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kakasveta [241]
3 years ago
12

Factor 4a2 - 25. Type your answer in the space provided. Type your answer in the space provided. Do not type spaces in your answ

er. Use only lowercase letters and include all necessary parentheses, variables and operation signs. For example, if the answer is (x +1)(x+2), type (x+1)(x+2).
Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer: The answer to this question is (2a-5)(2a+5)

Step-by-step explanation:

  • Because first,  you have to write the quadratic equation 4a^2-25 in exponential form

  •  Then, you calculate the product by multiplying the terms with equal exponents by multiplying their bases

      (2a)^2-5^2

  •     And then last but not least, using a^2-b^2=(a-b)(a+b), factor the expression

    (2a-5)(2a+5) and then there's your answer and your explanation!!!!!

         

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X² + 3x + k = 0<br>pls help​
denis-greek [22]

Answer:

\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}

Step-by-step explanation:

x^2+3x+y=0

4\left\bigg(-\frac{1}{4}\right)\left\bigg(y-\frac{9}{4}\right)=\left\bigg(x-\left\bigg(-\frac{3}{2}\right)\right)^2

\bold{\mathrm{Therefore\:parabola\:properties\:are:}}

\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{9}{4}\right),\:p=-\frac{1}{4}

3 0
2 years ago
Imagine tossing a fair coin 3 times. what is the sample space for this chance proces
Natasha_Volkova [10]
A fair coin just means 50% heads 50% tails. so the sample is still 50% heads 50% tails.
8 0
2 years ago
0=4t-16t^2 Solve this please
vaieri [72.5K]

Answer:

\large\boxed{t=0\ \vee\ t=\dfrac{1}{4}}

Step-by-step explanation:

4t-16t^2=0\qquad\text{divide both sides by 4}\\\\\dfrac{4t}{4}-\dfrac{16t^2}{4}=\dfrac{0}{4}\\\\t-4t^2=0\\\\t(1-4t)=0\iff t=0\ \vee\ 1-4t=0\\\\1-4t=0\qquad\text{subtract 1 from both sides}\\\\-4t=-1\qquad\text{divide both sides by (-4)}\\\\t=\dfrac{1}{4}

7 0
3 years ago
points m and n are two vertices of a right triangle. they are the endpoints of the hypotenuse mn of the triangle. the third vert
Alekssandra [29.7K]

Answer:

HEY IMAGE IS BLUR

Step-by-step explanation:

4 0
3 years ago
Directions: for questions 1 through 4, find the diagonal length of each solid figure.
Alex787 [66]
\text{The length of the diagonal is }11.2\text{ mm}

Here, we want to find the diagonal of the given solid

To do this, we need the appropriate triangle

Firstly, we need the diagonal of the base

To get this, we use Pythagoras' theorem for the base

The other measures are 6 mm and 8 mm

According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the diagonal as l

Mathematically;

\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}

Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above

Thus, we calculate this using the Pytthagoras' theorem as follows;

\begin{gathered} d^2=5^2+10^2 \\ d^2\text{ = 25 + 100} \\ d^2\text{ = 125} \\ d\text{ = }\sqrt[]{125} \\ d\text{ = }11.2\text{ mm} \end{gathered}

7 0
9 months ago
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