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kap26 [50]
3 years ago
9

Find the x intercept. (Using the equation is more accurate, but I included a graph for reference)

Mathematics
1 answer:
MariettaO [177]3 years ago
4 0
For the X intercept you set y = 0 and solve for x

Y = - \frac{8}{3}x + 9
0= - \frac{8}{3}x + 9 subtract 9 from both sides
-9 = -\frac{8}{3} x divide both sides by 3
-3 = -8x  divide both sides by -8
\frac{3}{8} = x

X-intercept = (\frac{3}{8}, 0)
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My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.
Verdich [7]

By knowing that S is bisected by the line shown, we will conclude that PD = 8

So here we know that PC = 8, we also can see that:

  • PCS is a right triangle
  • PDS is a right triangle.

Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.

Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.

And notice that both of these triangles share one side, then:

Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.

This implies that the triangles are congruent, thus, the <u>measures of the corresponding sides must be the same.</u>

<u />

Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.

So you are correct.

If you want to learn more about congruent triangles, you can read:

brainly.com/question/12077512

8 0
2 years ago
13. Writing in Math Write three different improper fractions that equal 4 2/3
nikklg [1K]
14/3 28/6 42/9 all these fractions are improper and equivalent to 4 2/3 when simplified
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How could you use the Pythagorean Theorem in life
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0.193 ? 0.65<br>A. &lt;<br>B. =<br>C. &gt;​
Leviafan [203]

Answer:

A

Step-by-step explanation:

The answer is A, reason why is because if you add a 0 to the end of the number 0.65, the problem would then say; 0.193 < 0.650. So, if you take off the 0. on the front of both decimals it would then say 193 < 650 and 650 is greater than 193.

4 0
3 years ago
It is known that a certain function is an inverse proportion. Find the formula for this function if it is known that the functio
katrin2010 [14]

Answer:

y=\frac{24}{x}

Step-by-step explanation:

We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.  

We know that two inversely proportional quantities are in form y=\frac{k}{x}, where y is inversely proportional to x and k is constant of variation.

Upon substituting y=12 and x=2 in above equation, we will get:

12=\frac{k}{2}

Let us solve for constant of variation.

12\cdot 2=\frac{k}{2}\cdot 2

24=k

Now, we will substitute k=12 in inversely proportion equation as:

y=\frac{24}{x}

Therefore, the formula for the given scenario would be y=\frac{24}{x}.

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3 years ago
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