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lions [1.4K]
3 years ago
15

Necesito tornillos de 5 cm para reparar un mueble. En la tlapalería los miden en pulgadas. ¿Cuál de las siguientes medidas es la

más cercana a la que necesito?
Mathematics
1 answer:
Gelneren [198K]3 years ago
5 0

Answer:

10 es una amigo es una cercana

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Which of the following is a quadratic equation that has the roots x = 2 and x = −7? (4 points)
crimeas [40]

Answer:

x^2 + 5x - 14

Step-by-step explanation:

We can assume that if there is 2 options for x, this is a quadratic equation that equals 0.

Therefore, we can put this into brackets as one bracket must equal 0.

(x - 2) (x + 7)

After this we expand, which is a process easier to search up

The answer is:

x^2 + 7x - 2x - 14

We can simplify this to:

x^2 + 5x - 14

x^2 represents x squared in case you were wondering

Therefore, the answer is:

x^2 + 5x - 14

8 0
2 years ago
Triangle ABC has vertices at A(2,3),B(-4,-3) and C(2,-3) find the coordinates of each point of concurrency.
dem82 [27]

Answer:

Circumcenter =(-1,0)

Orthocenter =(2,-3)

Step-by-step explanation:  

Given : Points A = (2,3), B = (-4,-3), C = (2,-3)  

Formula used :  

→Mid point of two points- (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

→Slope of two points - \frac{y_2-y_1}{x_2-x_1})

→Perpendicular of a line = \frac{-1}{slope of line})

Circumcenter- The point where the perpendicular bisectors of a triangle meets.

Orthocenter-The intersecting point for all the altitudes of the triangle.

To find out the circumcenter we have to solve any two bisector equations.

We solve for line AB and AC

So, mid point of AB =(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)

Slope of AB =\frac{-3-3}{-4-2}=1

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of the perpendicular bisector = -1  

Equation of AB with slope -1 and the coordinates (-1,0) is,  

(y – 0) = -1(x – (-1))  

y+x=-1………………(1)  

Similarly, for AC  

Mid point of AC = (\frac{2+2}{2},\frac{3-3}{2})=(2,0)

Slope of AC = \frac{-3-3}{2-2}=\frac{-6}{0}  

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of the perpendicular bisector = 0  

Equation of AC with slope 0 and the coordinates (2,0) is,  

(y – 0) = 0(x – 2)  

y=0 ………………(2)  

By solving equation (1) and (2),  

put y=0 in equation (1)

y+x=-1

0+x=-1

⇒x=-1  

So the circumcenter(P)= (-1,0)

To find the orthocenter we solve the intersections of altitudes.

We solve for line AB and BC

So, mid point of AB =(\frac{2-4}{2},\frac{3-3}{2})=(-1,0)

Slope of AB =\frac{-3-3}{-4-2}=1

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of CF = -1  

Equation of AB with slope -1 and the coordinates (-1,0) gives equation CF  

(y – 0) = -1(x – (-1))  

y+x=-1………………(3)  

Similarly, mid point of BC =(\frac{-4+2}{2},\frac{-3-3}{2})=(-1,-3)

Slope of AB =\frac{-3+3}{-4-2}=0

Slope of the bisector is the negative reciprocal of the given slope.  

So, the slope of AD = 0

Equation of AB with slope 0 and the coordinates (-1,-3) gives equation AD

(y-(-3)) = 0(x – (-1))  

y+3=0

y=-3………………(4)  

Solve equation (3) and (4),

Put y=-3 in equation (3)

y+x=-1

-3+x=-1

x=2

Therefore, orthocenter(O)= (2,-3)


7 0
3 years ago
a company borrowed 25,000 and was charges 3.5% and was charged 2,625 in interet...how long was it before the company repaid the
Sladkaya [172]
We'll have to assume that interest is charged annually.

interest = i = p*r*t, where p is the initial amount ($25000), r is the annual interest rate as a decimal fraction, and t is the length of time, in years.

Then  $2625 = $25000*0.035*t.  Solve for t:

$2625
------------ = 0.035t   =  0.105.  Dividing both sides by 0.035, we get
$25000

t = 3 years (answer)
7 0
3 years ago
There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?
ValentinkaMS [17]
Hello there.

<span>There are 24 pizzas. each person gets 1/3 of a pizza. how many people can be fed from the 24 pizzas?

Answer: There are 3 thirds in a whole.
Therefore 3 people could be fed by 1 pizza.
Since there are 24 , multiply 3 by 24.
3 x 24 =  72.
The number of people that could be fed from the 24 pizzas is 72.

Hope This Helps You!
Good Luck Studying ^-^</span>
6 0
3 years ago
A random sample of 200 teenagers participated in a taste test. Each teenager sampled four choices of fruit drink (labeled A, B,
Vedmedyk [2.9K]

Answer:

it is c hope it helps have a good day

6 0
3 years ago
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