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2 years ago

Let V=(2,8) and W=(-1,-4)

Mathematics

2 answers:

MArishka [77]2 years ago

6 0

Answer:

A.) The x-component of V is 2

B.) V= -2W

C.) V·W= -34

Tcecarenko [31]2 years ago

4 0

Answer:

B, and W are correct i think

Step-by-step explanation:

You might be interested in

5/6 plus blank equals to 5/2

Tju [1.3M]

Answer:

$\frac{5}{3}$

Step-by-step explanation:

let blank be O

$\frac{5}{6} +O=\frac{5}{2} \\$

$O=\frac{5}{2} -\frac{5}{6} =\frac{15}{6} -\frac{5}{6} =\frac{10}{6} =\frac{5}{3}$

8 0

3 years ago

PLEASE HELP!!!

AfilCa [17]

Answer:

$h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.$

$JP=5\sqrt{3}\ cm$

Step-by-step explanation:

Connecting points O and E and points O and J, we get triangle EOJ. This triangle is equilateral triangle, because OJ=OE=JE=r=10 cm.

Since EP⊥IJ, then segment JP is the height of the triangle EOJ.

The height of the equilateral triangle can be found using formula

$h=\dfrac{a\sqrt{3}}{2},$

where a is the side length.

So,

$h=\dfrac{10\sqrt{3}}{2}=5\sqrt{3}\ cm.$

Therefore JP is 5√3 cm

3 0

3 years ago

Write an equation of the line passing through point p that is parallel to the given line.

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

y=-3x+13

y = mx + b, where m is the slope and b is the y-intercept.

A line parallel to this line will have the same slope, -3. We can start by writing:

y = -3x + b

No matter what is chosen for the value of b, this line will be parallel. We do want the line to go through point (6,10), however. The way that can be done is to find a value of b that would shift the line to go through (6,10).

Find b by entering the point (6,10) into the equation, and then solve for b:

y = -3x + b

10 = -3(6) + b

10 = -18 + b

b = 28

The line becomes y = 3x + 28

See the attachment.

8 0

3 years ago

A geometric progression has a third term of 20 and a sum of infinity which is 3 times the first term. Find the first term

Anna007 [38]

Answer: the first term is 45

Step-by-step explanation:

Step 1: The formular for the nth term is ar^n-1 and since we're solving for the third term ar^3-1 = ar² which is equal to 20

So ar²= 20 and we make this equation i

Step 2: the formular for the sum of infinity is Sn = a/(1-r) and according the question the sum of infinity is equals to 3 *A ( A means the first term)

Further simplification gives us

3a= a/(1-r)

We simplify Futher by multiplying both sides by (1-r)

3a.(1-r) = a/(1-r).(1-r)

3a(1-r)=a

= 3a-3ar=a

Make 3ar the subject of the formula

3ar= 2a and lets make this equation (ii)

Step 3: From the first equation since ar²=20, let's make a the subject of the formula by dividing both sides by r²

Ar²/r² = 20/r²

A=20/r²lets make this equation (iii)

Step 4: subtitle a as 20/r² into equation (ii)

Since 3ar=2a

Then 3.(20/r²).r = 2. 20/r²

= (60/r²) .r = 40/r²

60/r = 40/r2

Multiplying both sides by r² gives us

60r = 40

Divide both sides by 20 gives us

= 3r= 2

Divide both sides by 3 gives us

= r = 2/3

Step 5: substitute r for 2/3 in equation i

ar²= 20

a. (2/3)2 = 20

= a.4/9 = 20

= 4a = 180

= a = 180/4

a = 45

5 0

3 years ago

John answered 80% of the questions correctly. There were 30 questions on the test. How many questions did John answer correctly?

Liula [17]

Answer:

he got 24 right

Step-by-step explanation:

30 time 80% is 24

7 0

3 years ago