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2 years ago

HELPPPPPPPPP Write the quadratic expression to represent the pattern to the right

Mathematics

1 answer:

Lerok [7]2 years ago

4 0

Answer:

n^2 + 2n - 1

Step-by-step explanation:

Figure 1

2*2 - 2

Figure 2

3*3 - 2

Figure 3

4*4 - 2

Equation for nth term

(n + 1)^2 - 2 =
n^2 + 2n + 1 - 2 =
n^2 + 2n - 1

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Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!

Westkost [7]

Answer:

In radical from 169/50 , 177/200

Step-by-step explanation:

Given:

$2x^2=5x+6\\\\2x^2-5x-6=0\\\\Where, a=2 , b=-5 , c=-6$

Find:

Value of $x$

Computation:

Using quadratic formula:

$\frac{-b\±\sqrt{b^2-4ac} }{2a}\\\\By\ putting\ all\ value\\\\ \frac{-(-5)\±\sqrt{(-5)^2-4(2)(-6)} }{2(2)}\\\\ \frac{5\±\sqrt{25+48} }{4}\\\\ \frac{5\±8.54 }{4}\\\\\frac{5+8.54 }{4},\frac{5-8.54 }{4} \\\\3.38 , 0.885$

Value of $x$ 3.38 , 0.885

In radical from 169/50 , 177/200

8 0

3 years ago

A family travels 989.5 miles in 17.8 hours. Estimate the number of miles they can travel in one hour.

antoniya [11.8K]

989.5 divided by 17.8 is 55.5898876404
so about 55 ish
I think that's right but I'm not sure :)

3 0

3 years ago

Help with matrices please? Any wrong/not applicable answers will be reported and BLOCKED

marin [14]

m x H = $\left[\begin{array}{ccc}-25&37.5&-12.5\\\9\end{array}\right]$

Step-by-step explanation:

Step 1; Multiply 5 with this matrix $\left[\begin{array}{ccc}-1&2\\4&8\\\end{array}\right]$ and we get a matrix $\left[\begin{array}{ccc}-5&10\\20&40\\\end{array}\right]$

Multiply the fraction $\frac{2}{5}$ with the matrix $\left[\begin{array}{ccc}-1&2\\4&8\\\end{array}\right]$ and we get $\left[\begin{array}{ccc}-\frac{2m}{5} &\frac{4m}{5} \\\frac{8m}{5} &\frac{16m}{5} \\\end{array}\right]$

Step2; Now equate corresponding values of the matrices with each other.

-5 = $\frac{-2m}{5}$ and so on. By equating we get the value of m as $\frac{25}{2}$

Step 3; Add the matrices to get the value of matrix m.

Adding the three matrices on the RHS we get $\left[\begin{array}{ccc}2&9&-9\\\end{array}\right]$ .

Step 4; Adding the matrices on the LHS we get the resulting matrix as H +

$\left[\begin{array}{ccc}4&6&-8\\\9\end{array}\right]$ . Equating the matrices from step 3 and 4 we get the value of H as $\left[\begin{array}{ccc}-2&3&-1\\\9\end{array}\right]$

Step 5; Now to find the value of m x H we need to multiply the value of $\frac{25}{2}$ with the matrix $\left[\begin{array}{ccc}-2&3&-1\\\9\end{array}\right]$

Step 6; Multiplying we get the matrix m x H = [ -25 $\frac{75}{2}$ $\frac{-25}{2}$ ]

8 0

3 years ago

What is the radius and diameter

kotegsom [21]

Diameter- Is two times the radius. Circumference is the distance around the edge of the circle.

Radius- A line from the center of a circle to a point on the circle.

Hope this helped.

7 0

2 years ago

Read 2 more answers

What are the coordinates of pont P on the coordinate grid below?

Shalnov [3]

Answer:

It would be (-5,3). Hope this helps!

Step-by-step explanation:

Start from zero on the x line and count until you get to the where the P is, then start from zero and count on the Y line till you get to the P.

5 0

2 years ago