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3 years ago

Pls help me I know this is easy I’m just not smart

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

3 0

Answer:

Step-by-step explanation:

Given :

5c+cd where, $C=\frac{1}{5}$ and d=15

Now,

5× $\frac{1}{5} +\frac{1}{5} (15)$

=1+3

Answer is 4

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Solving quadratic equations with complex solutions x2 + 4x + 8 = 0.

Daniel [21]

Answer:

$\large\boxed{x=-2\pm2i}$

Step-by-step explanation:

$x^2+4x+8=0\qquad\text{subtract 8 from both sides}\\\\x^2+4x+8-8=0-8\\\\x^2+2(x)(2)=-8\qquad\text{add}\ 2^2\ \text{to both sides}\\\\x^2+2(x)(2)+2^2=-8+2^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2=-8+4\\\\(x+2)^2=-4\iff x+2=\pm\sqrt{-4}\\\\x+2=\pm\sqrt{(4)(-1)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x+2=\pm\sqrt4\cdot\sqrt{-1}\qquad\text{use}\ \sqrt{-1}=i\\\\x+2=\pm2\cdot i\qquad\text{subtract 2 from both sides}\\\\x=-2\pm2i$

4 0

2 years ago

Please help!!<br> I grant brainliest.

AVprozaik [17]

Answer:

x = 65, y = 63

Step-by-step explanation:

∠ EGA = ∠ HBG = 52° ( corresponding angles )

ED is a straight angle, thus

52 + y + 65 = 180, that is

y + 117 = 180 ( subtract 117 from both sides )

y = 63

-------------------------------------

∠ HGB = y = 63° ( vertical angles )

The sum of the 3 angles in a triangle = 180°, thus

x + 63 + 52 = 180

x + 115 = 180 ( subtract 115 from both sides )

x = 65

4 0

3 years ago

How to do zero-product property

SVEN [57.7K]

An number multiplied by zero is zero. This is because you are essentially saying that 1,000 0 times is zero.

6 0

3 years ago

What is the proportionality of 4 and 1.50?

Llana [10]

Answer:

y = 0.375x

Step-by-step explanation:

Let there are two variables, one independent variable x and another dependent variable y which are in proportionality relation.

So, y ∝ x

⇒ y = kx ........... (1) {Where k is the proportionality constant}

Let us assume that the given values of 4 and 1.50 are values of x and y respectively.

Hence, from equation (1) we get, 1.5 = 4k

⇒ k = 0.375

So, the proportionality equation is y = 0.375x (Answer)

5 0

3 years ago

The function f(t) = t2 + 4t − 14 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Sh

Cloud [144]

Answer:

A) The vertex ( h , k) = ( -2 , -18)

B) The minimum value of the given function = - 18

C) The Axis of the symmetry for f(t) is y -axis

Step-by-step explanation:

Given a parabola f(t) = t² + 4 t − 14

f(t) = t² + 2(2) t + (2)²-4− 14

f(t) = (t +2)² - 18

Let comparing y = (x +2)² -18

(x +2)² = y + 18

(x-h))² = 4 a ( y - k))²

<em>The vertex ( h , k) = ( -2 , -18)</em>

Given a parabola f(t) = t² + 4 t − 14

Differentiating with respective to 't'

f¹(t) = 2 t + 4

f¹(t) = 2 t + 4 = 0

now $t = \frac{-4}{2} = -2$

Again Differentiating with respective to 't'

$f^{ll} (t) = 2 (1) >0$

f(x) has a minimum value at t = -2

Given f(t) = t² + 4 t − 14

f( -2) = 4 + 4(-2) -14 = 4 -8 -14 = -18

The minimum value of the given function = - 18

f(t) = (t +2)² - 18

Let comparing y = (x +2)² -18

(x +2)² = y + 18

(x-h))² = 4 a ( y - k))²

The vertex ( h , k) = ( -2 , -18)

The Axis of the symmetry for f(t) is y -axis

8 0

3 years ago