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2 years ago

Is the radicals in 225 a perfect square

Mathematics

1 answer:

Elza [17]2 years ago

8 0

The answererrrrrr isssssss 15

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Combining like terms-5x+5

Liula [17]

Answer:

This term would not change at all when combining like terms.

Step-by-step explanation:

Because the first term has a variable and the second does not, they can not be combined. Therefore, there is not change to this assignment

8 0

2 years ago

Convert to find the equivalent rate. 972 cups minute = quarts minute

bearhunter [10]

Answer:

Convert to find the equivalent rate. 972 cups minute = quarts minute

if there is 4 cups in a quart the answer would be:

972 / 4 = 243

Step-by-step explanation:

4 0

2 years ago

let a = (a1, a2) and b = (b1, b2) and c = (c1,c2) be three non zero vectors. if a1b2 - a2b1 is not equal to 0. then show three a

Ksenya-84 [330]

Consider the contrapositive of the statement you want to prove.

The contrapositive of the logical statement

p ⇒ q

¬q ⇒ ¬p

In this case, the contrapositive claims that

"If there are no scalars α and β such that c = αa + βb, then a₁b₂ - a₂b₁ = 0."

The first equation is captured by a system of linear equations,

$\begin{cases}c_1 = \alpha a_1 + \beta b_1\\ c_2 = \alpha a_2 + \beta b_2\end{cases}$

or in matrix form,

$\begin{pmatrix}c_1\\c_2\end{pmatrix} = \begin{pmatrix}a_1&b_1\\a_2&b_2\end{pmatrix}\begin{pmatrix}\alpha\\\beta\end{pmatrix}$

If this system has no solution, then the coefficient matrix on the right side must be singular and its determinant would be

$\begin{vmatrix}a_1&b_1\\a_2&b_2\end{vmatrix} = a_1b_2-a_2b_1 = 0$

and this is what we wanted to prove. QED

3 0

2 years ago

Triangle ABC is an equilateral triangle. How many lines of symmetry does triangle ABC have?

xxTIMURxx [149]

1 because it can't be reflected over more than one line to be the same

4 0

2 years ago

A shelf is designed so it will fit in a 90º corner between two walls. The shelf has dimensions, rounded to the nearest tenth, as

den301095 [7]

Answer:

Yes, it will fit snugly in a 90º corner

Step-by-step explanation:

To do this, we simply need to check if the given sides of the shelf is right-angled.

So, we have:

$Hypotenuse = \sqrt{242$

$Side\ 1 = Side\ 2 = 11$

To check for right-angle triangle, we make use of:

$Side\ 1^2 + Side\ 2^2 = Hypotenuse^2$

This gives:

$11^2 + 11^2 = \sqrt{242}^2$

$121 + 121 = \sqrt{242}^2$

$242 = \sqrt{242}^2$

$242 = 242$

This shows that the given sides of the shelf is a right-angled triangle.

Hence, it will fit the wall

4 0

2 years ago