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3 years ago

15 points plz help

1 answer:

7 0

Expand the brackets: x²+5x+6=kx+2. So x²+(5-k)x=-4.
To complete the square on the left we add ((5-k)/2)² to each side:
(x+(5-k)/2)²=((5-k)/2)²-4.
Take a look at the right hand side: when this is zero we have equal roots:
((5-k)/2)²=4, (5-k)/2=±2, 5-k=±4, k=5∓4, giving us k=1 or 9.
(5-k)/2 is 2 or -2. So if k=9, (x-2)²=0. And x=2 is the positive root.

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What is the measure of x in degrees ?

mr Goodwill [35]

Answer:

x = 35°

Step-by-step explanation:

Same side interior angles are supplementary, or they add up to 180°. So write an equation:

$x+145=180$

Solve for x. Subtract 145 from both sides:

$x+145-145=180-145\\\\x=35$

The value of x is 35°.

:Done

8 0

3 years ago

The quotient of 56 and n is multiplied by 3.

Nutka1998 [239]

Answer:

Equivalent expression using n to represent the unknown number is: $\mathbf{(\frac{56}{n})\times 3\\}$

Step-by-step explanation:

The quotient of 56 and n is multiplied by 3.

Create an equivalent expression using n to represent the unknown number.

We need to write equivalent expression of The quotient of 56 and n is multiplied by 3.

We will do this step by step

First we will find:

The quotient of 56 and n

It can be written in mathematical form is: $\frac{56}{n}\\$

Now, we will find

The quotient of 56 and n is multiplied by 3.

It can be written in mathematical form as: $(\frac{56}{n})\times 3\\$

So, equivalent expression using n to represent the unknown number is: $\mathbf{(\frac{56}{n})\times 3\\}$

5 0

3 years ago

ALGEBRA 1, SEMESTER 2- please help, im failing my class already

Maru [420]

Velocity is given as 80 feet per second, so replace V with 80.

The rocket is launched from the ground so the initial height is 0, so replace h with 0

The formula now becomes" h(t) = -16t^2 + 80t +0

To find the maximum we need to find the coordinates of the vertex by finding the axis of symmetry:

-b/2a = -80/(2*-16) = -80/-32 = 2.5

This represents the amount of time for the rocket to reach maximum height.

So we now replace t in the equation with 2.5 and solve for the height:

h(2.5) = -16(2.5)^2 + 80(2.5)

h(2.5) = 100

The maximum height is 100 feet

4 0

3 years ago

You must select a team from a group of 6 boys and 10 girls. How many ways can you select 2 boys and 5 girls?

Keith_Richards [23]

Using the combination formula, it is found that you can select 2 boys and 5 girls in 2,520 ways.

In this problem, Joao and Elisa would be the same team as Elisa and Joao, hence the order is not important and the <em>combination formula</em> is used to solve this question.

<h3>What is the combination formula?</h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by: