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3 years ago

What is the answer to 26=t-19

Mathematics

1 answer:

natali 33 [55]3 years ago

8 0

<h3>YOUR QUERY :</h3>

what is the answer to 26=t-19 ?

Answer:

t = 45, okay

Step-by-step explanation:

=》t - 19 = 26

=》t = 26 + 19 ( by adding 19 on both sides )

=》t = 45

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Determine if the pairs of vectors below are "parallel", "orthogonal", or "neither".

Irina18 [472]

Answer:

1.Orthogonal

2.Parallel

3.Neither

Step-by-step explanation:

We have to find pair of vectors are parallel , orthogonal or neither.

1.a=(-3,3,-5) and b=(-6,6,36/5)

We know that when vectors are parallel then,

$\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$

When vectors are orthogonal then,

$a_1a_2+b_1b_2+c_1c_2=0$

$\frac{a_1}{a_2}=\frac{-3}{-6}=\frac{1}{2}$

$\frac{b_1}{b_2}=\frac{3}{6}=\frac{1}{2}$

$\frac{c_1}{c_2}=\frac{-5\times 5}{36}=-\frac{25}{36}$

$\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}$

Hence, the vectors are not parallel.

$a_1a_2+b_1b_2+c_1c_2=-3(-6)+3(6)+(-5)(\frac{36}{5})=18+18-36=0$

Hence, the vectors are orthogonal.

b.a=(-3,3,-5), b=(-6,6,-10)

$\frac{a_1}{a_2}=\frac{-3}{-6}=\frac{1}{2}$

$\frac{b_1}{b_2}=\frac{3}{6}=\frac{1}{2}$

$\frac{c_1}{c_2}=\frac{-5}{-10}=\frac{1}{2}$

$\frac{a_1}{a_2}=\frac{b_1}{b_2}= \frac{c_1}{c_2}$

Hence, the vectors are parallel.

3.a=(-3,3,-5) and b=(12,-12,19)

$a_1a_2+b_1b_2+c_1c_2=-3(12)+3(-12)+(-5)(19)=-36-36-95\neq 0$

Hence, the vectors are not orthogonal.

$\frac{a_1}{a_2}=\frac{-3}{12}=-\frac{1}{4}$

$\frac{b_1}{b_2}=-\frac{3}{12}=-\frac{1}{4}$

$\frac{c_1}{c_2}=\frac{-5}{19}$

$\frac{a_1}{a_2}=\frac{b_1}{b_2}\neq \frac{c_1}{c_2}$

Hence, the vectors are not parallel.

8 0

3 years ago

9. Barbara invests £14,000. In the first year, she earns 5.9% interest. In the second year, she earns 3.2% interest, a. What was

Levart [38]

Answer:

Step-by-step explanation:

Use future value formula to get the total amount at the end of year 1 and year 2;

<u>First, find FV at the end of 1 year.</u>

FV = P(1+r)^n

P = principal amount or amount invested in present value terms = 14,000

r= discount rate = 5.9% OR 0.059 as a decimal

n= total duration of investment = 1

FV = 14,000(1.059)^1

FV= 14,826

P = principal amount or amount invested in present value terms = 14,826

r= discount rate = 3.2% OR 0.032 as a decimal

n= total duration of investment = 1

FV = P(1+r)^n

FV = 14,826 (1.032)^1

FV = <em>15,300. 432</em>

Percentage increase =[ (New value - Old value)/Old value] *100

= [ (15,300.432 - 14,000)/14,000] *100

= (1,300.432/14,000)*100

= 9.2888

Therefore total percentage increase over the 2 years = <u>9.29%</u>

7 0

3 years ago

What is the slope of the line that passes through the given points (2,12) and (6,11)

Naily [24]

Answer:

-1/4

Step-by-step explanation:

You would use rise over run:

12-11/2-6

When simplified, this is -1/4

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3 years ago

The big desk in your boss's office is 75 inches long. How long is that in feet?

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The answer is 6 feet 3 inches

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4 years ago

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What is the measure of Angle A? (picture included)

Sergeu [11.5K]

Answer:

19.4

Step-by-step explanation:

10x-14=180

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3 years ago

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