Solve each by graphing.1. y = x - 2 Y = -1/2x + 4

Mathematics

1 answer:

zimovet [89]3 years ago

6 0

Answer:

Step-by-step explanation:

In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point. We can graph a parabola with a different vertex.

Hope this helps

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Can someone help me with number 9 please? thanks

Zina [86]

Each of the 223 million people put $10 back into circulation every year.

$\sf 223,000,000\times 10=2,230,000,000$

So every year, this much money goes into circulation, and this is how much that goes into circulation the first year.

$\sf 2,230,000,000+2,230,000,000=4,460,000,000$

This is how much that will be in circulation after 2 years.

$\sf 4,460,000,000+2,230,000,000=6,690,000,000$

This is how much that will be in circulation after 3 years.

So we can create the table:

$\sf\left[\begin{array}{cc}\sf Years&\sf Money&\sf 1&\sf 2,230,000,000\\\sf 2&\sf 4,460,000,000&\sf 3&\sf 6,690,000,000\end{array}\right]$

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3 years ago

A box has a length of 4 inches and a width of 8 inches. If the volume is 192 cubic inches, what is the height of the box?

melamori03 [73]

C) 6 inches

4•8=32
192/32 = 6

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4 years ago

In ΔABC, m∠A = 90° and AN is an altitude. If AB = 20 in and AC = 15 in, find BC, BN, NC, AN.

uranmaximum [27]

Since ΔABC is a right triangle, we can use the Pythagorean theorem to find the missing side, BC as shown below.

$\overline{BC}= \sqrt{20^{2} + 15^{2}} = 25$

Now, since AN is an altitude formed along BC, we can form two smaller triangles that are both similar with ΔABC.
(An image is attached along the file to show the illustrations of the triangles with the larger one.)

Thus, we have ΔNBA~ΔABC and ΔNAC~ΔABC. So, for ΔNBA and ΔABC, we have

$\frac{BN}{BA} = \frac{BA}{BC}$
$\frac{BN}{20} = \frac{20}{25}$
$\overline{BN} = \frac{20(20)}{25} = 16$

and applying the same process with AN, we have

$\frac{AN}{BA} = \frac{AC}{BC}$
$\frac{AN}{20} = \frac{15}{25}$
$\overline{AN} = \frac{20(15)}{25} = 12$

We can also use the same method to find the missing sides in ΔANC. But, we can immediately find the value of NC as shown.

$\overline{NC} = \overline{BC} - \overline{BN}$
$\overline{NC} = 25 - 16 = 9$

Since ΔANC is a right triangle and two given lengths, we can find the third side, AN, through Pythagorean theorem.

$\overline{AN} = \sqrt{15^{2} - 12^{2}} = 9$

Thus, we have found all the missing sides. The picture attached also shows the missing sides' lengths in red.

Answer: BC = 25, BN = 16, NC = 9, and AN = 12