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3 years ago

Determine the diameter

Mathematics

1 answer:

DENIUS [597]3 years ago

7 0

Answer:

2.75 cm

Step-by-step explanation:

You can multiply the diameter by the scale factor to find the size of the diameter on a scale diagram.

55 * 0.05 = 2.75 cm

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Help please, I attached the question. Is it a!?

AVprozaik [17]

Answer:

Step-by-step explanation:

Recall that for a quadratic equation of the form:

$0=ax^2+bx+c$

The number of solutions it has can be determined using its discriminant:

$\Delta = b^2-4ac$

Where:

If the discriminant is positive, we have two real solutions.
If the discriminant is negative, we have no real solutions.
And if the discriminant is zero, we have exactly one solution.

We have the equation:

$2x^2+5x-k=0$

Thus, a = 2, b = 5, and c = -k.

In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

$b^2-4ac=0$

Substitute:

$(5)^2-4(2)(-k)=0$

Solve for k. Simplify:

$25+8k=0$

Solve:

$\displaystyle k = -\frac{25}{8}$

Thus, our answer is indeed A.

3 0

3 years ago

Read 2 more answers

Which is an equation of the parabola that intersects the x-axis at points (-1, 0) and (3, 0)? Show your work or explain how you

hichkok12 [17]

Answer:

$\displaystyle \large{y=x^2-2x-3}$

Step-by-step explanation:

The given points are (-1,0) and (3,0) to find an equation of parabola. Notice that they say or the given points are x-intercepts, which means they make it easier for us to find an equation of parabola using these x-intercepts.

Quick Note:

x-intercepts are simply the roots or solutions of quadratic equation, so if our root is x = -2 then we can write as (-2,0) and write back to x+2=0.

So what we are going to do is to write the roots’ equation back as $\displaystyle \large{x+\alpha =0}$

Our points or roots are given, therefore:

If x = -1 then x+1=0

If x = 3 then x-3=0

Then multiply x+1 with x-3 because if (x-1)(x+3)=0 then x-1=0 or x+3=0:

$\displaystyle \large{(x+1)(x-3)=0}$

Convert 0 to y since we want to find a function:

$\displaystyle \large{(x+1)(x-3)=y}\\\displaystyle \large{y=(x+1)(x-3)}$

Expand the expressions in and simplify to standard form:

$\displaystyle \large{y=x^2-3x+x-3}\\\displaystyle \large{y=x^2-2x-3}$

Therefore, the equation is $\displaystyle \large{y=x^2-2x-3}$

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Summary

If we are given the points $\displaystyle \large{(\alpha ,0)}$ and $\displaystyle \large{(\beta ,0)}$ with wideness of the graph or a-value = 1 then the parabola equation is:

$\displaystyle \large{y=(x-\alpha )(x-\beta )}\\\displaystyle \large{y=x^2-\beta x-\alpha x+\alpha \beta }\\\displaystyle \large{y=x^2-(\beta +\alpha )x+\alpha \beta }$

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Others

If you have any doubts about my answer, explanation or this question, do not hesitate to let me know in the comment!

3 0

3 years ago

a local newspaper assigns a rating between 1 and 10 to every book and movie it reviews. Victor gathered data about five titles w

Nookie1986 [14]

The points that represent this data are shown in the image attached below.

<h3>What is a scatter plot?</h3>

A scatter plot is a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

Based on the information provided in table above, the points that represent this data are shown in the image attached below.

Read more on scatterplot here: brainly.com/question/6592115

#SPJ1

3 0

2 years ago

Question 6 of 40

chubhunter [2.5K]

Step-by-step explanation:

I cannot really identify and read the provided answer options.

the solution to the sequence 2, 6, 10, 14, 18, ... is

an = 4×(n-1) + 2

recursive that is

a1 = 2

an = an-1 + 4

please pick the right option in your original problem definition that fits to this solution.

5 0

3 years ago

WILL GIVE BRAINLIEST

user100 [1]

I'm pretty sure the answer is SAS because it gives you one angle and the rest are sides

4 0

4 years ago

Read 2 more answers