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3 years ago

5. Ms. Gallegos burns 236 calories riding her bike each hour. She wants to burn more

Mathematics

1 answer:

Setler [38]3 years ago

5 0

Answer:

Step-by-stepc explanation:

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Find out for what value of the variable:

Burka [1]

Answer:

$a=-1,\ a=-5$

$x=-2+i,\ -2-i$

Step-by-step explanation:

<u>Equations</u>

We have two cases where some variable is required to be found such that some condition is met. The first case is about finding the value of a that complies:

$a^2+7a+6=a+1$

Rearranging

$a^2+6a+5=0$

Factoring:

$(a+1)(a+5)=0$

There are two solutions:

$a=-1,\ a=-5$

The second case requires us to find the value of x such that

$3x^2-x+1 =2x^2+5x-4$

Rearranging

$x^2+4x+5=0$

This second-degree equation has no real roots. We'll offer the imaginary (complex) solutions:

$x=-2+i,\ -2-i$

5 0

3 years ago

5/6+2 3/4 (it is a faction)

frosja888 [35]

Answer: the answer would be 3 7/12

Step-by-step explanation:

First you must find the common denominator(which is 12) and then add the fractions

4 0

3 years ago

NEED HELP . GIVING BRAINLIEST

andreev551 [17]

Answer:

There are 108 inches in 9 feet

Step-by-step explanation:

Well, two unit multipliers mean we have to convert through two units before we arrive at our final answer so we can convert from feet to yards to inches!

We know that 3 feet equal a yard, right?

So we can divide 9 by 3 to get the amount that 9 feet translates to in yards.

$9/3 = 3!$

So we are now done with our first conversion! Our second is going to be from yards to inches!

There are 36 inches in 1 yard so we should multiply 3 by 36 to get the amount in inches!

$3*36 = 108!$

4 0

3 years ago

Solve the systems of equations 6x+3y=9 2x+3y=1

patriot [66]

Solve by elimination.
The goal is to cancel out one of the variables in order to easily solve for the other variable.

Do this by changing the equations so that the coefficients of either x or y add up to 0.

Notice the coefficients of y are 3 and 3, if we make one of them negative then they add up to 0. 3+ (-3) = 0

Multiply 2nd equation by -1.

6x +3y = 9
-2x -3y = -1
__________
4x +0y = 8

Solve for x
4x = 8
x = 8/4 = 2

Plug x=2 back into one of original equations to find y.
---> 2(2) + 3y = 1
---> 4 + 3y = 1
---> 3y = -3
---> y = -1

Therefore solution is (2,-1)

7 0

3 years ago

Triangle P Q R is shown. The length of P Q is 17, the length of Q R is 15, and the length of P R is 14. Law of cosines: a2 = b2

Maksim231197 [3]

Answer:

P = 57°

Step-by-step explanation:

Given the following :

PQ = 17

QR = 15

PR = 14

Using the cosine formula since the length of the three sides are given:

a2 = b2 + c2 – 2bccos(A)

To find P:

QR^2 = PQ^2 + PR^2 – 2(PQ)(PR)cos(P)

15^2 = 17^2 + 14^2 – 2(17)(14)cos(P)

225 = 289 + 196 - 476 cosP

476*CosP = 485 - 225

476*CosP = 260

CosP = 260/476

CosP = 0.5462184

P = Cos^-1(0.5462184)

P = 56.892029

P = 57°

8 0

3 years ago