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prisoha [69]
3 years ago
13

Evaluate the variable expression xyz for the given values of x, y, and z. x = 4/5 , y = −15, z = 7/8

Mathematics
2 answers:
Georgia [21]3 years ago
7 0

Answer:

xyz = - 21 / 2

Step-by-step explanation:

xyz = (4/5)(-15)(7/8) = (4×-15×7)/(5×1×8)

= (4×-3×5×7)/(5×1×4×2)......    because:    15 = 5×3 and 8 = 4×2

xyz = - 21 / 2

Sav [38]3 years ago
6 0

Answer:

The answer is -10.5

Step-by-step explanation:

You can just simply multiply the numbers above.

xyz=(4/5)*(-15)*(7/8)=-10.5

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Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?
BlackZzzverrR [31]

Answer:

\boxed{\sf a = 9 }

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

\sf\longrightarrow 3x - 2y +7=0

\sf\longrightarrow 6x +ay -18 = 0

Step 1 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>

\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}

and ,

\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}

Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

\sf\longrightarrow Slope_1 = \dfrac{3}{2}

And the slope of the second line is ,

\sf\longrightarrow Slope_2 =\dfrac{-6}{a}

Step 3: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>

\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1

Multiply ,

\sf\longrightarrow \dfrac{-9}{a}= -1

Multiply both sides by a ,

\sf\longrightarrow (-1)a = -9

Divide both sides by -1 ,

\sf\longrightarrow \boxed{\blue{\sf a = 9 }}

<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>

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2 years ago
Need help asap.. thanks​
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Answer: search it up

Step-by-step explanation:

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3 years ago
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Evaluate <br> (-315) ×4<br> with the correct explaination
Naya [18.7K]

\Large\textsf{\textbf{Answer\::}}

-1, 260

\large\textsf{\textbf{Calculations\;:}}

First , take a look at the signs of the numbers we're asked to multiply .

One of them is negative , and the other one is positive .

If we have a negative number times a positive number , the product is a positive number .

Multiply :

(-315) × 4

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\footnotesize\text{hope\:helpful~}

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2 years ago
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