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3 years ago

Simplify the following expression -2(4-4n)+6n

Mathematics

2 answers:

NeX [460]3 years ago

8 0

Answer:

-8 + 14n

Step-by-step explanation:

-2(4-4n)+6n

Distribute the -2

-8 +8n+6n

Combine like terms

-8 + 14n

mariarad [96]3 years ago

6 0

-8 + 8n + 6n
-8 + 14n as your answer as the negative 2 can be distributed and flips negatives

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Find angle ADB of the equation

Aloiza [94]

Answer:

$m\angle ADB = 59\°$ .

Step-by-step explanation:

Given:

$\angle BDC = 31\°$

We need to find $\angle ADB$ .

Solution:

Now we can see that given figure is a rectangle with diagonals drawn in it.

So by properties of rectangle which states that;

"All angles of a rectangle are 90°."

So we can say that;

$\angle A = \angle B = \angle C = \angle D = 90\°$

But

$\angle D = \angle BDC + \angle ADB$

Substituting the values we get;

$31\°+\angle ADB = 90\°$

Subtracting both side by by 31 we get;

$31\°+\angle ADB -31\°= 90\°-31\°\\\\m\angle ADB = 59\°$

Hence $m\angle ADB = 59\°$ .

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4 years ago

Solve the system by elimination. 4x=−3y−10 9x+2y=6

nadya68 [22]

Answer:

Step-by-step explanation:

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$\text{Put the value of}\ x\ \text{to the second equation:}\\\\9(2)+2y=6\\18+2y=6\qquad\text{subtract 18 from both sides}\\2y=-12\qquad\text{divide both sides by 2}\\\dfrac{2y}{2}=\dfrac{-12}{2}\\\boxed{y=-6}$

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4 years ago

Which is an example of continuous data?

azamat

Answer:

The weight of newborn babies or The temperature of a freezer

Step-by-step explanation:

anything measuring numbers

5 0

3 years ago

Find the zeros of polynomial function and solve polynomials equations.<br> f(x)=24x^3-64x^2-21x+56

8090 [49]

Since this polynomial has 4 terms, factoring by grouping should be the first thing we try here.

So, we have:

$8x^2(3x-8)-7(3x-8)=0 \implies\\ (8x^2-7)(3x-8)=0$

So, we can use ZPP to find out roots:

$3x-8 =0 \implies\\ x=\frac{8}{3}\\ 8x^2-7=0 \implies \\ 8x^2=7 \implies \\ x^2=\frac{7}{8} \implies \\ x=\pm\frac{\sqrt{7}}{\sqrt{{8}}}\\ \text{Rationalizing denominator:}\\ x=\pm\frac{\sqrt{56}}{8}$

So our three roots are:

$x \in \{\frac{8}{3},\frac{\sqrt{56}}{8},-\frac{\sqrt{56}}{8}\}$

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3 years ago

Every quadrilateral is a rectangle

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No because there can be different shapes

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3 years ago