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frutty [35]
3 years ago
14

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

Mathematics
2 answers:
Shalnov [3]3 years ago
7 0
To evaluate the dot product of (7,5) and (-5,4)
this can be written in vector form as:
7i+5j and -5j+4j
thus the dot product will be:
(7i+5j)*(-5j+4j)
=(-5*7)+(5*4)
=-35+20
=-15
thus the answer is -15
ryzh [129]3 years ago
4 0

Answer:

(7i+5j)\cdot(-5i+4j)=-15

Step-by-step explanation:

The given two points are:

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

Writing them in vector form, we get

(7i+5j) and (-5i+4j)

Now, the product of these two vectors is given as:

=(7i+5j)\cdot(-5i+4j)

=(-5)(7)+(5)(4)

=-35+20

=-15

Therefore, (7i+5j)\cdot(-5i+4j)=-15

which is the required dot product.

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A baker purchased 13 lb of wheat flour and 14 lb of rye flour for a total cost of $14.85. A second purchase, at the same prices,
postnew [5]

An equation is formed when two equal expressions. The cost per pound of wheat flour is $0.55 and the cost of per pound of rye flour is $0.55.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the cost of a pound of wheat flour be x and the cost of a pound of rye flour be y.

A baker purchased 13 lb of wheat flour and 14 lb of rye flour for a total cost of $14.85.

13x + 14y = $14.85

x = (14.85-14y)/13

A second purchase, at the same prices, included 15 lb of wheat flour and 12 lb of rye flour.

15x + 12y = $14.85

Substitute the value of x from the above equation and solve for y,

\dfrac{15(14.85-14y)}{13} + 12y = 14.85\\\\222.75-210y+156y = 193.05\\\\y = 0.55

Substitute the value of y in any one of the equations formed,

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13x = 7.15

x = 0.55

Hence, the cost per pound of wheat flour is $0.55 and the cost of per pound of rye flour is $0.55.

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8 0
2 years ago
A diagonal of a cube measures
Gennadij [26K]

Answer: 7cm

Step-by-step explanation:

Use pythagorean theorum:

Variables:

Let the edge = A

Face diagonal (F) = 10cm

Inner diagonal (I) = sqrt(150) cm

A^2 = I^2 - F^2

A^2 = [sqrt(150)]^2 - 10^2

A^2 = 150 - 100

A^2 = 50

A = sqrt(50)

A = 7.0710678 cm

A = 7cm (to the nearest tenth)

so, length of an edge = 7cm

4 0
2 years ago
You need to write 0.63 as a fraciton. How do you choose the denominator?
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You move the decimal over twice to get 63% and then put it over 100, 63/100 to get a fraction
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The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=1 and x=0, and a root of multiplici
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<span>P(x) = (x-5)^2(x^2)(x+5)</span>
7 0
3 years ago
Determine the pattern in the table and write the function rule. <br> Please help asap.
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8 0
3 years ago
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