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4 years ago

If y varies directly with x, and y = 10 when x = 4, write the direct linear variation equation

2 answers:

4 0

The answer is c. I chose the answer c because y=5/2x(I think you forgot to put the x in the question) filled in with the numbers are true while a, b, and d aren't true if filled with 10 and 4.

igomit [66]4 years ago

4 0

Answer:

$y=\frac{5}{2}x$

Step-by-step explanation:

Given,

y varies directly with x,

I.e. $y\propto x$

$\implies y = kx ----(1)$

Where,

k = constant of proportionality,

We have,

y = 10 when x = 4

From equation (1),

$10=4x\implies x = \frac{10}{4}=\frac{5}{2}$

Again from equation (1),

$y=\frac{5}{2}x$

Which is the required direct linear variation equation.

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Evaluate log25+log8 _log2

Lemur [1.5K]

Step-by-step explanation:

log 25 + log 8 = log (25 × 8) = log 200

log 200 - log 2 = log (200 ÷ 2) = log 100

logarithm base 10 of 100 is 2.

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3 years ago

Solve for x. 5x=-25 X=-125 X=-30 X=-20 X=-5

Lesechka [4]

Answer:

x= -5

Step-by-step explanation:

Divide each term by

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3 years ago

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Diano4ka-milaya [45]

This is the concept of volumes of solid figures;
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3 years ago

84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value

Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) $x^{-3/2}$

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

$x^{-3/2}=\frac{1}{x^{3/2} }$

And now, solving for x = 9 we have:

$\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} } =\frac{1}{27}$

b) $y^{4/3}$

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

$y^{4/3}=8^{4/3}=16$

c) $z^{-3/4}$

Using the same property we used in a) we have:

$z^{-3/4}=\frac{1}{z^{3/4} }$

And now, solving for z = 16 we have:

$\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}$

4 0

3 years ago

Exterior angle theorem what is the value of u? I’m willing to give brainlist!!

KengaRu [80]

Answer: 45

Explanation: two angles that form a Line always equal 180 degrees, so we start with the equation 180-u+47, which is the measure of the missing interior angle measure. All of the angles inside of a triangle also equal 180 degrees, so we can set up this equation to find U:
u-18+u+(180-u+47)=180
We can start to simplify by first simplifying what’s inside the parenthesis:
u-18+u+153-u=180
Then you solve the equation to get
U=45 degrees

4 0

2 years ago