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son4ous [18]
3 years ago
5

If triangle ABC is similar to triangle PQR, find the value of x and y.

Mathematics
1 answer:
tester [92]3 years ago
6 0

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}

\frac{6}{x}= \frac{4}{y}= \frac{8}{12}

\frac{6}{x}= \frac{8}{12}

x = \frac{12\times 6}{8}

x = 9

Similarly, \frac{4}{y}= \frac{8}{12}

y = \frac{12\times 4}{8}

y = 6

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What is the value of x<br> 12(x-2)+3x=2(x+6)+3
RSB [31]

Answer:X = 3

Step-by-step explanation:

6 0
3 years ago
What is the equation of the following graph in vertex form? parabolic function going down from the left through the point negati
Anestetic [448]
A parabolic function's key characteristic is either having 2 x-intercepts or 2 y-intercepts. That is the reason why the standard form of parabolic functions are:

(x-h)^2 = +/- 4a(y-k) or (y-k)^2 = +/- 4a(x-h), where

(h,k) is the coordinates of the vertex
4a is the lactus rectum
a is the distance from the focus to the vertex

This is also called vertex form because the vertex (h,k) is grouped according to their variable.
 
Since we don't know any of those parameters, we'll just have to graph the data points given as shown in the picture. From this data alone, we can see that the parabola has two x-intercepts, x=-4 and x=-2. Since it has 2 roots, the parabola is a quadratic equation. Its equation should be

y = (x+4)(x+2)
Expanding the right side
y = x²+4x+2x+8
y = x²+6x+8
Rearrange the equation such that all x terms are on one side of the equation
x²+6x+___=y-8+___
The blank is designated for the missing terms to complete the square. Through completing the squares method, you can express the left side of the equation into (x-h)² form. This is done by taking the middle term, dividing it by two, and squaring it. So, (6/2)²=9. Therefore, you put 9 to the 2 blanks. The equation is unchanged because you add 9 to both sides of the equation.

The final equation is 
x²+6x+9=y-8+9
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6 0
3 years ago
Please help me It’ll help a lot
Digiron [165]

Answer:

heyy

the answers "20"

Step-by-step explanation:

Okay using the x that we have we find 40 and plug that into the graph and we have 20 :p

7 0
3 years ago
Please help me and others that will stumble on this problem.
lutik1710 [3]

Answer:

A (0,0)

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When a function intersects the y-axis then the point of intersection is called y-intercept of the function,

Also, for y-intercept x = 0.

That is, if f(x) is the function then its y-intercept is (0, f(0) )

By the given table for x = 0, f(x) = 0

Hence, the y-intercept of the given function is (0,0),

Option A is correct.

5 0
2 years ago
MARKING BRAINLIEST!
Irina-Kira [14]

Answer: Felix has a job that pays 100 dollars an hour,  If he makes 2500 dollars a week how many hours does he work each day.

100x = 2500

hope this helps mark me brainliest please

6 0
3 years ago
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