step explanation:

Given a right angled triangle with hypotenuse length c =18.6 and ∠B = 43°.

We can use the trigonometric forms of a right angled triangle,

That is;

Cos 43 = Adjacent/Hypotenuse

That is;

Cos 43 = BC/AC = a/c

Therefore;

Cos 43 = a/18.6

a = 18.6 × cos 43

= 13.603

= 14

Therefore, BC or a is 14 (to the nearest whole number)