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3 years ago

6

Which best describes the intersection of two lines.

2 answers:

Snezhnost [94]3 years ago

7 0

I believe it is a point or an angle...

Serga [27]3 years ago

5 0

Answer:

A Point

Step-by-step explanation:

When two line meet they create a point. almost think of it as two roads intersecting with each other

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3. The path of an underground stream is given by the function y = 4x² +17x -32. Two

sineoko [7]

Answer:

The coordinate of the wells are

$(-4 -\sqrt[]{\frac{53}{2}}, 70+15\sqrt[]{\frac{53}{2}})$

$(-4 +\sqrt[]{\frac{53}{2}}, 70-15\sqrt[]{\frac{53}{2}})$

Step-by-step explanation:

The y coordinate of the stream is given by $y = 4x^2+17x-32$ . Also, the y coordinate of the houses are determined by y=-15x+10. We will assume that the houses are goint to be built on the exact position where we build the wells. We want to build the wells at the exat position in which both functions cross each other, so we have the following equation

$4x^2+17x-32 = -15x+10$

or equivalently

$4x^2+32x-42=0$ (by summing 15x and substracting 10 on both sides)

Dividing by 2 on both sides, we get

$2x^2+16x-21=0$

Recall that given the equation of the form $ax^2+bx+c=0$ the solutions are

$x = \frac{-b \pm \sqrt[]{b^2-4ac}}{2a}$

Taking a =2, b = 16 and c = -21, we get the solutions

$x_1 = -4 -\sqrt[]{\frac{53}{2}}$

$x_2 = -4 +\sqrt[]{\frac{53}{2}}$

If we replace this values in any of the equations, we get

$y_1 = 70+15\sqrt[]{\frac{53}{2}}$

$y_2 = 70-15\sqrt[]{\frac{53}{2}}$

4 0

3 years ago

Adam Levine wants to buy a new outfit for the Voice. The suit he wants is priced at $300

AVprozaik [17]

Answer:

66 bucks

Step-by-step explanation:

take 300 and 22% then subtract that answer from 300.

8 0

3 years ago

Crystal has 6 blouses, 4 hats, 4 pairs of shoes and 9 skirts.

vagabundo [1.1K]

Answer:

Crystal have 4 distinct outfits.

3 0

3 years ago

Which statement correctly describes the relationship between the lengths of the sides of the triangle shown below?

Vanyuwa [196]

Answer:

B

Step-by-step explanation:

Trust me I got it right and you should too

7 0

4 years ago

Read 2 more answers

Farmer Jones raises ducks and cows. He looks out his window and sees 54 animals with a total of 122 feet. If each animal is “nor

Olenka [21]

Answer:

He have <u>47</u> ducks and <u>7</u> cows.

Step-by-step explanation:

Given:

Farmer Jones raises ducks and cows.

He looks out his window and sees 54 animals with a total of 122 feet.

Now, to find the each type of animal he have.

Let the number of ducks be $x.$

And the number of cows be $y.$

So, total number of animals are:

$x+y=54$

$x=54-y$ ....( 1 )

As, the feet of cows are 4 and ducks are 2.

Now, the total number of feet are:

$2(x)+4(y)=122$

$2x+4y=122$

Substituting the value of $x$ from equation (1) we get:

$2(54-y)+4y=122$

$108-2y+4y=122$

$108+2y=122$

<em>Subtracting both sides by 108 we get:</em>

$2y=14$

<em>Dividing both sides by 2 we get:</em>

$y=7.$

<em>The number of cows = 7.</em>

Now, to get the number of ducks we substitute the value of $y$ in equation (1):

$x=54-y\\x=54-7\\x=47.$

<em>The number of ducks = 47.</em>

Therefore, he have 47 ducks and 7 cows.

4 0

4 years ago