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DedPeter [7]
3 years ago
14

Plz help asap... Explain as much as possible to me plz

Mathematics
1 answer:
Solnce55 [7]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Since the 2 figures are similar then the ratios of corresponding sides are equal, that is

\frac{8}{x} = \frac{18}{6} ( cross- multiply )

18x = 48 ( divide both sides by 18 )

x = \frac{48}{18} = \frac{8}{3} = 2 \frac{2}{3}

Similarly

\frac{5}{y} = \frac{18}{6} ( cross- multiply )

18y = 30 ( divide both sides by 18 )

y = \frac{30}{18} = \frac{5}{3} = 1 \frac{2}{3}

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Can someone tell me what the answer for this problem is? (and how you are able to get that answer)
exis [7]
\bf y=\cfrac{1}{2}(x-7)(x-7)

now, if you set y  to 0, so you can solve for "x", you'll notice, you'll get 7 twice, you can see it from (x-7) twice there, it has that root twice.

so, when x = 7, y = 0, that's the x-intercept, or so-called a solution or zeros.

now, it happens twice though, so, that simply means, the root of 7 has a multiplicity of 2  and is an even multiplicity, and even number, and when that happens, the graph doesn't really cross the x-axis, it simply bounces off of it.

so the graph goes down down, gets to 7, bounces back up, well, it made a U-turn, that's the vertex, at 7,0 as well.

to find the y-intercept, simply set x = 0, let's do so

\bf y=\cfrac{1}{2}(x-7)(x-7)\implies y=\cfrac{1}{2}(0-7)(0-7)\implies y=\cfrac{1}{2}(-7)(-7)
\\\\\\
y=\cfrac{49}{2}\implies y=24.5

so is at 0, 24.5

the stretch will be the coefficient in front of the function, in this case is 1/2, is stretches in relation to the y-axis by twice as much.
7 0
4 years ago
What is the equation of a line that has a slope of 2 and passes through the point (4,6) ?
natka813 [3]

Answer:

y-6=2\,(x-4)

or in slope y-intercept form :

y=2x-2

Step-by-step explanation:

The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point   (x_0,y_0)  it goes through:

y-y_0=m\,(x-x_0)

In our case the equation becomes:

y-y_0=m\,(x-x_0)\\y-6=2\,(x-4)\\

This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:

y-6=2\,(x-4)\\y=2x-8+6\\y=2x-2

7 0
3 years ago
In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the gr
OleMash [197]
So essentially, this is a cubic function where T(x) = y, and:
y =  {(x+5)}^{3} +7
In order to find the vertices, aka "turning points", we need to see around what area the graph will curve quickly from bottom-left to top-right. If the value being cubed (in the parentheses) is around -8, y will be close to 0, since -8+7=-1. (-2)^3 = -8. So x+5=-2, x=-7.
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At x=-5, y = 0+7 = 7
Above x=-4, the y jumps rapidly above 10, and below x=-9, the y jumps rapidly below -50
What does all that mean???
That between x = -9 and x = -4 (x = -4,-5,-6,-7,-8,-9), the temperature (T(x) or y) does not change very much. Therefore, around those temperatures is a turning point, where the phase shift occurs from solid/liquid.
4 0
3 years ago
If the area of a triangular garden is 156 sq ft, and the base of this garden is 13 feet wide, what is the height?
Ilia_Sergeevich [38]

Answer:

height is =area  dived by base

Step-by-step explanation:

156 divide 13 is 12

so the answer of height is 12.......hope u understand dear

5 0
3 years ago
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Margarita [4]

Answer:

3/4 or 0.75

Step-by-step explanation:

4 0
3 years ago
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