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4 years ago

PLEASE HELP! THANK YOU! Explain your answer!!!

Mathematics

1 answer:

Brrunno [24]4 years ago

6 0

Answer:

1) y = 1/2 x + 3 and y = 1/2 x are parallel

2) y = 1/2 x + 4 and y = 1/2 x + 1 are parallel

Step-by-step explanation:

Two lines are parallel only if their slope is equal.

In the first problem:

y = 1/2 x + 3 and y = 1/2 x have same slope ( i.e slope = 1/2)

That means these two equations are parallel to each other.

In the second problem:

y = 1/2 x + 4 and y = 1/2 x + 1 have same slope( i.e slope = 1/2)

Hence above two equations are parallel to each other.

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Can someone please help me factorize this one: <img src="https://tex.z-dn.net/?f=0.01y%20%7B%7D%5E%7B2%7D%20%20-%20%20%5Cfrac

Scorpion4ik [409]

First let us convert 0.01 into fraction:

$\frac{y^{2}}{100} -\frac{1}{4}$

Now we convert 100 and 4 into perfect squares as follows:

$(\frac{y}{10})^{2}-(\frac{1}{2})^{2}$

Now we use the property of :

$x^{2} -y^{2} =(x+y)(x-y)$

$(\frac{y}{10} +\frac{1}{2} ) (\frac{y}{10} -\frac{1}{2} )$

4 0

3 years ago

(WILL GIVE BRAINLIEST) Solve for x.

Oksanka [162]

Answer:

−2(−9x+5)−4x=2(x−5)−4

Step 1: Simplify both sides of the equation.

−2(−9x+5)−4x=2(x−5)−4

(−2)(−9x)+(−2)(5)+−4x=(2)(x)+(2)(−5)+−4(Distribute)

18x+−10+−4x=2x+−10+−4

(18x+−4x)+(−10)=(2x)+(−10+−4)(Combine Like Terms)

14x+−10=2x+−14

14x−10=2x−14

Step 2: Subtract 2x from both sides.

14x−10−2x=2x−14−2x

12x−10=−14

Step 3: Add 10 to both sides.

12x−10+10=−14+10

12x=−4

Step 4: Divide both sides by 12.

12x

−4

x= -1/3

Step-by-step explanation:

Good luck! Hope this helps! <3

3 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIEST, THANKS, AND 5 STARS! PLEASE HELP ME!

Bogdan [553]

Answer:

-4 and 4

Step-by-step explanation:

Method 1

Apply Difference of Two Squares Formula: $a^2-b^2=(a+b)(a-b)$

Given $x^2-16=0$

Rewrite 16 as 4²

Therefore, $a^2=x^2$ and $b^2=4^2$

$\implies a = \sqrt{x^2}=x$

$\implies b=\sqrt{4^2} =4$

$\implies x^2-16^2=(x+4)(x-4)$

$\implies (x+4)(x-4)=0$

$\implies (x+4)=0 \implies x=-4$

$\implies (x-4)=0 \implies x=4$

Method 2

Given equation:

$x^2-16=0$

Add 16 to both sides:

$\implies x^2-16+16=0 + 16$

$\implies x^2=16$

Square root both sides:

$\implies \sqrt{x^2}=\sqrt{16}$

$\implies x=\pm4$

Therefore, x = -4, x = 4

6 0

2 years ago

I need help please ASAP full points

kotegsom [21]

The best way to solve this problem is with a simple equation: part = percent (in decimal form) x whole

In this problem, we're trying to solve for the whole amount that the camera can hold, so we'll assign that the variable w.

We can use the information they gave us - 96 is the part, and 24% is the percent. We'll convert that to decimal form - 0.24

Then, we just plug these values back into the above equation:

96 = 0.24w

Divide both sides by 0.24 to get w on it's own, and you have your answer!

400 = w

Therefore, the memory card can hold up to 400 pictures.

Note: this equation is super helpful. It's good to have on hand for any problem involving percents, because you can solve for the part, percent, or whole depending on the problem.

4 0

3 years ago

X/3 - ( -2) =16 and its 7 th grade algebra btw i need help

Novosadov [1.4K]

Answer x/3 -(-2)= 16

X/3+ 2=16

X/3=16-2

X/3=14

X= 14x3=42

Step-by-step explanation:

3 0

3 years ago