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KiRa [710]
3 years ago
11

Evaluate the dot product of (7, 5) and (- 5, 4)

Mathematics
1 answer:
melamori03 [73]3 years ago
5 0

Answer:

The dot product of (7,5) and (-5,4) is -15

Step-by-step explanation:

Given

(7,5) and (-5,4)

Required

Determine the dot product

Dot product is calculated using the following formula;

a.b = {a_1b_1+a_2b_2+...+a_nb_n}

Let a = (7,5) and b = (-5,4);

The above formula becomes

a.b = {7*-5+5*4}

a.b = {-35+20}

a.b = {-15}

Hence, the dot product of (7,5) and (-5,4) is -15

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What is the measure of Angle<br> 1 and Angle 2?
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The measure of angle 1 would be (3x+2) and the measure of angle 2 would be (5x+10). There is no way to determine the exact degrees of these angles because not enough information is given.
3 0
2 years ago
If UV ≅ UX and WX=23, what is VW?<br><br> VW =
expeople1 [14]

Answer: VW= 23

Step-by-step explanation:

Because UV  =  UX the bisector has to split it evenly therefor WX = VW

So the answer is 23!  Does this make sense?

7 0
2 years ago
Which equation can be used to solve for x in the following diagram?
Setler [38]

∑ Hey, petalssquad10 ⊃

Answer:

( 10 x + 10 ) = 110

Step-by-step explanation:

As you can see this following diagram shown a vertical angles which  are angles that are opposite of each other when two lines cross. You can also see it kind of look like a "x". Vertical angles also means that they have the same angle measure. A example is if this angle is "110" then the other sides equal to "110''.

Hence, the equation we can be used to solve for x in the following diagram is:

( 10 x + 10 ) = 110

You can also refer to the image below:

<u><em>xcookiex12</em></u>

<u><em></em></u>

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6 0
2 years ago
Get the general term for the sequence being your t3 = 11 and the t20 = 244.2
marusya05 [52]

Answer:

nth term = t_{n} = 7.639(1.2)^{n - 1}

Step-by-step explanation:

Let us assume that the given sequence is a G.P.

Now, if the first term of the G.P. is a and the common ratio is r, then

Third term = t_{3} = ar^{2} = 11 .......... (1) and  

20th term = t_{20} = ar^{19} = 244.2 ........... (2)

Now, dividing equation (2) with equation (1) we get

\frac{ar^{19} }{ar^{2} } = \frac{244.2}{11} = 22.2

⇒ r^{17} = 22.2

⇒ r = 1.2.

Hence, from equation (1) we get

a(1.2)² = 11

⇒ a = 7.639 (Approx.)

Therefore, the general term of the sequence i.e. nth term = t_{n} = 7.639(1.2)^{n - 1} (Answer)

5 0
3 years ago
Find the missing value of the sides.
umka2103 [35]

Answer:

The values for both of the missing sides is 8.

Step-by-step explanation:

The hypotenuse of a right triangle = a(square root of 2)

Therefore the other two missing sides equal a.

Therefore, the other two sides equal 8.

7 0
3 years ago
Read 2 more answers
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