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My name is Ann [436]

3 years ago

7

Translate this sentence into an equation. 59 is the sum of 11 and Mai’s score

2 answers:

777dan777 [17]3 years ago

7 0

11 + Mai’s score (insert whatever variable you want here)= 59

trapecia [35]3 years ago

3 0

Answer:

11 + Mai's Score = 59

Step-by-step explanation:

You need to add 11 and Mai's score together to get 59, so with the values given we can make the equation 11 + Mai's Score = 59.

*depending on the question, Mai's score may need to be said as a letter variable, so:

If m = mai's score,

11 + m = 59

I hope this helped! :)

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Keiko sold 3 less than three-fourths of his sister's sales. Which expression represents what Keiko sold?

lisov135 [29]

Answer: 3/4x - 3

Step-by-step explanation:

Let his sister's sale be represented by x.

Since we are informed that Keiko sold 3 less than three-fourths of his sister's sales, the expression that represents what Keiko sold will be:

= (3/4 × x) - 3

= 3/4x - 3

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2 years ago

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What is the equation of the line that has a slope of -4 and goes through the point (4,-6)

Elis [28]

It would be Y=-4x+10. Please mark me brainliest. It’s fine if you don’t want to tho.

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3 years ago

Three hikers equally share 1/2 gallon of water. Explain how you would use an area model to find the amount of water each hiker d

zlopas [31]

Answer:

1/6

Step-by-step explanation:

1/2 ÷ 3 equation

1/2 ÷3/1 flip

1/2 x 1/3 multiply

1/6 Answer

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2 years ago

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Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,)

ELEN [110]

Question:

Find the point (,) on the curve $y = \sqrt x$ that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

Step-by-step explanation:

$y = \sqrt x$ can be represented as: $(x,y)$

Substitute $\sqrt x$ for $y$

$(x,y) = (x,\sqrt x)$

So, next:

Calculate the distance between $(x,\sqrt x)$ and $(3,0)$

Distance is calculated as:

$d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}$

So:

$d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}$

$d = \sqrt{(x-3)^2 + (\sqrt x)^2}$

Evaluate all exponents

$d = \sqrt{x^2 - 6x +9 + x}$

Rewrite as:

$d = \sqrt{x^2 + x- 6x +9 }$

$d = \sqrt{x^2 - 5x +9 }$

Differentiate using chain rule:

Let

$u = x^2 - 5x +9$

$\frac{du}{dx} = 2x - 5$

So:

$d = \sqrt u$

$d = u^\frac{1}{2}$

$\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}$

Chain Rule:

$d' = \frac{du}{dx} * \frac{dd}{du}$

$d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}$

$d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}$

$d' = \frac{2x - 5}{2\sqrt u}$

Substitute: $u = x^2 - 5x +9$

$d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}$

Next, is to minimize (by equating d' to 0)

$\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0$

Cross Multiply

$2x - 5 = 0$

Solve for x

$2x =5$

$x = \frac{5}{2}$

Substitute $x = \frac{5}{2}$ in $y = \sqrt x$

$y = \sqrt{\frac{5}{2}}$

Split

$y = \frac{\sqrt 5}{\sqrt 2}$

Rationalize

$y = \frac{\sqrt 5}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}$

$y = \frac{\sqrt {10}}{\sqrt 4}$

$y = \frac{\sqrt {10}}{2}$

Hence:

$(x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})$

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3 years ago

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nikitadnepr [17]

Answer:

it is easy use the formula of triangle which is 1/2(base × height) and base is the side where the height touches and height means the perpendicular line.

And in some cases there may be the use of pythagoras theorem

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2 years ago

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