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2 years ago

What is the slope of the line perpendicular to the given line? 5x - 2y = 14

Mathematics

1 answer:

motikmotik2 years ago

3 0

Answer:

$-\frac{2}{5}.$

Step-by-step explanation:

1) if to re-write the given equation into slope-interception form, then:

$y=\frac{5}{2}x-7;$

the slope of the given line is 5/2;

2) according to the rule of perpendicular, the required slope should be:

s*(5/2)=-1;

3) if to solve this equation (s*5/2=-1), then s=-2/5 or -0.4.

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lilavasa [31]

Answer:

Step-by-step explanation:

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Alternate solution. 5x3 divded 2 =7.5 plus 6x3 divided by 2 = 9 plus 7x ? = 27.5!

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3 years ago

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3 years ago

If Sin 3x= Cos (x-60), find the value of x

Kamila [148]

Answer:

x = 15

Step-by-step explanation:

Assuming 3x and x-60 are in degrees, you can use:

cos(a) = sin(a+90)

To rewrite the equation as:

sin(3x) = sin(x-60+90)

sin(3x) = sin(x+30)

3x = x+30

2x = 30

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3 years ago

Write the expression 44(4–7)(4) using a single exponent.

Ghella [55]

<h3>The given expression as single exponent is:</h3>

$4^4 \times 4^{-7} \times 4 = 4^{-2}$

Solution:

Given expression is:

$4^4 \times 4^{-7} \times 4$

In exponents,

When the base is same, exponents can be added

Which means,

$a^m \times a^n = a^{m+n}$

Therefore,

$4^4 \times 4^{-7} \times 4 = 4^{4-7+1}\\\\Simplify\\\\4^4 \times 4^{-7} \times 4 = 4^{-3+1} \\\\4^4 \times 4^{-7} \times 4 = 4^{-2}$

Thus the given expression as single exponent is:

$4^4 \times 4^{-7} \times 4 = 4^{-2}$

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3 years ago

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ANTONII [103]

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replace x with 3

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the answer is C

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3 years ago