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2 years ago

Christine is building a deck in her backyard. In order to place the

Mathematics

1 answer:

VLD [36.1K]2 years ago

5 0

Answer:

you will barely get any answers quick on here

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True or False: Surface area is the combined area for all of the surfaces of a 3D shape.

Lena [83]

Answer:

Step-by-step explanation:

It's false

8 0

2 years ago

For what value of k is there one solution to the given quadratic equation (k+1)x²+4kx+2=0.

andriy [413]

Answer:

If $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

The signal of $\bigtriangleup$ determines how many real roots an equation has:

$\bigtriangleup > 0$ : Two real and different solutions

$\bigtriangleup = 0$ : One real solution

$\bigtriangleup < 0$ : No real solutions

In this problem, we have the following second order polynomial:

$(k+1)x^{2} + 4kx + 2 = 0$ .

This means that $a = k+1; b = 4k; c = 2$

It has one solution if

$\bigtriangleup = 0$

$b^{2} - 4ac = 0$

$16k^{2} -8(k+1) = 0$

$16k^{2} - 8k - 8 = 0$

We can simplify by 8

$2k^{2} - k - 1 = 0$

The solution is:

$k = 1$ or $k = -\frac{1}{2}$

So, if $k = 1$ or $k = -\frac{1}{2}$ , there is only one solution to the given quadratic equation.

4 0

3 years ago

Micah is preparing for a piano recital. He practices for 50 minutes on Monday and 90 minutes on Wensday

SCORPION-xisa [38]

Answer:

She increased 80% the practise time

Step-by-step explanation:

The question is incomplete, the following is missing:

<em>by how much did she increase the time she practised each day? </em>

From Monday to Wednesday she increased 90 - 50 = 40 minutes the practise time.

To compute the increment as a percentage use: increment/reference *100

In this case, that is: 40/50*100 = 80%, where 50 minutes is taken as a reference.

6 0

2 years ago

Read 2 more answers

4 friends went to the movies and each ordered a container of popcorn.They spent $24 on popcorn.How much did each container of po

alexandr402 [8]

Answer: $6

Step-by-step explanation:

24/4 = 6

5 0

2 years ago

Read 2 more answers

Sarah used 3/4 pounds of blueberries to make one and a half cup of jam how many pounds of blueberries would you need to make a c

ella [17]

The Answer would be C, because if you divide 3/4 by 2/3 you have to switch numerators and denominator for 2/4, once you multiply that you get 9/8 you change that to a mixed number. Then you get C

4 0

2 years ago