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1 year ago

What does the point (1,5) represent

Mathematics

1 answer:

Ilia_Sergeevich [38]1 year ago

5 0

The point (1,5) is:

Like it is shown this means that we have to move one unit in the right direction and 5 units up.

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irina1246 [14]

Answer:

the answer is 48, or the second choice B

Step-by-step explanation:

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3 years ago

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If x to the power of 2 equals 196 what does x equal

natulia [17]

Answer:

Step-by-step explanation:

<h2><u>Solve for x</u></h2>

<u /> $x^{2} = 196$

this can be solved by square rooting 196

$x = \sqrt{196}$

x = 14

<h3><u>the value for x is 14</u></h3>

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2 years ago

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The last one need the right answer please

Llana [10]

Answer:

Part 1) The unit rate is $16\frac{dollars}{ounce}$

Part 2) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 3) The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

Part 4) The unit rate is $4\frac{dollars}{ounce}$

see the attached figure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{d2-d1}{n2-n1}$

where

d ----> number of dollars (dependent variable or output value)

n ---> number of ounces (independent variable or input value)

Remember that the slope of the linear equation is the same that the unit rate

<u><em>Verify each case</em></u>

1) we have

$d=16n$

This is a proportional relationship between the variables d and n

The slope is

$m=16\frac{dollars}{ounce}$

therefore

The unit rate is $16\frac{dollars}{ounce}$

2) we have

<em>First table</em>

take two points from the table

(4,1) and (16,4)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

$m=\frac{4-1}{16-4}$

$m=\frac{3}{12}\frac{dollars}{ounce}$

simplify

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

3) we have

$n=4d$

This is a proportional relationship between the variables d and n

isolate the variable d

$d=\frac{1}{4}n$

The slope is

$m=\frac{1}{4}\frac{dollars}{ounce}$

therefore

The unit rate is $\frac{1}{4}\frac{dollars}{ounce}$

4) we have

<em>Second table</em>

take two points from the table

(1,4) and (2,8)

substitute in the formula of slope

$m=\frac{d2-d1}{n2-n1}$

$m=\frac{8-4}{2-1}$

$m=4\frac{dollars}{ounce}$

therefore

The unit rate is $4\frac{dollars}{ounce}$

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3 years ago

A triangular lot bounded by three streets has a length of 300 feet on one street, 250 feet on the second, and 420 feet on the th

svetoff [14.1K]

Apply the Law of Sines.

sin A sin B sin C
------- = -------- = --------
a b c

Inserting the given data,

sin 36 sin B sin C
--------- = -------- = --------
250 300 420
300 sin 36
Then 300 sin 36 = 250 sin B, and sin B = ---------------- = 0.705
250

Thus, arcsin B = 0.783 rad = 44.857 degrees, or about 45 degrees.

Taking B to be 45 degrees and the given angle 36 deg, then the 3rd angle must be 180 - (45+36) = 99 degrees (which is opposite the 420-ft side).

At this point we apply Heron's formula. You should look this up on the 'Net.

a + b + c 250 + 300 + 420
First, we calculate S = --------------- = ------------------------ = 970/2 = 485
2 2

and then calculate sqrt (S(S-A)(S-B)(S-C):

Area of triangle / lot is then:

A = sqrt(485(485-250)(485-300)(485-420))
= sqrt(485(235)(185)(65) )
= 37021 square feet

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3 years ago

Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altime

gogolik [260]

Answer:

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3 years ago