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3 years ago

7

Will mark brainliest to best answer!

1 answer:

dsp733 years ago

3 0

Step-by-step explanation:

x is the independent variable

y is the dependent variable

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Alexa is designing a paper airplane whose final shape, when viewed from the top or bottom, is a trapezoid. A sketch of her

Eduardwww [97]

Answer:

2cm, 3 cm, 3cm

Step-by-step explanation:

the base is 2cm and its 3cm high

ps. if i dont get this right than dont send hate just say no thats not it

6 0

3 years ago

Write 77.5% as a fraction or mixed number in simplest form.

Delicious77 [7]

Answer:

The answer is $77\frac{1}{2}$ .

Step-by-step explanation:

Given:

77.5%.

Now, to write as a fraction or mixed number in simplest form.

77.5%

So, we divide by 10 by removing decimal as decimal is at tenth place.

= $\frac{775}{10}$

So, simplifying it:

$=\frac{155}{2}$

Now, we change into mixed fraction:

$=77\frac{1}{2}$

Therefore, the answer is $77\frac{1}{2}$ .

7 0

3 years ago

If 2⅕ of a number is 5. what is the number?

Black_prince [1.1K]

Answer:

The number is ;

25/11

Step-by-step explanation:

$Let- the -unknown- number- be ; x\\2\frac{1}{5} \times x =5\\\\\frac{11x}{5} =5\\Cross-Multiply\\11x = 25\\Divide- both-sides-of-the-equation -by ; x\\\frac{11x}{11} =\frac{25}{11} \\x = 25/11\\\\x = 2\frac{3}{11}\\$

6 0

4 years ago

Solve this equation by completing the square p^2 + 16p - 17 = 0

LenaWriter [7]

Answer: p=1

Step-by-step explanation:

$p^{2}+16p-17=0\\p^{2}+16p=17\\1^{2}+16(1)=17\\1+16=17\\p=1$

(p-1)(p+16)

Also, here's the cross method in completing the square that I tried in the file attachment. I haven't done this in a while, so this may not be neat.

6 0

3 years ago

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 6xy + 12y2 = 28, (2,

navik [9.2K]

Answer:

The equation of the tangent line is $y = -\frac{5}{18}\cdot x +\frac{14}{9}$ .

Step-by-step explanation:

Firstly, we obtain the equation for the slope of the tangent line by implicit differentiation:

$2\cdot x + 6\cdot y + 6\cdot x \cdot y' + 24\cdot y \cdot y' = 0$

$2\cdot (x + 3\cdot y) + 6\cdot (x + 4\cdot y) \cdot y' = 0$

$6\cdot (x + 4\cdot y) \cdot y' = -2\cdot (x+3\cdot y)$

$y' = -\frac{1}{3}\cdot \left(\frac{x + 3\cdot y}{x + 4\cdot y} \right)$ (1)

If we know that $(x,y) = (2, 1)$ , then the slope of the tangent line is:

$y' = -\frac{1}{3}\cdot \left(\frac{2+3\cdot 1}{2 + 4\cdot 1} \right)$

$y' =-\frac{5}{18}$

By definition of tangent line, we determine the intercept of the line ( $b$ ):

$y = m\cdot x + b$

$b = y - m\cdot x$ (2)

If we know that $(x,y) = (2,1)$ and $m = -\frac{5}{18}$ , then the intercept of the tangent line is:

$b = 1 - \left(-\frac{5}{18} \right)\cdot (2)$

$b = \frac{14}{9}$

The equation of the tangent line is $y = -\frac{5}{18}\cdot x +\frac{14}{9}$ .

5 0

3 years ago