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mel-nik [20]
1 year ago
9

Brahmagupta solved a quadratic equation of the form ax2 + bx = c using the formula x =, which involved only one solution. Using

Brahmagupta’s method, the solution to the quadratic equation x2 + 7x = 8 would be x = 1. Using modern methods, the first step in solving the quadratic equation x2 + 7x = 8 would be to put it in standard form by . What is the second solution?
Mathematics
2 answers:
weeeeeb [17]1 year ago
4 0
X2+7x-8=0
product=-8 times 1 = -8
sum= 7
{-1, 8}
x2-1x+8x-8=0
x(x-1)+8(x-1)=0
x+8=0 or X-1=0
x=-8
RideAnS [48]1 year ago
4 0

Answer:

First part- subtracting 8 from both sides

Second part- x=-8

Step-by-step explanation:

edg 2020

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Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
tigry1 [53]

Answer:

M(x,y) = (1,3) belongs to the line y = 2\cdot x +1. Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

y=k\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

k - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that b = 1, x = 1 and y = 3, then we clear slope and solve the resulting expression:

k = \frac{y-b}{x}

k = \frac{3-1}{1}

k = 2

Then, we conclude that point M(x,y) = (1,3) belongs to the line y = 2\cdot x +1, whose graph is presented below.

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2 years ago
The price per night for a hotel room is different at three different hotels.
Damm [24]
I think you meant it to be not repeating 3 times so
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4 0
2 years ago
Theresa has hired Chuck and Diana to paint a fence. Diana can paint 150 fence posts in the same time it takes Chuck to paint 130
Alenkasestr [34]

Answer: Chuck can paint 65 posts per hour.

Step-by-step explanation:

The data we have here is:

Diana can paint 150 fence posts in a time T

Chuck can pint 130 fence posts in a time T.

In one hour, Diana can paint 10 more fence posts than Chuck.

If D is the hourly rate of Daian, and C is the hourly rate for Chuck, we have:

D = 150/T

C = 130/T

D = C + 10

we can replace the last equation in the first one and geT:

C + 10 =150/T

C = 130/T

Now we can replace the bottom equation in the above one:

130/T + 10 = 150/T

10 = 150/T - 130/T =  20/T

T*10 = 20

T = 20/10 = 2

So T is 2 hours, then whe have:

D = 150post/2hours = 75 posts per hour.

C = 130 posts/2hours = 65 posts per hour.

4 0
2 years ago
Which expression represents the total perimeter of her sandwich, and if x = 1.2, what is the approximate length of the crust?
soldi70 [24.7K]
The answer to this question is choice option letter C
7 0
2 years ago
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Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere.
Advocard [28]
The volume of a sphere is given by:

V= \frac{4}{3} \pi r^{3}

So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution<span>) that lies on the same plane. We know from calculus that:

</span>V=\pi \int_{a}^{b}[f(x)]^{2}dx
<span>
Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:

</span>x^{2}+y^{2}=r^{2}
<span>
Isolationg y:

</span>y= \sqrt{r^{2}-x^{2}}<span>

So,

</span>f(x)=y=\sqrt{r^{2}-x^{2}}<span>

</span>V=\pi \int_{a}^{b}[\sqrt{r^{2}-x^{2}}]^{2}dx
<span>
</span>V=\pi \int_{a}^{b}(r^{2}-x^{2})dx<span>

being -r and r the limits of this integral. 

</span>V=\pi \int_{-r}^{r}(r^{2}-x^{2})dx
<span>
Solving:

</span>V=\pi[r^{2}x-\frac{x^{3}}{3}]\right|_{-r}^{r}

Finally:
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</span>V=\pi(r^{3}-\frac{r^{3}}{3})-\pi(-r^{3}+\frac{r^{3}}{3})= \frac{4}{3} \pi r^{3}<span>
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5 0
2 years ago
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