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3 years ago

Use the geometric properties and theorems you have learned to solve for x.

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

7 0

Answer:

where is x

Step-by-step explanation:

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Please?

marishachu [46]

Answer:

k = 9/8

Step-by-step explanation:

For a root with multiplicity 2, the discriminant must be zero. For quadratic ax^2 +bx +c, the discriminant is ...

d = b^2 -4ac

For your quadratic, a=2, b=3, c=k, so you want ...

3^2 -4(2)(k) = 0

9 -8k = 0

k = 9/8

6 0

3 years ago

A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogra

lesya [120]

Answer:

8.8

Step-by-step explanation:

first you divide 28/7 (because there are 7 days in the week) you take that number, which is 4 and multiply it was 2.2 to convert the 4 kilograms into pounds.

3 0

4 years ago

Consider the graph shown.

Butoxors [25]

Answer:

$Slope=\frac{3}{4}$

The equation of line is $y=\frac{3}{4}x+1$ .

Step-by-step explanation:

If a line passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ , then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

From the given graph it is clear that the line is passes through the points (0,1) and (4,4).

$Slope=\frac{4-1}{4-0}$

$Slope=\frac{3}{4}$

The

The slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept

The slope of the line is $\frac{3}{4}$ and y-intercept is 1, so the equation of line is

$y=\frac{3}{4}x+1$

Therefore, the equation of line is $y=\frac{3}{4}x+1$ .

4 0

3 years ago

Write an equation that represents the line. Use exact numbers

malfutka [58]

Answer:

f(x) = -2x -3

Step-by-step explanation:

-3 is the point in the y-axis, making it value b

the slope is 1/-2 making the value m = -2

8 0

3 years ago

Integration of dx/3sin^2 -4

Scilla [17]

Answer:

= 1/2 tan^(-1)(2 cot(x)) + constant

Step-by-step explanation:

Take the integral:

integral1/(3 sin^2(x) - 4) dx

Multiply numerator and denominator of 1/(3 sin^2(x) - 4) by -sec^2(x):

= integral-(sec^2(x))/(4 sec^2(x) - 3 tan^2(x)) dx

Prepare to substitute u = tan(x). Rewrite -(sec^2(x))/(4 sec^2(x) - 3 tan^2(x)) using sec^2(x) = tan^2(x) + 1:

= integral-(sec^2(x))/(tan^2(x) + 4) dx

For the integrand -(sec^2(x))/(tan^2(x) + 4), substitute u = tan(x) and du = sec^2(x) dx:

= integral-1/(u^2 + 4) du

Factor out constants:

= - integral1/(u^2 + 4) du

Factor 4 from the denominator:

= - integral1/(4 (u^2/4 + 1)) du

Factor out constants:

= -1/4 integral1/(u^2/4 + 1) du

For the integrand 1/(u^2/4 + 1), substitute s = u/2 and ds = 1/2 du:

= -1/2 integral1/(s^2 + 1) ds

The integral of 1/(s^2 + 1) is tan^(-1)(s):

= -1/2 tan^(-1)(s) + constant

Substitute back for s = u/2:

= -1/2 tan^(-1)(u/2) + constant

Substitute back for u = tan(x):

= -1/2 tan^(-1)(tan(x)/2) + constant

Which is equivalent for restricted x values to:

Answer: = 1/2 tan^(-1)(2 cot(x)) + constant

6 0

3 years ago

Use the geometric properties and theorems you have learned to solve for x. ​

Use the geometric properties and theorems you have learned to solve for x.