The diameter of a circle measures 17 mm. What is the measure of its radius ?

Find the inverse function for f(x)=square root 2x-6

ehidna [41]

The roots are-4 and 7y=x² - 3x - 28<span>The roots are
-9 and 2</span>x² = 18 - 7xThe roots are-4,and 2y = x² + 2x -8The roots are-8 and 10x² - 2x - 6 = 74<span>The roots are
-15 and-1</span>x² + 15 = - 16xThe roots are-5 and 9y=x² - 4x - 45<span>The roots are
4 and 14</span>x² - x + 56 = 17x<span>The roots are
2 and 27</span>x² - 29x = - 54

7 0

3 years ago

Since stores will calculate the total price of your purchase for yo, why is it important to be able to calculate discounts yours

denpristay [2]

Answer:

So you don't overspend.

Step-by-step explanation:

Lets say you bring $10 and everything at the store is half off the price is half of its original (huge savings) and you buy a toy that was $12 and now its $6, if you calculate your own saving you know you have $4 left to spend.

Hope this helps!

7 0

3 years ago

Read 2 more answers

Use Theorem 2.1.1 to verify the logical equivalence. Give a reason for each step. -(pv –q) v(-p^q) = ~p

sertanlavr [38]

Answer:

The statement $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q)$ is equivalent to $\lnot p$ , $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p$

Step-by-step explanation:

We need to prove that the following statement $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q)$ is equivalent to $\lnot p$ with the use of Theorem 2.1.1.

So

$\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv$

$\equiv (\lnot p \land \lnot(\lnot q))\lor(\lnot p \land \lnot q)$ by De Morgan's law.

$\equiv (\lnot p \land q)\lor(\lnot p \land \lnot q)$ by the Double negative law

$\equiv \lnot p \land (q \lor \lnot q)$ by the Distributive law

$\equiv \lnot p \land t$ by the Negation law

$\equiv \lnot p$ by Universal bound law

Therefore $\lnot(p\lor\lnot q)\lor(\lnot p \land \lnot q) \equiv \lnot p$

4 0

3 years ago

Find the total surface area of a square based prism (cuboid) of height 4cm, given that the side length of its base is 6cm.

scoray [572]

Total surface area of the square pyramid is 1476 cm².

Step-by-step explanation:

Step 1:

Total surface area of a pyramid = 12pl + B. Here p is perimeter of the base which is a square = 4 × side, l is the slant height and B is the area of the base = side²

Step 2:

Find perimeter of the base

⇒ p = 4 × side = 4 × 6 = 24 cm

Step 3:

Find the slant height of the prism. l² = height² + (side/2)² (Based on Pythagoras Theorem)

⇒ l² = 4² + (6/2)² = 16 + 9 = 25

⇒ l = √25 = 5 cm

Step 4:

Find the area of the base of the pyramid.

⇒ B = side² = 6² = 36 cm²

Step 5:

Calculate total surface area of the pyramid.

⇒ TSA = 12 × 24 × 5 + 36 = 1440 + 36 = 1476 cm²

6 0

3 years ago

Hi if you can give me a clear explanation that would be great! :)

eimsori [14]

The distance of point a from translated b is 9.2 units and the distance of point b from translated b is 3.6 units

A line is the distance between two points.

Analysis:

point a( -3,1) point b(2, -6) point translated b(-1, -8)

Distance ab = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }$

Distance ab = $\sqrt{(-1--3)^{2} + (-8-1)^{2} }$ = 9.21 units

Distance btb = $\sqrt{(-1-2)^{2} + (-8- -6)^{2} }$ = 3.6 units

In conclusion, the distance of b from a is 9.2 units and b from b is 3.6 units.

Learn more about distance between two points: brainly.com/question/7243416

#SPJ1

8 0

2 years ago