(–x2 + 9) + (–3x2 – 11x + 4)=

Answers

Answer 1

Answer: -4x 2-11+13 is the answer of the equation

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Y=1/3x2+2x-3
Please sketch graph of the equation or inequality and show work

Answers

$y= (1)/(3)x^2+2x-3\n \nx=-9 \Rightarrow y=(1)/(3) \cdot (-9)^2+2 \cdot (-9)-3=(1)/(3) \cdot 81-18-3=27-21=6 \n \nx=-6 \Rightarrow y=(1)/(3) \cdot (-6)^2+2 \cdot (-6)-3=(1)/(3) \cdot 36-12-3=12-15=-3\n \nx=-3 \Rightarrow y=(1)/(3) \cdot (-3)^2+2 \cdot (-3)-3=(1)/(3) \cdot 9-6-3=9-9=0$

$x=0\Rightarrow y=(1)/(3) \cdot (0)^2+2 \cdot (0)-3=(1)/(3) \cdot 0-0-3=0-3=-3\n\nx=3\Rightarrow y=(1)/(3) \cdot 3 ^2+2 \cdot 3-3=(1)/(3) \cdot 9+6-3=3+3=6$

Factor completely 2x2 + 28x + 96.

Answers

Hi Kiara

2x²+28x+96

First thing you need to find the common factor

So the common factor is 2

2(x+6)(x+8)

I hope that's help:0

Why 2 is the common factor ?

Because we were looking for a number that can divide all of them at the same time without decimal, so that's why :)

Factor completely
2x^2 + 28x + 96
= 2(x^2 + 14x + 48)
= 2(x + a)(x + b)

find a,b that a+b=14, ab=48
let's try
a, b ... a+b
2,14 ... 18
4,12 ... 16
6,8 ... 14 *** found

2x^2 + 28x + 96 = 2(x + 6)(x + 8)

The lengths of the sides of a quadrilateral are 4 consecutive even integers. The perimeter of the quadrilateral is 36 inches. What is the length of the longest side?\WILL GIVE BRAINLIEST
NEED THIS ASAP

Answers

Answer:

The length of the longest side is 9 inches

Step-by-step explanation:

The given parameters for the quadrilateral is that the length of the sides are;

The length of the sides are consecutive integers = x, x + 2, x + 4, x + 6

The perimeter of the rectangle = 36 inches

The side length to be found = The length of the longest side = x + 3

2 6 10 14 18

∴ x + x + 2 + x + 4 + x + 6 = 36

4·x + 12 = 36

4·x = 36 - 12 = 24

4·x = 24

x = 24/4 = 6

x = 6 inches

The length of the longest side = x + 3 = 6 + 3 = 9

The length of the longest side = 9 inches.

Answer:

The length of the longest side is 9 inches

Step-by-step explanation:

The given parameters for the quadrilateral is that the length of the sides are;

The length of the sides are consecutive integers = x, x + 2, x + 4, x + 6

The perimeter of the rectangle = 36 inches

The side length to be found = The length of the longest side = x + 3

2 6 10 14 18

∴ x + x + 2 + x + 4 + x + 6 = 36

4·x + 12 = 36

4·x = 36 - 12 = 24

4·x = 24

x = 24/4 = 6

x = 6 inches

The length of the longest side = x + 3 = 6 + 3 = 9

The length of the longest side = 9 inches.

credit to oeerivona brainly.com/app/profile/18148767

How many solutions does the following equation have?|6x + 12| = −18

No solution

One solution

Two solutions

Infinitely many solutions

Answers

Hello,

|x|>0 !!!! ==>0 solution

A quarterback is standing in the middle of the field 60 yards from his goal line. He passes the ball to a player 12 yards to his left on the 55 yard line. How long was the pass?

Answers

so for this you would have to use the pythagorean theorem which is α²+b²=c². The 12 yards would be a and the distance between the 60 yard line and 50 yard line which is 5 would be b and you would be trying to find out what c is.

a²+b²=c²
12²+5²=c²
144+25=c²
169=c²
now you want to get c alone and in order to do that we would square root it and i'm sure you have learned that what you do on one side you have to do to the other so we would also square root 169
√169=√c²

13=c

the pass was 13 yards

hope i helped :)

Final answer:

Using the Pythagorean theorem on the given conditions, the length of the quarterback's pass was calculated to be 13 yards.

Explanation:

The subject of this question falls under Mathematics, specifically in the topic of the Pythagorean Theorem. To solve this problem, we should recognize it as a right triangle problem. The quarterback is at one point, the goal line forms the base, and the player is at the third point. We can then use the Pythagorean Theorem (a^2 + b^2 = c^2), where c is the hypotenuse, or the path of the football.

In this case, the difference in yard lines (60 - 55 = 5 yards) and the distance to the left (12 yards) form the two other sides of the triangle. We then calculate the pass length using the formula, √((5^2) + (12^2)). The square root of (25 + 144) equals the square root of 169, which gives the answer 13 yards. Therefore, the length of the pass was 13 yards.