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3 years ago

6

Use prime factor decomposition, to find the HCF of 90 and 210!

1 answer:

andriy [413]3 years ago

4 0

Answer:

30

Step-by-step explanation:

90 = 2 × 3^2 × 5

210 = 2 × 3 × 5 × 7

HCF = 2 × 3 × 5 = 30

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What is the value of ∑n=13(17n−15)∑n=13(17n-15)?

Murljashka [212]

What type of math are you doing in middle school that sh!+
is hard...

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2 years ago

X squared+ y squared = 2 y = 2x squared – 3 Which of the following describes the system?

cluponka [151]

Answer:

$x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}$ and $y=-1,\frac{1}{2}$

The ordered pair solutions are $(-\sqrt{\frac{7}{4}},0.5)$ , $(\sqrt{\frac{7}{4}},0.5)$ , $(-1,-1)$ , and $(1,-1)$ .

Step-by-step explanation:

I'm assuming the system is $\left \{ {x^2+y^2=2} \atop {y=2x^2-3}} \right.$ :

$x^2+y^2=2$

$x^2+(2x^2-3)^2=2$

$x^2+(4x^4-12x^2+9)=2$

$x^2+4x^4-12x^2+9=2$

$4x^4-11x^2+9=2$

$4x^4-11x^2+7=0$

$x^4-11x^2+28=0$

$(x^2-7)(x^2-4)=0$

$(4x^2-7)(x^2-1)=0$

$4x^2-7=0$

$4x^2=7$

$x^2=\frac{7}{4}$

$x=\pm\sqrt{\frac{7}{4}}$

$x^2-1=0$

$x^2=1$

$x=\pm1$

$y=2x^2-3$

$y=2(\pm\sqrt{\frac{7}{4}})^2-3$

$y=2({\frac{7}{4}})-3$

$y=\frac{7}{2}-3$

$y=\frac{1}{2}$

$y=2x^2-3$

$y=2(\pm1)^2-3$

$y=2(1)-3$

$y=2-3$

$y=-1$

Therefore, $x=-1,1,-\sqrt{\frac{7}{4} },\sqrt{\frac{7}{4}}$ and $y=-1,\frac{1}{2}$

The ordered pair solutions are $(-\sqrt{\frac{7}{4}},0.5)$ , $(\sqrt{\frac{7}{4}},0.5)$ , $(-1,-1)$ , and $(1,-1)$ .

4 0

2 years ago

Find the lateral area.<br>10 is the height.

VMariaS [17]

Answer:

The lateral surface area of a cuboid is 180 units² .

Option (c) is correct.

Step-by-step explanation:

Formula

Lateral surface area of a cuboid = 2hl + 2hb

Where h is the height , l is the length and b is the breadth.

As shown in the figure.

Length = 4 units

Breadth = 5 units

Height = 10 units

Put in the formula

Lateral surface area of a box = 2 × 10 × 4 + 2 × 10 × 5

= 80 + 100

= 180 units ²

Therefore the lateral area of the cuboid is 180 units² .

Option (c) is correct.

4 0

3 years ago

Find the greatest common factor of 26 and 14.

Molodets [167]

Answer:

2

Step-by-step explanation:

A factor is a number that can evenly divide into another number.

Let’s list all the factors of both numbers.

26: 1, 2, 13, 26

14: 1,2, 7, 14

Now find the GCF, or greatest common factor. The biggest number that is a factor of both 26 and 14 is 2.

Therefore, the GCF of 26 and 14 is 2.

6 0

2 years ago

What is the value of (1/8)^2, please help... ASAP

dmitriy555 [2]

That means 1/8 times itself 2 times so
1/8 times 1/8=(1 times 1)/(8 times 8)=1/64

3 0

3 years ago