What is y = 2 x

Evaluate the expression when a=-6 and c= 2 .<br> a-4c

Harman [31]

Answer:

-14

Step-by-step explanation:

a-4c=(-6)-4(2)=-6-8=-14. Hope this helps!

5 0

3 years ago

Read 2 more answers

I don't understand rational and irrational numbers

PSYCHO15rus [73]

A rational number is a number which can be expressed as a fraction whose numerator and denominator are both integers and whose denominator is not equal to zero. Rational numbers include all integers, fractions, mixed numbers, and some decimal numbers.

Note : All terminating and repeating decimal numbers are rational numbers because those numbers can be expressed as a fraction. On the other hand, a non repeating number and non terminating decimal, like square root of 2, is an irrational number.

$\dfrac{7}{16} \ as \ a \ decimal = 0.4375$

$Set \ up \ the \ long \ division.$

$Calculate \ 70 \div 16, \ which \ is \ 4 \ with \ a \ remainder \ of \ 6.

$

$Bring \ down \ 0, so \ that \ 60 \ is \ large \ enough \ to \ be \ divided \ by \ 16.

$

$Calculate \ 60 \div 16, which \ is \ 3 \ with \ a \ remainder \ of \ 12.

$

$Bring \ down \ 0, so \ that \ 120 \ is \ large \ enough \ to \ be \ divided \ by \ 16.

$

$Calculate \ 120 \div 16, which \ is \ 7 \ with \ a \ remainder \ of \ 8.

$

$Bring \ down \ 0, so \ that \ 80 \ is \ large \ enough \ to \ be \ divided \ by \ 16.$

$Calculate \ 80 \div 16, which \ is \ 5. 
$
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$Decimal = 0.4375
$

4 0

3 years ago

Quadrilateral CDEF is reflected across the x-axis and translated 3 units left to create quadrilateral GHJK .

PilotLPTM [1.2K]

Answer- KG⎯∥JH⎯

the given figure is a trapezium in which CF||DE

Reflection of figure CDEF and shifting it by 3 units does not change the shape of the figure but changes only its position in the x-y plane.

so, the shape of the figure GHJK will be same as that of CDEF.

so sides, KG⎯∥JH⎯

6 0

3 years ago

For positive acute angles A and B, it is known that tan A = 35/12 and sin B = 20/29. Find the value of sin(A - B ) in the simple

almond37 [142]

Answer:

$\displaystyle \sin(A-B)=\frac{495}{1073}$

Step-by-step explanation:

We are given that:

$\displaystyle \tan(A)=\frac{35}{12}\text{ and } \sin(B)=\frac{20}{29}$

Where both A and B are positive acute angles.

And we want to find he value of sin(A-B).

Using the first ratio, we can conclude that the opposite side is 35 and the adjacent side is 12.

Then by the Pythagorean Theorem, the hypotenuse is:

$h = \sqrt{35^2 + 12^2} =37$

Using the second ratio, we can likewise conclude that the opposite side is 20 and the hypotenuse is 29.

Then by the Pythagorean Theorem, the adjacent is:

$a=\sqrt{29^2-20^2}=21$

Therefore, we can conclude that:

So, for A, the adjacent is 12, opposite is 35, and the hypotenuse is 37.

For B, the adjacent is 21, opposite is 20, and the hypotenuse is 29.

We can rewrite sin(A-B) as:

$\sin(A-B)=\sin(A)\cos(B)-\cos(A)\sin(B)$

Using the above conclusions, this yields: (Note that since A and B are positive acute angles, all resulting ratios will be positive.)

$\displaystyle \sin(A-B)=\Big(\frac{35}{37}\Big)\Big(\frac{21}{29}\Big)-\Big(\frac{12}{37}\Big)\Big(\frac{20}{29}\Big)$

Evaluate:

$\displaystyle \sin(A-B)=\frac{735-240}{1073}=\frac{495}{1073}$

6 0

3 years ago

Charles needed 3/4 cups of rasins. if he has a 1/4 measuring cup, how many times will he need to fi'll it up to get to the right

koban [17]

3 times because if he needs 3/4 cup the. you should use it 3 times. (3/4÷1/4=3)

7 0

3 years ago

What is y = 2 x - 2