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3 years ago

Please help.......................

Mathematics

1 answer:

Westkost [7]3 years ago

5 0

Answer:

FD = 8

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

$\frac{FD}{BA}$ = $\frac{FE}{BC}$ , substitute values

$\frac{x+3}{2x+2}$ = $\frac{16}{24}$ = $\frac{2}{3}$ ( cross- multiply )

2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides

4x + 4 = 3x + 9 ( subtract 3x from both sides )

x + 4 = 9 ( subtract 4 from both sides )

x = 5

Thus

FD = x + 3 = 5 + 3 = 8

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The table below represents a function. Which of the following equations could be its function rule?

worty [1.4K]

Answer:

$y=2x-2$ is the required equation.

Therefore, the second option is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation of a linear function is given by

$y=mx+b$

where m is the slope and b is the y-intercept

Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(1,\:0\right)$

$m=\frac{0-\left(-2\right)}{1-0}$

$m=2$

substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.

$y=mx+b$

$-2 = 2(0)+b$

$-2=0+b$

$b=-2$

Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function

$y=mx+b$

$y=2x+(-2)$

$y=2x-2$

Thus, $y=2x-2$ is the required equation.

Therefore, the second option is true.

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3 years ago

3 x 2 2/5 pleaseyou guys are supercalifragilisticexpialidocious

Yuliya22 [10]

7.2 is the answer i hope that helps!!!!!!!!!!!

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3 years ago

If x varies directly as y, and x=4 when y=15, find x when y=36.<br>

vesna_86 [32]

Answer:

x = 9.6

Step-by-step explanation:

Given that x varies directly as y then the equation relating them is

x = ky ← k is the constant of variation

To find k use the condition x = 4 when y = 15

k = $\frac{x}{y}$ = $\frac{4}{15}$

x = $\frac{4}{15}$ y ← equation of variation

When y = 36, then

x = $\frac{4}{15}$ × 36 = $\frac{144}{15}$ = 9.6

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4 years ago

Daria earns $17.50 per customer when she gives haircuts if she gave X haircuts on Monday and Y haircuts on Tuesday which express

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Answer:

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3 years ago

Combine terms: 12a + 26b -4b – 16a.

noname [10]

Answer:

The answer is -4a + 22b

Step-by-step explanation:

12a + 26b -4b -16a

12a - 16a + 26b - 4b

-4a + 22b

Thus, The answer is -4a + 22b

<u>-TheUnknownScientist</u>

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3 years ago

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