Answer:
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A quadratic equation is given to us.
- The equation is 2x² + 7x +6=0
And we need to find out the roots of the given equation. We can use the middle term splitting method to find out the roots as ,
<u>Given </u><u>equation</u><u> </u><u>:</u><u>-</u>
Step 1: <u>Find</u><u> out</u><u> the</u><u> </u><u>factors</u><u> </u><u>of </u><u>1</u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>
We will choose the two factors such that their sum equals to the coefficient of x i.e. 7 .The factors are , 1×12 , 2×6 , 3×4 .
- And 3 + 4 = 7. So we will break the middle term into 3x and 4x .
Step 2 :<u> Breaking</u><u> the</u><u> </u><u>middle</u><u> term</u><u> </u><u>:</u><u>-</u><u> </u>
Step 3: <u>Take </u><u>out </u><u>common</u><u> </u><u>from </u><u>terms </u><u>:</u><u>-</u>
Step 4 : <u>Equate </u><u>them </u><u>with </u><u>0</u><u> </u><u>:</u><u>-</u><u> </u>
<u>Hence </u><u>the</u><u> </u><u>correct</u><u> </u><u>options </u><u>are </u><u>C </u><u>and </u><u>D </u><u>.</u>
Well C=Dπ so C=17 x 3.14 = 53.38 which is rounded to 53.4
(1) QS bisecting <PQR implies <PQS = <SQR
(2) <PQS=45 deg and (1) imply <SQR also = 45 deg
(3) from (2) it follows that <PQR = <PQS + <SQR = 45 + 45 deg = 90 deg and therefore the triangle is right-angled
Answer: 15 yards
Step-by-step explanation:
From the question, we are given the information that Lucia has 18 pieces of ribbon that she uses to decorate presents and that the length of one ribbon is 5/6 of a yard.
Therefore, the number of yards of ribbon that Lucia has will be gotten by multiplying 5/6 by the total pieces of ribbon. This will be:
= 5/6 × 18
= 15 yards
Answer
Find out the selling price of the scrapbook kit .
To prove
As given
I craft store retailer uses a markup rate of 65%.
A scrapbook kit cost $20 .
Than 65% is written in the decimal form.

= 0.65
Mark up price = 0.65 × 20
= $ 13
Selling price of Scrapbook kit = Cost of Scrapbook kit + Mark up price.
= 13 + 20
= $33
Therefore the the selling price of the scrapbook kit $33.