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2 years ago

4x−3y=18 Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

3 0

Answer:

13.5

Step-by-step explanation:

The point with the missing coordinate is (?, 12), so the value of y is 12. Plug 12 into the equation in the place of y.

4x - 3(12) = 18

4x - 36 = 18

4x = 54

x = 54/4 = 13.5

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2.) Fill in the blank.

Montano1993 [528]

Answer:

E.) 1

Step-by-step explanation:

Firstly we will solve for L.H.S.

L.H.S. = $Csc^2\theta$

Since we know that $Csc^2\theta$ is the inverse of $Sin^2\theta$ .

So we can say that;

$csc^2\theta=\frac{1}{sin^2\theta}$

Now For R.H.S.

$Cot^2\theta+1$

Since we can rewrite $cot^2\theta$ as $\frac{cos^2\theta}{sin^2\theta}$ .

Now we can say that the R.H.S. is;

$\frac{cos^2\theta}{sin^2\theta}+1$

Now we add the fraction and get;

$\frac{cos^2\theta+sin^2\theta}{sin^2\theta}$

Now according to trigonometric identity;

$cos^2\theta+sin^2\theta=1$

So, $\frac{cos^2\theta+sin^2\theta}{sin^2\theta}=\frac{1}{sin^2\theta}$

Here,

$csc^2\theta=\frac{1}{sin^2\theta}$ and $Cot^2\theta+1$ = $\frac{1}{sin^2\theta}$

L.H.S. = R.H.S.

Hence $csc^2\theta=cot^2\theta+1$

4 0

3 years ago

When Jorge put the pots and pans in the sink,the water level in the sink rose 0.6 inches. If the sink is a rectangular prism wit

Viktor [21]

$V_1$ - volume without pots and pans
$V_2$ - volume with pots and pans
$V_2-V_1$ - volume of pots and pans

$V_1=17\cdot23\cdot h=391h\ in^3\\ V_2=391(h+0.6)=391h+234.6\ in^3\\
V_2-V_1=391h+234.6-391h\\
V_2-V_1=234.6 \ in ^3$

6 0

3 years ago

Anya's grandparents decide they want to invest at the bank. They have $35,000

Aneli [31]

Anya's parents will have $44,440.71 after 6 years if they invested in a bank.

The interest rate given is an annual rate yet will be compounded quarterly. You therefore need to convert the interest rate to a quarterly rate.

= 4% / 4 quarters

= 1% per quarter

Number of periods:

= Number of years x Number of quarters in year

= 6 x 4

= 24 quarters

The amount they will have in their account is:

= Amount x ( 1 + rate) ^ number of periods

= 35,000 x ( 1 + 1%)²⁴

= $44,440.71

In conclusion, they will have $44,440.71 if they invested their money in a bank for 6 years.

Find out more at brainly.com/question/13861384.

3 0

2 years ago

Y = 2x + 3 2y = 4x + 6 The system of equations has _____ solution(s).

Len [333]

Dividing the 2nd equation by 2 gives y=2x + 3 which is the same as the too
p line. any answer to one of them is obviously an answer to the other so there are infinitely many solutions

6 0

3 years ago

What is the value of x Triangle with sides 10 6 x-6

Grace [21]

Given that the triangle is a right angled triangle, to solve for x we shall use the Pythagorean theorem given by:
c^2=a^2+b^2
where:
c is the hypotenuse
a and b are the legs.
c=10
a=6
b=(x-6)
thus plugging the values in the equation and solving for x we get:
10^2=6^2+(x-6)^2
100=36+x^2-12x+36
100=x^2-12x+72
0=x^2-12x-28
factoring the above we get:
0=(x+2)(x-14)
hence
x=-2 or x=14
given that there is no negative distance then
x=14
thus the value of x is 14

5 0

4 years ago