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3 years ago

12

Solve this for the points, Given the Quadratic Function

ormula1" title="f(x)=(x-1)^2+3" alt="f(x)=(x-1)^2+3" align="absmiddle" class="latex-formula"> $(a\leq x\leq a+2)$ Find the maximum value and minimum value.

1 answer:

Liono4ka [1.6K]3 years ago

7 0

Answer:

max=4

min=7

Step-by-step explanation:

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Determine the slope (8grade

LUCKY_DIMON [66]

Answer:

-2.5

Step-by-step explanation:

The slope is the rate.

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4 years ago

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PLEASE HELP ASAP!!!!! Leo drew a line that is perpendicular to the line shown on the grid and passes through point (F, G). Which

aliya0001 [1]

Answer:

y -G = -1/3 ( x- F)

Step-by-step explanation:

The line on the plane has a slope

m = (y2-y1) /(x2-x1)

(0,-2) and (1,1)

= (1- -2)/( 1-0)

= (1+2)/(1-0)

= 3/1

Perpendicular lines have slopes that multiply to -1

m * 3 = -1

Divide by 3

m = -1/3

The perpendicular line has a slope of -1

The point slope equation is

y - y1 = m(x-x1)

y -G = -1/3 ( x- F)

7 0

4 years ago

Will mark brainliest! Questions are in the picture!

alexdok [17]

Answer:

52.9 inches .

Step-by-step explanation:

Given that the triangular indentation has an area of 100 in.² and the base and height of this traingle are represented by expressions 3x and x+3 respectively . We need to find out the <u>perimeter </u>to the nearest tenth.

As we know that the area of triangle is ,

$\rm\longrightarrow Area_{\triangle}=\dfrac{1}{2}(base)(height)$

Substituting the respective values,

$\rm\longrightarrow 100\ =\dfrac{1}{2}(x+3)(3x)\\\\\rm\longrightarrow 2(100) = 3x(x+3)\\\\\rm\longrightarrow200 = 3x^2+9x\\\\\rm\longrightarrow 3x^2+9x-200=0$

On using the <u>Quadratic</u><u> formula</u> , we have;

$\rm\longrightarrow x =\dfrac{-9\pm\sqrt{9^2-4(3)(-200)}}{2(3)} \\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{81+1200}}{6}\\\\\rm\longrightarrow x =\dfrac{-9\pm \sqrt{1281}}{6}$

On simplifying above , we will get ,

$\rm\longrightarrow x = 6.802,-9.802$

Since sides can't be negative, therefore,

$\rm\longrightarrow\underline{\underline{ x =6.802}}$

Therefore ,

$\rm\longrightarrow Base = 3x =3(6.802)in = 20.406\ in\\$
$\rm\longrightarrow Height = x +3=6.802+3=9.802\ in$

Next let's find out the <u>hypotenuse </u>using Pythagoras theorem, as ;

$\rm\longrightarrow h=\sqrt{ b^2+p^2}\\$

$\rm\longrightarrow h =\sqrt{ (20.406)^2+(9.802)^2}\\$

$\rm\longrightarrow h =\sqrt{416.40+96.07}\\$

$\rm\longrightarrow h = 22.63\ in$

Now we may find perimeter as ,

$\rm\longrightarrow P = p + b + h \\$

$\rm\longrightarrow P = (22.63 + 9.802 + 20.406)in.$

$\\\rm\longrightarrow P = 52.89 \ in.\\$

$\rm\longrightarrow \underline{\underline{ Perimeter = 52.9\ in .}}$

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3 years ago

The opposite of a number is less than 12

barxatty [35]

-12 might be the answer

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3 years ago

A grocery store has 330 cans of soda if there are 10 cans of soda in a box how many boxes of soda does the grocery store have

Stella [2.4K]

33

Every box has ten cans of soda, so you need to know what number, that when multiplied by 10 gives you 330. 330 divided by 10 is 33.

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3 years ago

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