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3 years ago

Check my work? Rational and irrational numbers.

Mathematics

2 answers:

Sauron [17]3 years ago

3 0

Here, Rational numbers are: = 2/9 and √225
& other two are irrational

Hope this helps!

telo118 [61]3 years ago

3 0

43 is the asnwer hope it helped

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Factor the quadratic equation below to reveal the solutions. X^2+4x-21=-9

a_sh-v [17]

Answer:

x = 3 and x = -7

Step-by-step explanation:

The given quadratic equation is $x^2+4x-21=0$ . We need to find the solution of this equation.

If the equation is in the form of $ax^2+bx+c=0$ , then its solutions are given by :

$x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}$

Here, a = 1, b = 4 and c = -21

Plugging all the values in the value of x, such that :

$x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a},\dfrac{-b- \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-4+ \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)},\dfrac{-4- \sqrt{(4)^2-4\times 1\times (-21)} }{2(1)}\\\\x=3, -7$

So, the solutions of the quadratic equation are 3 and -7.

6 0

3 years ago

Todd is 81 years younger than Rosa. 3 years ago, Rosa’s age was 4 times Todd’s age. How old is Todd now?

Delvig [45]

Let t represent Todd's age now.
.. 4(t -3) -(t -3) = 81 . . . . . . 3 years ago, their differnce in ages was 81.
.. 3t -9 = 81
.. t = (81 +9)/3 = 30

Todd is 30 now.

_____
You can also work this by considering "ratio units." 3 years ago, the ratio of their ages was 4:1, a difference of 3. That difference corresponds to 81 years, so each "ratio unit" represents 81/3 = 27 years. Todd's age then was 1 ratio unit, 27 years. Now, Todd's age is 30.

8 0

3 years ago

Sandy asked a printing company to enlarge a drawing to 130% of its original size. If the width of the original drawing was 37 ce

insens350 [35]

48.1 cm

130% = 1.3
37 * 1.3 = 48.1

8 0

2 years ago

Problem Solve 88 – (–35)

Rasek [7]

Subtract negative = add
88 + 35 = 123
The solution is 123

7 0

2 years ago

Read 2 more answers

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Afina-wow [57]

5a) rotational symmetry is 2 because it can be rotated only 2 times before it turns to the original form.

b) perimeter is the total surface of all the sides so, because we are given a scale of 1 unit = 1cm then our measurements would be: 4cm + 3cm + 2cm + 1cm + 4cm + 3cm + 2cm + 1cm = 20cm.

c) To workout the area we need to divide the irregular shape into separate regular shapes. the diagram will help you! Shape 1 is a rectangle so, area = L × W = 3 × 2 = 6cm. Shape 2 is a square so, area = side² = 2² = 4cm. Shape 3 is the same as shape 1 so the area is 6cm. Now to find the area of the whole shape we add these values so, 6+4+6= area of shape = 16cm.

d) The diagram will show the answer!

6 0

3 years ago