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2 years ago

Find the term that must be added to the equation x^2+6x=1 to make it into a perfect square

Mathematics

1 answer:

baherus [9]2 years ago

8 0

Answer:

Step-by-step explanation:

Half of b, and then square that is how to complete the square. Therefore, half of b is 3 and square of 3 is 9.

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I really need help. I need to go to sleep but I also need to finish this first plz help

WITCHER [35]

Since it doesn't give us a specific variable to use I'll just use y. and my phone doesn't have the less than or equal to sign so ill just say how to draw it i guess.
41. y (less than sign with line) 4.
42. y × (-7) > 42
43. y ÷3 - 5 (greater than sign with line) 11

and im not 100% sure on 44 so... anyway you probably know what the greater than or equal to sign and the less than or equal to sign are so. yeah hope it helped.

8 0

3 years ago

Help me please by solving and showing the steps:)

Lorico [155]

Answer:

$-\frac{3\sqrt[3]{t} }{2}$

Step-by-step explanation:

1: Write g(t) as y, resulting in $y=-\frac{8}{27}t^3$

2: Interchange the variables y and t, resulting in $t=-\frac{8}{27}y^3$

3: Multiply both sides by 27, resulting in $27t=-8y^3$

4: Divide both sides by -8, resulting in $-\frac{27t}{8}=y^3$

5: Find the cube root of both sides, resulting in $\sqrt[3]{-\frac{27t}{8} }=y$

6: Apply a radical rule, resulting in $-\sqrt[3]{\frac{27t}{8} } =y$

7: Apply another radical rule, resulting in $-\frac{\sqrt[3]{27t} }{\sqrt[3]{8} } =y$

8: Simplify the denominator, resulting in $-\frac{\sqrt[3]{27t} }{2} =y$

9: Apply yet another radical rule, resulting in $-\frac{\sqrt[3]{27}\sqrt[3]{t} }{2} =y$

10: Simplify $\sqrt[3]{27}$ , resulting in $-\frac{3\sqrt[3]{t} }{2} =y$

3 0

3 years ago

In the sale, jumpers are on the offer “buy 2, save 1

Romashka [77]

Answer:Step-by-step explanation:

so if you buy 2 jumpers it will be the cost of 1

and 30% of 50 is 15 so 15 + 15 = 30 plus 45 =

8 0

3 years ago

Read 2 more answers

Find the total area of the entire figure. *

bonufazy [111]

Answer:

392.5 in²

Step-by-step explanation:

This figure is consists of a trapezium and a rectangle.

So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately and add them together.

Let us find now.

Area of the Trapezium

Area = $\frac{1}{2}$ × ( sum of the parallel sides ) × height

Area = $\frac{1}{2}$ × ( 9 + 20 ) × 5

Area = $\frac{1}{2}$ × 29 × 5

Area = $\frac{1}{2}$ × 145

Area = 72.5 in²

Area of the rectangle

Area = Length × Width

Area = 20 × 16

Area = 320 in²

Total area of the figure

Total area = Area of the trapezium + Area of the rectangle

Total area = 72.5 in² + 320 in²

Total area = 392.5 in²

Hope this helps you :-)

Let me know if you have any other questions :-)

6 0

2 years ago

A tin of biscuits contains shortbread and choc-chip biscuits in the ratio 2:3 . The tin contains 80 biscuits. How many short-bre

Aleksandr [31]

Answer:

Step-by-step explanation:

There are 80 biscuits inside the tin.

Also, they said that those biscuits are in the ratio

Short bread : Choc - chip

2 : 3

Altogether there are 5 shares ( 2 + 3)

And now you can divide 80 by 5 to find how many biscuits contain per a share.

80 ÷ 5 = 16

In the question, they asked us to to find the number of short biscuits inside the tin.

Let us find that.

There are 2 shares for short bread biscuits.

So,

Number of short biscuits ⇒ 2 × 16

⇒ 32

Hope this helps you :-)

5 0

2 years ago