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Iteru [2.4K]
4 years ago
7

Simplify: ...............

Mathematics
1 answer:
Helga [31]4 years ago
5 0
The answer can be shown in both exact and decimal forms.

Exact form:
\sqrt{61 - 24}\sqrt{5}

Decimal form:
2.70820393...

I hope this helps!
Please Rate & Thank!
Please mark as Brainliest!

Have a wonderful day! : )
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what is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of 3/4?
Troyanec [42]
Y = mx + b
slope(m) = 3/4
(5,-4)...x = 5 and y = -4
now we sub
-4 = 3/4(5) + b
-4 = 15/4 + b
-4 - 15/4 = b
-16/4 - 15/4 = b
- 31/4 = b....or - 7 3/4 = b

so ur equation is : y = 3/4x + (-31/4) or y = 3/4x - 31/4
3 0
3 years ago
This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for pi.
Ghella [55]

The area of the given shape is 220.24 square cm.

Step-by-step explanation:

Step 1;

Area of given shape = Area of the rectangle + Area of the quarter circle.

The given rectangle measures a length of 17 cm and a width of 10 cm. The area of any given rectangle is the multiplication of its length and width. Area of the Rectangle = Length * Width = 17 cm * 10 cm = 170 square cm.

The area of any given circle is π times the square of the radius. The radius of this circle is equal to 8 cm.

Area of the circle = π × r² = 3.14 × 8 × 8 = 200.96 square cm.

200.96 square cm is the area of a full circle with a radius of 8 cm. We divide the area by 4 to convert it into a quarter-circle.

Area of the quarter circle = 200.96 square cm / 4 = 50.24 square cm.

So the quarter circle covers an area of 50.24 square cm.

Step 2;

Area of given shape = Area of the rectangle + Area of the quarter circle

Area of given shape = 170 + 50.24 = 220.24 square cm.

5 0
4 years ago
If x2 + y2 = 14 and xy = 5, find the value of (1/2 x + 1/2 y)2.
aleksley [76]

Answer:

(½x+½y)²=6

Step-by-step explanation:

x^2 + y^2 = 14, xy=5

(A+B)^2=A^2 +2AB+B^2... (*)

(1/2x+1/2y)^2 =(*)

(1/2x)^2 +2(1/2x)(1/2y)+(1/2y)^2 =

1/4x^2 +1/2xy+1/4y^2=

1/4(x^2 +y^2) +1/2(xy)=

1/4*14+1/2*5=

14/4+5/2=

14/4+10/4=

24/4=6

let me know if I'm wrong.

5 0
3 years ago
Read 2 more answers
You and six friends play a game where each person writes down his or her name on a scrap of paper, and the names are randomly di
Vanyuwa [196]
It would be 1/7 chance cause there are 7 people total but you have the 1 chance that you are going to get your own name
7 0
4 years ago
You noticed that $750 was stolen from your checking account using your debit card, but life being as busy as it is, you didn't r
Mekhanik [1.2K]

Answer:

The answer is: full liability for unauthorized debit charges

Explanation:

Once you discover that an amount of money was stolen from your debit card account, it is important to report it immediately to the card issuer. This will prevent "liability for unauthorized debit charges on your end." Each type of card that you avail has a set of rules when it comes to the <em>card owner's duties and liabilities. </em>

You have to tell your card issuer, either by<em> writing or by phone.</em> This should be done within 60 days from the time you encountered the issue. This will allow you to dispute any unauthorized charges. However, the sooner you report, the better it will be so you won't incur any liabilities.

So, in the case above, you didn't report the fraudulent activity until 75 days. This gives you a <u>"full liability for unauthorized debit charges."</u>

Thus, this explains the answer.

3 0
3 years ago
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