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Karo-lina-s [1.5K]
3 years ago
10

Please please hurry ! What is the length of side X?

Mathematics
2 answers:
grigory [225]3 years ago
6 0

Answer:

11

Step-by-step explanation:

They are proportional, so since side RS is 3 and MN is 6, we know that Triangle MNO is twice that size, so all of the side lengths will be twice that size. So ST being 5.5 means that the same side in Triangle MNO will be twice that amount, and 5.5 * 2 = 11.

dem82 [27]3 years ago
3 0

Answer:

its eleven

Step-by-step explanation:

it just is....

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Which graph represents the solution set of the system of inequalities? {x+y<12 y≥x−4
RSB [31]

Answer: The graph in the bottom right-hand corner

(see figure 4 in the attached images below)

===========================================

Explanation:

Let's start off by graphing x+y < 1. The boundary equation is x+y = 1 since we simply change the inequality sign to an equal sign. Solve for y to get x+y = 1 turning into y = -x+1. This line goes through (0,1) and (1,0). The boundary line is a dashed line due to the fact that there is no "or equal to" in the original inequality sign. So x+y < 1 turns into y < -x+1 and we shade below the dashed line. The "less than" means "shade below" when y is fully isolated like this. See figure 1 in the attached images below.

Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

5 0
2 years ago
Read 2 more answers
Using the Completing the Square method, what are the zeros of the quadratic function f(x) = 2x2 + 8x - 3?
Ipatiy [6.2K]

Answer:

A.

Step-by-step explanation:

1) to rewrite the given equation:

f(x)=2(x²+4x)-3; ⇔ f(x)=2(x²+4x+4)-3-8; ⇔ f(x)=2(x²+4x+4)-11; ⇔ f(x)=2(x+2)²-11;

2) the roots are:

\left[\begin{array}{ccc}x=-\sqrt{\frac{11}{2}}-2 \\x=\sqrt{\frac{11}{2}}-2 \end{array}

3) finally, the correct answer is A.

4 0
1 year ago
1) WET SURPRISE A water balloon is launched off of a patio. The path of the water
mart [117]

The function of the water balloon is an illustration of a quadratic function.

The balloon will splat on the ground after 2.5 seconds

The function is given as:

h(t) = -6t^2 + 13t + 5

When the balloon splats on the ground, the value of h(t) is 0.

So, we have:

-6t^2 + 13t + 5 = 0

Expand the expression

-6t^2 + 15t- 2t + 5 = 0

Factorize the above expression

-3t(2t - 5)- 1(2t - 5 )= 0

Factor out 2t - 5 in the 2t - 5

(-3t - 1)(2t - 5 )= 0

Split the equation into 2

-3t - 1 = 0\ or\ 2t - 5= 0

Rewrite as:

-3t = 1\ or\ 2t = 5

Solve for t

t = -\frac 13\ or\ t = \frac 52

The value of t cannot be less than 0 i.e. negative.

So, we have

t = \frac 52

Divide 5 by 2

t = 2.5

Hence, the balloon will splat on the ground after 2.5 seconds

Read more about quadratic functions at:

brainly.com/question/11631534

6 0
2 years ago
Abby buys 4 pencils and 2 erasers for 3.58. Michael buys 1 pencil and 6 erasers for 2.49. What is the cost of 1 pencil and 1 era
Dimas [21]

Answer:

pencils= .75 erasers= .29¢

Step-by-step explanation:

7 0
3 years ago
What is the probability of rolling a prime number of a standard 20 sided die? (1 is not a prime number)
satela [25.4K]

Answer:

2/5.

Step-by-step explanation:

The prime numbers from 1 to 20 are 2, 3, 5, 7, 11, 13, 17 and 19.

A total of 8.

So the probability of rolling a prime number is 8/20

= 2/5.

3 0
3 years ago
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