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3 years ago

Identify the ordered pair that represents the vector from A(-8,-1) to B(-5,3) and the magnitude of vector AB.

1 answer:

wel3 years ago

8 0

In order to find the vector that points from A to B we need to subtract each component of A from the corresponding component of B, according to the formula: v(a→b)=(b1−a1,b2−a2) In this case we have : v(a→b)=(−5−(−8),3−(−1)) <span>v(a→b)=(3,4)

</span>To find the magnitude we use the formula: ||v|= √(v1^2)+(v1^2)

So:
||v|= √(32)+(42) ||v|= √9+16 ||v|= <span>√</span>25 ||v|= 5

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Diagram 1 shows a composite solid consisting of a cuboid and a right pyramid.

kondaur [170]

44 the total volume of this composite solid is 896

4 0

3 years ago

Write in slope intercept form an equation of the line that passes through (-2,5),(-1,1)

Juliette [100K]

Answer:

y=-4x-3

Step-by-step explanation:

Hi there!

We are given the following two points: (-2,5) and (-1,1)

We want to write the equation of the line that passes through these two lines in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope

The formula for the slope (m) calculated from 2 points is $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

We have everything we need to calculate the slope, but let's label the value of the points to avoid any confusion

$x_1=-2\\y_1=5\\x_2=-1\\y_2=1$

Now substitute into the formula

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{1-5}{-1--2}$
Simplify

m= $\frac{1-5}{-1+2}$

Subtract

m= $\frac{-4}{1}$

Divide

m=-4

Now substitute -4 as m into the equation:

y=-4x+b

Now we need to find b

As the equation passes through both (-2, 5) and (-1, 1), we can use either point to help solve for b.

Taking (-2,5) for example:

Substitute -2 as x and 5 as y:

5=-4(-2)+b

Multiply

5=8+b

Subtract 8 from both sides

-3=b

Substitute -3 as b.

y=-4x-3

Hope this helps!

See more on this topic here: brainly.com/question/27304092

4 0

2 years ago

401 km 101 m – 34 km 153 m

Nikolay [14]

Given :

An expression D = 401 km 101 m – 34 km 153 m.

To Find :

Value of D.

Solution :

We know, 1 km = 1000 m.

So, 401 km 101 m =( 401000 + 101 ) m = 401101 m.

Also, 34 km 153 m = ( 34000 + 153 ) m = 34153 m.

Now, D is given by :

D = 401101 - 34153 m

D = 366948 m

Now, D = 366948 m = 366 km 948 m.

Therefore, the difference is 366 km 948 m.

Hence, this is the required solution.

4 0

4 years ago

A brand of grape juice that's is 25% grape juice is mixed with another brand that is 75% grape juice. The result is 7 gallons of

garri49 [273]

Answer:

5.6 gallons.

Step-by-step explanation:

If we take x gallons of 25% grape juice then it will contain $\frac{x}{4}$ gallons of pure grape juice.

Again, if we take y gallons of 75% grape juice then it will contain $\frac{3y}{4}$ gallons of pure grape juice.

If we mix them then the total volume will become x + y = 7 gallons ...... (1)

Again the mixture will become 35% juice.

So, $\frac{\frac{x}{4} +\frac{3y}{4} }{x+y} =\frac{35}{100}$

⇒ 0.25x + 0.75y = 0.35x + 0.35y

⇒0.1x = 0.4y

⇒x = 4y........ (2)

Now, solving equations (1) and (2) we get, 5y = 7, ⇒ y = 1.4 gallons

Hence, x = 4y = 5.6 gallons

Therefore, the 25% grape juice was mixed by 5.6 gallons. (Answer)

4 0

3 years ago

I need help on finals plsssssss

SVEN [57.7K]

Answer:

Our rate is, 10:125

Let's make it a unit rate!

Divide by 10 on both sides:

1:12.5

Step-by-step explanation:

She makes 12.50 dollars per hour.

3 0

3 years ago