Solución por favor ayuda

Answers

Answer 1

Answer: The vertex is (4, -2) and the graph goes down.

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Prove that

(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan A = $(sinA)/(cosA)$ , cot A = $(cosA)/(sinA)$

Consider the left side

(1 + cotA + tanA)(sinA - cosA)

each term in the second factor is multiplied by each term in the first factor.

1(sinA - cosA) + cotA(sinA - cosA) + tanA(sinA - cosA)

= sinA - cosA + cosA - $(cos^2A)/(sinA)$ + $(sin^2A)/(cosA)$ - sinA ( collect like terms )

= $(sin^2A)/(cosA)$ - $(cos^2A)/(sinA)$

= ( sinA × $(sinA)/(cosA)$ ) - ( $(cosA)/(sinA)$ × cosA )

= sinAtanA - cotAcosA

= right side ⇒ proven

True or false: You can represent the following situation with a division expression.Joshua has three cats. Over a week they eat a total of 14 pounds of food. On average how much food does each cat eat in a week?

True

False

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

To represent the situation, you would have to do 14÷3 because there are 3 cats that eat 14 pounds of food in a week and to figure out how much a cat eats in a week, you would have to divide.

What is the product of 713 and 82

Answers

713*82=58,466
Thats all :)

Divide and express the result in standard form. 8/7-i

Answers

$i=√(-1)\to i^2=-1\ (i-the\ imaginary\ unit)\n----------------------\n\n(8)/(7-i)\n\nuse\ (a-b)(a+b)=a^2-b^2\n\n(8)/(7-i)\cdot(7+i)/(7+i)=(56+8i)/(7^2-i^2)=(56+8i)/(49-(-1))=(56+8i)/(49+1)=(56+8i)/(50)=(56)/(50)+(8)/(50)i\n\n=\boxed{(28)/(25)+(4)/(25)i}$

assuming the problem is 8/(7-i) you would multiply the fraction by (7+i)/(7+i)
This would then simplify to 8(7+i)/50 which can be simplified down to 4(7+i)/25

How to multiply 16y-5(2y+3)

Answers

You use the Distributive Property to multiply 5 to 2y and 3 and simplify the equation. You should get the answer of 6y + 15

mike has 350.75 while jane has 250.25 .if they spent together a total amout of 295.50 and saved remaining amount how much they put together in the saving box?

Answers

Answer:

305.5

Step-by-step explanation:

350.75 + 250.25 = 601

601 - 295.50 = 305.50

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Nina has 465 pennies in a jar. Daryl has 348 pennies in a jar. How many pennies do they have in all?