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3 years ago

Solve this equation 2(x + 2)/3 = 6

Mathematics

1 answer:

Naddik [55]3 years ago

3 0

Answer:

Step-by-step explanation:

2(x + 2)/3 = 6

multiply by : 3

2(x + 2) = 18

2x+4 = 18

2x = 18-4=14

x=14/2

x=7

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By noon, the temperature increased 21 from the morning low -13 what was was the tempature noon

torisob [31]

-13+21=14
The temperature is 14 degrees during your afternoon.

5 0

3 years ago

Kelsey told her hired hand Hanna to gather eggs from the henhouse. Hanna collected 30 eggs and brought

CaHeK987 [17]

Answer:

12 eggs

Step-by-step explanation:

Total no. of eggs collected=30

Percentage of eggs broken=40%

No. of eggs still good:-

40/100×30

=)0.4×30

=)12eggs

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5 0

2 years ago

Which equation is y = 9x2 + 9x – 1 rewritten in vertex form?

Anastasy [175]

Answer:

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

Step-by-step explanation:

An equation in the vertex form is written as

$y = a (x-h) + k$

Where the point (h, k) is the vertex of the equation.

For an equation in the form $ax ^ 2 + bx + c$ the x coordinate of the vertex is defined as

$x = -\frac{b}{2a}$

In this case we have the equation $y = 9x^2 + 9x - 1$ .

Where

$a = 9\\\\b = 9\\\\c = -1$

Then the x coordinate of the vertex is:

$x = -\frac{9}{2(9)}\\\\x = -\frac{9}{18}\\\\x = -\frac{1}{2}$

The y coordinate of the vertex is replacing the value of $x = -\frac{1}{2}$ in the function

$y = 9 (-0.5) ^ 2 + 9 (-0.5) -1\\\\y = -\frac{13}{4}$

Then the vertex is:

$(-\frac{1}{2}, -\frac{13}{4})$

Therefore The encuacion excrita in the form of vertice is:

$y = a(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

To find the coefficient a we substitute a point that belongs to the function $y = 9x^2 + 9x - 1$

The point (0, -1) belongs to the function. Thus.

$-1 = a(0 + \frac{1}{2}) ^ 2 -\frac{13}{4}$

$-1 = a(\frac{1}{4}) -\frac{13}{4}\\\\a = \frac{-1 +\frac{13}{4}}{\frac{1}{4}}\\\\a = 9$

<em>Then the written function in the form of vertice is</em>

$y = 9(x +\frac{1}{2}) ^ 2 -\frac{13}{4}$

7 0

3 years ago

Solve the system using any method.<br> x= - 4y+7<br> -2y+3x=9

Arte-miy333 [17]

The solution to the given system of equation is (25/7, 6/7)

<h3>System of equation</h3>

Given the system of equation expressed as:

x= - 4y+7 ........... 1

-2y+3x=9 ...........2

Substitute the equation 1 into 2 into have:

-2y + 3(-4y+7) = 9

-2y + 3(-4y) + 3(7) = 9

-2y - 12y + 21 = 9

Collect the like terms

-14y = 9- 21

-14y = -12

y = 6/7

Substitute y = 6/7 into equation 1;

x =-4y + 7

x = -4(6/7) + 7

x= -24/7 + 7

x = -24+49/7

x = 25/7

Hence the solution to the given system of equation is (25/7, 6/7)

Learn more on system of equation here; brainly.com/question/14323743

#SPJ1

6 0

2 years ago

the length of a tangent from a point a at distance 5 cm from the centre of the circle is 4 cm find the radius of the circle

Semenov [28]

The radius of the circle is 3 cm.

<u>Step-by-step explanation:</u>

Refer the attached diagram, the circle with centre O. In that given, AB is tangent given as 4 cm and distance of point from the circle, OA = 5 cm

As AB is tangent, OB (radius of circle) is perpendicular to AB (tangent at any point of circle). Therefore the angle of OBA is 90 degree.

Also, triangle OAB is a right angled triangle (refer attached diagram). By using Pythagoras theorem in right angled triangle,

$(\text {Hypotenuse})^{2}=(\text {Height})^{2}+(\text {Base})^{2}$

$(O A)^{2}=(O B)^{2}+(A B)^{2}$

Substitute the given values in the above expression, we get

$(5)^{2}=(O B)^{2}+(4)^{2}$

$(O B)^{2}=25-16=9$

Taking square root on both side, we get

Radius of the circle, OB = 3 cm

5 0

3 years ago