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3 years ago

Write the equation in standard form. Then factor the left side of the equation 2x2=28-X

Mathematics

1 answer:

inn [45]3 years ago

6 0

The correct answer is B) (2x-7)(x+4)=0. If you were to FOIL (First, Outer, Inner, Last) the answer, you would get 2x^2+1x-28=0.
Step by step:
(2x-7)(x+4)=0
FOIL it.
2x^2+8x-7x-28=0
Combine the two middle terms.
2x^2+1x-28=0
Move -28 and 1x over to the right side of the equation.
2x^2=28-x

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3 years ago

Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the origin

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2 years ago

Find an equation of the circle that has center (-4,3) and passes through (6,-4).

kumpel [21]

Answer:

$(x+4)^2+(y-3)^2=149$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius of the circle.

Given that $(h,k)\rightarrow(-4,3)$ and it passes $(6,-4)$ , their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}$

Therefore, if the length of the radius is $r=\sqrt{149}$ units, then $r^2=149$ , making the final equation of the circle $(x+4)^2+(y-3)^2=149$

5 0

2 years ago

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to

chubhunter [2.5K]

Answer:

Area = 74.1 square units

Step-by-step explanation:

Area of the composite figure = Area of the rectangle + Area of the semicircle

Area o the rectangle = Length × Width

= 10 × 6

= 60 square units

Area of the semicircle = $\frac{1}{2}\pi r^{2}$

Here, r = radius of the semicircle

For the semicircle with radius = $\frac{6}{2}$ = 3 units

Area = $\frac{1}{2}\pi (3)^{2}$

= 4.5π

= 14.14 units²

Total area of the composite figure = 60 + 14.14

= 74.14 square units ≈ 74.1 square units

3 0

3 years ago

What is 5.8x10^6 seconds in minutes

Troyanec [42]

Let x be the number of minutes of 5.8*10^6 seconds.
Each minute is made of 60 seconds. Let's then use the rule of three:

60 seconds --> 1 minute
5.8*10^6 --> x minutes

x = (5.8*10^6)*1 / 60
x ≈ 96,666.66 minutes.

So 5.8*10^6 seconds is about 96,666.66 minutes.

Hope this Helps! :)

5 0

3 years ago

Read 2 more answers