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3 years ago

Find the values of c and d that would make the following equation true

Mathematics

1 answer:

Hitman42 [59]3 years ago

5 0

Answer:

c = 2, d = 3

Step-by-step explanation:

multiply factors on left side gives

9 c $y^{3+d}$ = 18 $y^{6}$ ( divide both sides by 9 )

c $y^{3+d}$ = 2 $y^{6}$

For both sides to be equal then

c = 2 and 3 + d = 6 ⇒ d = 3

As a check

left side = 2 $y^{3}$ × 9 $y^{3}$ = 18 $y^{6}$ = right side

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Quadratic function of Y=x2-2x-3

Svetach [21]

Ok! So, given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value. Now, let's refer back to our original graph, y = x2, where "a" is 1.

Hope this helps.

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3 years ago

What is the exact value of tan 30° ? Enter your answer, as a simplified fraction, in the box.

Romashka [77]

Hmmm if you don't have a Unit Circle, this is a good time to get one, many you can find online. Anyhow, check your unit circle for cos(30°) and sin(30°).

$\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\qquad \qquad tan(30^o)=\cfrac{sin(30^o)}{cos(30^o)}
\\\\\\
tan(30^o)=\cfrac{\quad \frac{1}{2}\quad }{\frac{\sqrt{3}}{2}}\implies tan(30^o)=\cfrac{1}{2}\cdot \cfrac{2}{\sqrt{3}}\implies tan(30^o)=\cfrac{1}{\sqrt{3}}
\\\\\\
\stackrel{\textit{and now if we rationalize the denominator}}{\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{3}}{(\sqrt{3})^2}\implies \cfrac{\sqrt{3}}{3}}$

8 0

3 years ago

Read 2 more answers

HURRY PLEASE! WILL GIVE BRANLIEST :D

kvasek [131]

Answer:

the answer would be choice A

3 0

3 years ago

Read 2 more answers

Can i please get your help , it will mean a lot if you actually do and luvya so for helping genuinely :)

Art [367]

Answer:29

Step-by-step explanation:

Opposite angles in a quadrilateral (the trapezium inside the circle) must add up to 180, so 180-92 = 88.

So DAB = 88

Angles on a straight line add up to 180, so to find t, you have to 180 - 88 - 63 = 29

So t is 29.

Hope that helps!

8 0

3 years ago

Rewrite -4/15 as an equivalent fraction

timofeeve [1]

$(\frac{-4}{5} )$ in the form of Equivalent Fraction can be written as $\frac{-4x}{15x}$ , where "x" is any integer.

As per the question statement, we are provided with a fraction, $(\frac{-4}{5} )$ .

We are required to rewrite the above mentioned fraction in the form of a general Equivalent Fraction.

To solve this question, we need to know what an equivalent fraction is.

Equivalent fractions are those fractions that have different numerators and denominators but are equal to the same value, when simplified.

For example, $(\frac{1}{2}, \frac{2}{4}, \frac{3}{6}, \frac{4}{8})$ all equate to $\frac{1}{2}$ when simplified.

Now, for this case, equivalent fractions of $(\frac{-4}{5} )$ are $(\frac{-8}{30}, \frac{-12}{45}, \frac{-16}{60},...)$ , where

$\frac{-8}{30}=\frac{(-4)*2}{15*2}\\\frac{-12}{45}=\frac{(-4)*3}{15*3}\\ \frac{-16}{60}=\frac{(-4)*4}{15*4}$

i.e., the equivalent fractions of $(\frac{-4}{5} )$ are in the form of $\frac{-4x}{15x}$ , where "x" can be any integer, (...-6, -5, -4, -3, -2, -1, 2, 3, 4, 5, 6...)

Fractions: In mathematics, a fraction is a numerical entity that is not a whole number.

To learn more about fractions, click on the link below.

brainly.com/question/17912

#SPJ9

5 0

1 year ago