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2 years ago

Solve the following quadratic by completing the square.

Mathematics

1 answer:

lianna [129]2 years ago

4 0

Answer:

$x = -5 \pm \sqrt{26}$

Step-by-step explanation:

$x^2+10x-1=0\\\\\implies x^2+2\cdot 5 x +5^2-5^2-1=0\\\\\implies (x+5)^2-25-1=0\\\\\implies (x+5)^2 -26=0\\\\\implies (x+5)^2 = 26\\\\\implies x +5 = \pm\sqrt{26}\\\\\implies x = -5 \pm \sqrt{26}$

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Wilda can do a job in 4 hours that karla needs 5 hours to do. If wilda works 1 hour before karla joins her, how long will it tak

mezya [45]

Wilda can do the job in 4 hours ... she does 1/4 (or 0.25) of it each hour.
Karla can do it in 5 hours ... she does 1/5 (or 0.2) of it each hour.

Wilda worked alone for 1 hour ... 0.25 of the job was done before her helper
arrived. So only 0.75 of the job remained to be done together.

Working together, they accomplish (0.25 + 0.2) = 0.45 of the job in 1 hour.

How many times do they need to do 0.45 of the job in order to finish
the 0.75 of it that remains ? That's the number of hours it will take them,
working together.

0.75 / 0.45 = 1 and 2/3

After Wilda worked alone for 1 hour and Karla came along to join her, it will
take them another 1 hour and 40 minutes to finish the job and go for a swim.

8 0

3 years ago

a new rectangular park is planned.it will be 3/4 kilometer long and have an area of 3/8 square kilometers. how many kilometers w

kakasveta [241]

The word usage in last sentence of the question is not well presented. However, I can understand that you intend to solve for the width of the park

Answer:

$Width = 2\ km$

Step-by-step explanation:

Given

$Length = \frac{3}{8}km$

$Area = \frac{3}{4}km^2$

Required

Determine the Width

For a rectangle:

$Area = Length * Width$

Substitute for Area and Length

$\frac{3}{4} = \frac{3}{8} * Width$

Multiply both sides by $\frac{8}{3}$

$\frac{8}{3} * \frac{3}{4} = \frac{3}{8} * \frac{8}{3}* Width$

$\frac{8}{3} * \frac{3}{4} = Width$

$\frac{24}{12} = Width$

$2 = Width$

$Width = 2\ km$

6 0

3 years ago

4. Identify any lines of symmetry the figure has.

Ira Lisetskai [31]

The lines of symmetry in this particular picture are the horizontal and vertical lines.

If you were to look at the first quarter, and the vertical line reflects the curves to the second quarter.

Then, if you were to look at the horizontal line, you would see that the line reflects the entire top half to the bottom.

Hope this helps and please consider marking branliest.

6 0

2 years ago

(02.04 LC)

Georgia [21]

Answer:

x = - 1

Step-by-step explanation:

the equation of a vertical line is

x = c

where c is the value of the x- coordinates the line passes through

the line passes through the x- intercept of - 1 , then

x = - 1 ← equation of vertical line

7 0

1 year ago

Convert the function into intercept form. Show your work. y=-x^2+5x+36

UkoKoshka [18]

Y = -x2 + 5x + 36 → y = -(x2 -5x -36)

→ y = -(x2 - 9x +4x - 36)

→ y = -[x(x-9) + 4(x - 9)]

→ y = -(x - 9)(x + 4)

Your answer would be y=-(x-9)(x+4).

7 0

3 years ago