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3 years ago

Find the value of x.

Mathematics

1 answer:

olchik [2.2K]3 years ago

7 0

Answer:

x = 4

Step-by-step explanation:

In $\triangle BAC, \: DE || AC$

Hence, by basic proportionality theorem:

$\frac{x + 2}{x} = \frac{3}{2} \\ \\ \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\ \huge \red { \boxed{\therefore \:x = 4}}$

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Hellllppppppppp pleaseeee<br><br> Find the largest whole number to equal the length of the triangle

BigorU [14]

Answer:

2. 9
3. 10
4. 9
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7 0

2 years ago

The slope of the line that contains the points (1, -1) and (2, 3) is 4. What is the y-intercept?

MrRissso [65]

Y- intercept =-5
y-y1=m(x-x1)
y-(-1)=4(x-1)
y+1=4(x-1)
y+1=4x-4
y=4x-4-1
y=4x-5
Or
y=4x+b
-1=4(1)+b
-1=4+b
-1-4=b
-5=b. Y-intercept is -5

4 0

3 years ago

Consider the quadratic equation ax^2+bx+5=0, where a, b, and c are rational and the quadratic has two didstinct zeros if one zor

erica [24]

Answer:

It can either be rational or irrational

Step-by-step explanation:

Given the quadratic equation ax²+bx+5 = 0, to get the zeros of the function, we will factorize the function to have;

ax²+bx = -5

x(ax+b) = -5

x = -5 and ax+b = -5

From the second function we have;

ax+b = -5

ax = -5-b

x = -5-b/a

This shows that the other value of x can be rational or irrational depending on the values of a and b

3 0

3 years ago

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

Which choices are equivalent to the expression below? Check all that apply

ipn [44]

The expression which is equivalent to √(-9) is 3i.

<h3>What is Complex number?</h3>

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

Here, given expression;

y = √(-9)

y = √9 X √(-1)

y = 3√(-1)

y = 3i

Thus, the expression which is equivalent to √(-9) is 3i.

Learn more about Complex number from:

brainly.com/question/10251853

#SPJ1

5 0

2 years ago