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3 years ago

Solve ( x− 4)^2 = 9.

Mathematics

2 answers:

Marysya12 [62]3 years ago

8 0

Answer:

= 7

Step-by-step explanation:

IgorC [24]3 years ago

5 0

Answer:

x= 7, 1

Step-by-step explanation:

Take the root of both sides and solve.

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I will mark the Brainiest!!

lukranit [14]

1st pic

answer
D. Yes. triangle JKL similar to triangle STV. SF is 6

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2nd pic
answer is A.
No because length of corresponding sides are not proportional

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3rd pic

34/17 = 12
so
x = 30/2 = 15
y = 16/2 = 8

answer
x = 15
y = 8

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4th pic

28/14 = 2
so
x = 42/2 = 21
y = 56/2 = 28
z = 42/2 = 21

answer

x = 21
y = 28
z = 21

6 0

3 years ago

How would I graph a linear equation?

Tom [10]

You can write it in different forms. For instance, you could use point slope, slope intercept form or standard form. These all have different formulas, but you have to input different pieces of information such as: a point, slope or a y intercept. It all depend on what information is given to you and how you use it.

3 0

3 years ago

Rewrite 1,000,000 as a power of ten

jek_recluse [69]

10 to the power of 6, I believe.

4 0

4 years ago

Read 2 more answers

A jar contains 7 blue cubes, 4 blue spheres, 5 green cubes, and 6 green spheres. If you select an object at random, what is the

tia_tia [17]

The answer is A. 23/22.

The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens (there is OR in a sentence), you will use the addition rule. So, let's just add the probability that the object is green and the probability that the object is a cube.
There are in total 22 objects:
<span>7 blue cubes + 4 blue spheres + 5 green cubes + 6 green spheres = 22 objects.
</span>The probability that the object is green is 11/22 (because there are 11 objects
that are green (5 cubes and 6 spheres) of in total 22 objects).
The probability that the object is a cube is 12/22 (because there are 12 objects that are a cube (7 blue and 5 green) of in total 22 objects).

Thus, the probability that the object is green or a cube is:
$\frac{11}{12} + \frac{12}{12} = \frac{11+12}{12} = \frac{23}{12}$

8 0

3 years ago

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