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3 years ago

Find the value of x and y in parallelogram WXYZ.

Mathematics

1 answer:

navik [9.2K]3 years ago

3 0

Answer:

x = 13, y = 7

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

x - 7 = 6 ( add 7 to both sides )

x = 13

and

2y - 6 = 8 ( add 6 to both sides )

2y = 14 ( divide both sides by 2 )

y = 7

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What is the range of h?

Bas_tet [7]

Answer:

-3 ≤y≤6

Step-by-step explanation:

The range is the output values or the y values

The y values go from -3 to 6 including these values

-3 ≤y≤6

3 0

3 years ago

62. Height Kirsten places her surveyor's telescope on the top of

Solnce55 [7]

Answer:

21 feet

Step-by-step explanation:

Given :

Height of the tripod above the ground = 5 ft

Elevation = 8°

Distance of the tree from the tripod = 120 ft

Therefore from the figure, we can find the height of the tress as:

$\tan 8 ^\circ = \frac{BC}{AB}$

$0.1405 = \frac{BC}{120}$

∴ BC ≈ 16

Therefore, CE = BC+BE

= 16 + 5

= 21

Therefore the height of the tree is 21 feet.

4 0

3 years ago

How do I solve for x here? Use the properties of logarithms to find a value for x. Assume a,b, and M are constants.

Leona [35]

Yes, you're right! The first step is rewriting the equation as

$\ln(a) + \ln(b^x) = M$

Subtract $\ln(a)$ from both sides:

$\ln(b^x) = M-\ln(a)$

Use the property $\ln(a^b) = b\ln(a)$ to rewrite the equation as

$x\ln(b) = M-\ln(a)$

Divide both sides by $\ln(b)$

$x = \dfrac{M-\ln(a)}{\ln(b)}$

Alternative strategy:

Consider both sides as exponents of e:

$e^{\ln(ab^x)} = e^M$

Use $e^{\ln(x)} = x$ to write

$ab^x = e^M$

Divide both sides by a:

$b^x = \dfrac{e^M}{a}$

Consider the logarithm base b of both sides:

$x = \log_b\left(\dfrac{e^M}{a}\right)$

The two numbers are the same: you can check it using the rule for changing the base of logarithms

7 0

3 years ago

Which of the following equations represents a linear function? Question 8 options: y =6x x3 – y = –2 y =4x−−√ 2x – 4y = 6

Alekssandra [29.7K]

Answer:

Following equations represents a linear function:

y = 6x

y = 4x - √2

x – 4y = 6

Step-by-step explanation:

We know that a linear function is of the form

$y = mx+b$

where m is the rate of change or slope and b is the y-intercept.

Please note that y = mx+b represents a straight line because the degree of a linear function is always 1.

Now, let us check whether the given functions represent the linear functions or not.

Checking y = 6x

y = 6x

comparing with the equation y = mx+b

slope = 6, and y-intercept b = 0

y = 6x is a straight line because the degree of the linear equation is always 1.

Checking x³- y = -2

x³- y = -2

As the power of x variable 3. So, its graph will no longer be a straight line,

Thus, it is not a linear function as a linear function can not have any exponent.

Hence, x³- y = -2 is not a linear function.

Checking y = 4x - √2

y = 4x - √2

comparing with the equation y = mx+b

slope = 4, and y-intercept b = -√2

Thus, y = 4x - √2 is a straight line because the degree of the linear equation is always 1. Thus, the graph of y = 4x - √2 is a straight line.

Checking x – 4y = 6

x – 4y = 6

writing the in the form y = mx+b

4y = x - 6

divide both sides by 4

4y/4 = x/4 - 6/4

y = x/4 - 3/2

comparing with the equation y = mx+b

slope = x/4, and y-intercept b = -3/2

Thus, x – 4y = 6 is a straight line because the degree of the linear equation is 1. Thus, the graph of x – 4y = 6 is a straight line.

SUMMARY:

Following equations represents a linear function:

y = 6x

y = 4x - √2

x – 4y = 6

4 0

3 years ago

9. Simplify the algebraic expression. Use virtual algebra tiles or draw if you need

AURORKA [14]

The answer for the question is -7x+4

4 0

3 years ago

Read 2 more answers