Answer: Mural height: 22ft and the Mural width is 10ft
Step-by-step explanation: I took the test and got it wrong, but they told me the correct answers after I took the test. (I got to K-12) Proof:
Construct a rectangle with sides 6cm and 4cm.
2 answers:
Answer:
- First, draw a line segment AB = 6 cm.
- Draw a ray AX with pencil and compass such that ∠BAX = 90°. Draw an arc of 4 cm with point A which intersects AX at D.
- Similarly, draw ray BY such that ∠ABY = 90°. Draw an arc of 4 cm with point B which intersects BY at C.
- Join CD.
- Thus ABCD is the required rectangle.
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The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
<h3>How to find the factors of a quadratic expression?</h3>If the given quadratic expression is of the form
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, we're provided the expression:
We can write 10 as multiple of -5 and -2 and
we can write -7 as sum of -5 and -2. Thus, we get:
Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
Learn more about factorization of quadratic expression here: