6+3(13 – 2) - 52 Help me

What are the roots of the polynomial equation? x^2 + x -72 =0

Ulleksa [173]

There are many ways you can go. I'm going to start out factoring the whole thing.
(x+9)(x-8) = 0
seperate these into two different equations.
x+9 = 0 and x-8 = 0
x= -9 x=8
Make sure you check it by substituting. Sometimes you might have to reject an answer. In this case you don't. Therefore, 8 and -9 are your roots!

3 0

4 years ago

Chord AB is 3cm from the center of a circle, the radius of the circle is 5cm, calculate the length of the chord.

yan [13]

Answer:

$\large{\boxed{\sf Chord = 8cm }}$

Step-by-step explanation:

First see figure in attachment . As we know that ,Perpendicular from centre of the circle bisects the chord . Hence here ,

OC is the perpendicular bisector of chord AB .
Let us assume that AC = x , therefore ,

$\sf\qquad\longrightarrow AB = 2AC = 2x$

Now in ∆OAC , by Pythagoras Theorem , we have ;

$\sf\qquad\longrightarrow (5cm)^2= x^2+(3cm)^2\\$

$\sf\qquad\longrightarrow 25cm^2=x^2+9cm^2\\$

$\sf\qquad\longrightarrow x^2=25cm^2-9cm^2\\$

$\sf\qquad\longrightarrow x^2=16cm^2\\$

$\sf\qquad\longrightarrow \pink{ x = 4cm }$

Therefore , the length of chord will be ,

$\sf\qquad\longrightarrow AB = 2x \\$

$\sf\qquad\longrightarrow AB = 2(4cm)\\$

$\sf\qquad\longrightarrow \pink{ AB = 8cm }$

Hence the length of chord is 8cm .

8 0

3 years ago

Ariel wants to choose 5 players for her basketball team. There are 7 players to choose from. How many different teams can aerial

Natali [406]

The correct answer is:

A) 21

Explanation:

This is a combination of 7 objects taken 5 at a time:

$_nC_r=\frac{n!}{r!(n-r)!}$

In our case, n = 7 and r = 5:

$_7C_5=\frac{7!}{5!(7-5)!}=\frac{7!}{5!2!}
\\
\\=\frac{7\times 6\times 5\times 4\times 3\times 2\times 1}{5\times 4\times 3\times 2\times 1\times 2\times 1}
\\
\\=\frac{5040}{240} = 21$

3 0

4 years ago

73. Suppose that you want to buy a house that costs $175,000. You can make a 10% down payment, and 1.2% of the house’s value is

Irina-Kira [14]

Answer:

total monthly payment is $973.03

Step-by-step explanation:

given data

costs = $175,000

down payment = 10%

house value paid = 1.2%

to find out

monthly payment for a 30 year i.e 360 months

solution

we consider here rate of interest for 30 year is 4.25% so monthly interst rate will be $\frac{0.0425}{12}$ = 0.00375

so We have present value Ap = 0.9 ( 175000) = $157500

and the monthly escrow payment is

monthly escrow payment = $\frac{1}{12}$ × 0.012 × 175000

monthly escrow payment = $175

so monthly payment formula is

monthly payment = $\frac{Ap*r}{1-(1+r)^{-n}}$ ..................1

here r is rate and n is time period

so

monthly payment = $\frac{157500*0.00375}{1-(1+0.00375)^{-360}}$

monthly payment = 798.03

so the payment to the loan is $798.03 each month

and Then the total monthly payment is = $798.03 + $175

total monthly payment is $973.03

5 0

3 years ago

Which number has the same value as the digit 8 in the number 41.089???

SVETLANKA909090 [29]

The 8 would be in the hundredths place. I hope this helped. :) Brainliest answer? :)

8 0

4 years ago