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3 years ago

Trapezoid TUVM is rotated 90 counterclockwise about the origin. After the rotation, what is the location of vertex V?

Mathematics

1 answer:

STatiana [176]3 years ago

7 0

Answer:

(-6,2)........

.........

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Robin donated bags of grain that each weighed 40/3 pounds to the local food shelf. If the total weight of the grain was 160 poun

Novay_Z [31]

Answer:

d 12

Step-by-step explanation:

7 0

2 years ago

Prove that root 7 is irrational by the method of contradiction

Alchen [17]

Let assume that $\sqrt7$ is a rational number. Therefore it can be expressed as a fraction $\dfrac{a}{b}$ where $a,b\in\mathbb{Z}$ and $\text{gcd}(a,b)=1$ .

$\sqrt7=\dfrac{a}{b}\\\\7=\dfrac{a^2}{b^2}\\\\a^2=7b^2$

This means that $a^2$ is divisible by 7, and therefore also $a$ is divisible by 7.

So, $a=7k$ where $k\in\mathbb{Z}$

$(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2$

Analogically to $a^2=7b^2$ ------- $b^2$ is divisible by 7 and therefore so is $b$ .

But if both numbers $a$ and $b$ are divisible by 7, then $\text{gcd}(a,b)=7$ which contradicts our earlier assumption that $\text{gcd}(a,b)=1$ .

Therefore $\sqrt7$ is an irrational number.

8 0

3 years ago

-3 + (-8)<br> how can i do this

murzikaleks [220]

Answer: -11

Step-by-step explanation:

+(-8) can be simplified to -8 because when you multiply a positive sign by a negative sign, the outcome is a negative sign. So your problem is -3-8= and the answer is -11 because when two numbers with the same sign are subtracted/added by each other, the numbers just get added and the sign stays the same. If you're still confused, use a number line. Hope this helps!

6 0

2 years ago

Which equation is true? (1 point)<br> 104 = 1,000<br> 10° - 100 x 1.000<br> 10 10.000 x 10

ziro4ka [17]

Answer is

10 10.000 x 10

8 0

3 years ago

A box contains 7 black pencils and 28 blue onew what is the ratio between the black and blue pens

Ivenika [448]

Answer:

1 : 4

Step-by-step explanation:

7 black : 28 blue = 7/28 ---> reduces to 1/4 ---> 1 : 4

6 0

3 years ago