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4 years ago

Estimate the sum or difference, Use the benchmarks 0, 1/2, 1.

Mathematics

1 answer:

Oksana_A [137]4 years ago

5 0

It is B might might be wing :/

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Line b passes through the Point(-3, -4) and has a slope of -1/2. What is the equation of Line b in standard form?

Anna11 [10]

Answer:

$x+2y=-11$

Step-by-step explanation:

Slope intercept form of a line is given by:

$y=mx+b$

Where

m is the slope and b is the y-intercept

Given slope is $-\frac{1}{2}$

We can write:

$y=-\frac{1}{2}x+b$

Now to find b, we replace x with -3 and y with -4, given, so we have:

$y=-\frac{1}{2}x+b\\-4=-\frac{1}{2}(-3)+b\\-4=\frac{3}{2}+b\\b=-5.5$

So, the equation is:

$y=-\frac{1}{2}x-\frac{11}{2}$

Now,

The standard form is given by:

$Ax+By=C$

So, we take x and y to left side and the constant to right side. Rearranging, we get:

$y=-\frac{1}{2}x-\frac{11}{2}\\2y=-x-11\\x+2y=-11$

The first answer choice is right.

3 0

3 years ago

Find the slope of the line passing through the points (-9, -6) and (-4, 5)

Masja [62]

Answer:

11/5 slope

Step-by-step explanation:

5-(-6) -4-(-9)

11/ 5

4 0

3 years ago

Read 2 more answers

A rectangle has a perimeter of 58 inches. The length is five more than twice the width. Write and solve an equation to determine

Ymorist [56]

Answer:

The width is 8 inches.

Step-by-step explanation:

Let the width be x. Per the question, the length should be 2x + 5. Set up a perimeter equation and solve for x.

I have attached the work to your problem.

Please see the attachment below.

I hope this helps!

8 0

3 years ago

A yacht that travels 1.375 km in 165 minutes expressed in km/h

Tomtit [17]

The speed of a yacht traveling a distance of 1.357 km in 165 minutes is 0.5 km/h

<h3>What is Speed?</h3>

The speed of an object is the distance covered by the object in respect to time.

Mathematically:

$\mathbf{Speed = \dfrac{distance}{time}}$

$\mathbf{Speed = \dfrac{1.375 \ km}{165 minutes }}$

We know that 60 minutes = 1 hour
165 minutes = 2.75 hours

$\mathbf{Speed = \dfrac{1.375 \ km}{2.75 \ hours}}$

Speed = 0.5 km/hour

Learn more about calculating speed here:

brainly.com/question/4931057

8 0

2 years ago

A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during

diamong [38]

The number of times the image of the octagon will coincide with the preimage during rotation is determined by:
N = R/C

where
N is the number of times the preimage coincided with the rotated image during rotation
R is the angle of rotation
C is the central angle of the regular polygon

For an octagon, the central angle is
C = 360/8 = 45

So,
N = 360 / 45 = 8

Therefore, the rotated image of the octagon will coincide with the preimage 8 times during rotation.

8 0

3 years ago