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3 years ago

Okay, I'm gonna need to count and trust you for this on you for this. r u ready?

Mathematics

2 answers:

adoni [48]3 years ago

7 0

9514 1404 393

Answer:

C. 12 m wide

Step-by-step explanation:

We note that the difference in dimensions is 4 m. This difference will remain the same when both sides are increased by the same amount. If x represents the short side, then the larger area is ...

x(x +4) = 192

x^2 +4x + 4 = 196 . . . . add 4 to complete the square

(x +2)² = 14²

x = 14 -2 = 12 . . . . . . . . positive square root

The new garden will be 12 m wide.

svetlana [45]3 years ago

6 0

Answer:

Step-by-step explanation:

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tatyana61 [14]

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3 years ago

What would this equation be in vertex form? Show all steps please! :)<br> y2 + 16x - 4y = -20

Anna71 [15]

Answer:

Liquid R has a mass of of 1 kg at a temperature of 30°c kept in a refrigerator to freeze . Given the specific heat capacity is 300 J kg-¹ °c-1 and the freezing point is 4°c . Calculate the heat release by liquid R.

Step-by-step explanation:

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3 years ago

Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)l

vovikov84 [41]

Answer:

$y = \frac{1}{5}x +\frac{13}{5}$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,3)$

$(x_2,y_2) = (7,4)$

Required

Complete the equation y - 4.....

First, we need to determine the slope as follows:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{4 - 3}{7 - 2}$

$m = \frac{1}{5}$

The equation is then calculated as thus:

$y - y_1 = m(x - x_1)$

This gives:

$y - 4 = \frac{1}{5}(x -7)$

Open bracket

$y - 4 = \frac{1}{5}x -\frac{7}{5}$

Add 4 to both sides

$y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4$

$y = \frac{1}{5}x -\frac{7}{5} + 4$

$y = \frac{1}{5}x +\frac{-7+20}{5}$

$y = \frac{1}{5}x +\frac{13}{5}$

6 0

3 years ago

Which function represents the graph of h(x)=2|x+3|−1 after it is translated 2 units right?

harina [27]

$\bf ~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill\\\\ \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}$

$\bf ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}$

$\bf ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}$

now with that template in mind

$\bf h(x)=\stackrel{A}{2}|\stackrel{B}{1}x+\stackrel{C}{3}|\stackrel{D}{-1}\qquad \qquad \stackrel{\textit{C=C-2 a translation to the right}}{h(x)=2|x\boxed{+3-2}|-1} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill h(x)=2|x+1|-1~\hfill$

8 0

3 years ago

Read 2 more answers

If a ÷ b = 2 and b ÷ c =3/4, what is the value of c ÷ a? Express your answer as a common fraction.

lora16 [44]

Answer:

in the picture above.

Step-by-step explanation:

I hope that it's a correct answer.

7 0

3 years ago