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3 years ago

If BD and AC are perpendicular , DBE = (2x - 1), and CBE = (5x - 42), find the value of x.

Mathematics

1 answer:

grin007 [14]3 years ago

8 0

Is this a circle? We need a picture

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Carlos used 6 boards to build 2/3 of a front porch. How many boards will Carlos use to build the whole porch? Express your answe

antiseptic1488 [7]

Answer:

9 boards

Step-by-step explanation:

2/3 of the porch= 6 boards

so to figure out how much one third of the porch needs you find half of what it takes to fill in 2/3 of the porch and you get 3.

so 3=1/3 of the porch

then you simply do 3times 3 or 3+3+3 and you get 9

so it takes 9 boards to fill the whole porch

8 0

3 years ago

After being rearranged and simplified, which of the following equations could be solved using the quadratic formula?

Alecsey [184]

For this case we must indicate which of the equations shown can be solved using the quadratic formula.

By definition, the quadratic formula is applied to equations of the second degree, of the form:

$ax ^ 2+ bx+ c = 0$

Option A:

$2x ^ 2-3x +10 = 2x + 21$

Rewriting we have:

$2x ^ 2-3x-2x+ 10-21 = 0\\2x ^ 2-5x-11 = 0$

This equation can be solved using the quadratic formula

Option B:

$2x ^ 2-6x-7 = 2x ^ 2$

Rewriting we have:

$2x ^ 2-2x ^ 2-6x-7 = 0\\-6x-7 = 0$

It can not be solved with the quadratic formula.

Option C:

$5x ^ 2 + 2x-4 = 2x ^ 2$

Rewriting we have:

$5x ^ 2-2x ^ 2 + 2x-4 = 0\\3x ^ 2 + 2x-4 = 0$

This equation can be solved using the quadratic formula

Option D:

$5x ^ 3-3x + 10 = 2x ^ 2$

Rewriting we have:

$5x ^ 3-2x ^ 2-3x + 10 = 0$

It can not be solved with the quadratic formula.

Answer:

A and C

4 0

3 years ago

Read 2 more answers

Write a cubic function whose graph goes through the points: (-5, 0) (1, 0) (2, -2) (4, 0)

Free_Kalibri [48]

Answer:

f(x) = $\frac{1}{7}(x+5)(x-1)(x-4)$

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = $\frac{2}{14}$

p = $\frac{1}{7}$

Therefore, equation will be,

f(x) = $\frac{1}{7}(x+5)(x-1)(x-4)$

5 0

3 years ago

What is the value of the function when x = 2? <br> <br> x −4 −2 0 2 4<br> y 3 4 2 6 7

Savatey [412]

Where is the function?

8 0

3 years ago

Can I get some help, it is due in 15 minutes and I need help. Thanks, any help appreciated

koban [17]

Well, I'm way past the 15 min mark, but here's how to do the question.

With this, you will need to use the distance formula, $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ , on XY, YZ, and ZX.

XY: $\sqrt{(3-1)^2+(1-6)^2}$

Firstly, solve inside the parentheses: $\sqrt{(2)^2+(-5)^2}$

Next, solve the exponents: $\sqrt{4+25}$

Next, solve the addition, and XY's distance will be √29

(The process is the same with the other 2 sides, so I'll go through them real quickly)

YZ:

$\sqrt{(6-3)^2+(3-1)^2}\\ \sqrt{(3)^2+(2)^2}\\ \sqrt{9+4}\\ \sqrt{13}$

ZX:

$\sqrt{(1-6)^2+(6-3)^2}\\ \sqrt{(-5)^2+(3)^2}\\ \sqrt{25+9}\\ \sqrt{34}$

Now that we got the 3 sides, we can add them up: $\sqrt{29}+\sqrt{13} +\sqrt{34} =14.8$

In short, your answer is 14.8, or the second option.

8 0

3 years ago