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3 years ago

I need help on these two

Mathematics

1 answer:

AlladinOne [14]3 years ago

6 0

Answer:

For the first one the diameter is 22. Circumference is 69.08. Area is 379.94

Second question is radius is 12. Circumference is 75.36. Area is 452.16

Step-by-step explanation:

Radius = d/2

Diameter = r*2

Circumference = 3.14*d

Area = r^2*3.14

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Write a quadratic equation given the roots -1/3 and 5, show your work

Travka [436]

$\boxed{(x - a)(x - b) = 0}$

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

$x = - \frac{1}{3} \\ x = 5$

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

$(x + \frac{1}{3} )(x - 5) = 0$

Here we can convert the expression x+1/3 to this.

$x + \frac{1}{3} = 0 \\ 3x + 1 = 0$

Rewrite the equation.

$(3x + 1)(x - 5) = 0$

Simplify by multiplying both expressions.

$3 {x}^{2} - 15x + x - 5 = 0 \\ 3 {x}^{2} - 14x - 5 = 0$

Answer Check

Substitute the given roots in the equation.

$3 {(5)}^{2} - 14(5) - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0$

$3( - \frac{1}{3} )^{2} - 14( - \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) + \frac{14}{3} - 5 = 0 \\ \frac{1}{3} + \frac{14}{3} - \frac{15}{3} = 0 \\ \frac{15}{3} - \frac{15}{3} = 0 \\ 0 = 0$

The equation is true for both roots.

Answer

$\large \boxed {3 {x}^{2} - 14x - 5 = 0}$

8 0

2 years ago

What is the slope of the line y = -5 - 3x ? o 3 O 5 0 -3 0 -8

nexus9112 [7]

Answer:

we need to see the plane

Step-by-step explanation:

but, its 0 -8

3 0

3 years ago

swati won a Computer game that she played with matt. The sum of the scores was 754. The difference of there scores was 176. How

klio [65]

Answer:

Swati - 465 , Matt - 289

Explanation:

Let Swati's score be x and Matt's score be y.

Since Swati won the game her score is obviously higher.

We are given the sum and difference between their scores which we can write as , x + y = 754 and x - y = 176.

Solving these two equations by adding them we get 2x = 930 so x = 465. Substituting x in x - y = 176 we get y = 289

Thus Swati scored 465 points and Matt scored 289 points.

5 0

3 years ago

Is the point (1, -3) a solution to the system? Show all work

Studentka2010 [4]

Answer:

The point P(1,-3) is not a solution to the system.

Step-by-step explanation:

Given $\left \{ {{y-x+2}} \right.$

Let a point be P(1,-3)

Here x = 1 ; y = -3

Substituting the values of x,y in the function

$\left \{ {{y-x+2}} \right.$

For y<x-1

-3 < 1-1

-3<0 (True)

now for,

y>-x+2

-3 > -1 + 2

-3 > 1 (False)

Hence the point is not a solution to the system.

6 0

3 years ago

Luis and Berto sell TVs. Last month berto sold 15 more TVs. Together they sold 163. How many TVs did Luis sell?

Juli2301 [7.4K]

Luis sold 148 TVs.

Step-by-step explanation:

163-15=148

3 0

3 years ago