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ELEN [110]
3 years ago
15

5 times the sum of a number and 4 equals 9

Mathematics
1 answer:
goblinko [34]3 years ago
5 0

Answer:

-2.2

Step-by-step explanation:

By using the equation 5*(4+x)=9, when you isolate x you get -2.2.

You might be interested in
X+y=3 x-y=1 find the Find the determinants
Mkey [24]

Answer:

  • D = -2
  • Dx = -4
  • Dy = -2

Step-by-step explanation:

<u>System Determinant</u>

The determinant of the system is the determinant of the matrix of coefficients:

  D=\left|\begin{array}{cc}1&1\\1&-1\end{array}\right|=(1)(-1)-(1)(1)=-2

<u>X Determinant</u>

This is the determinant of the matrix with the x-coefficients replaced by the constants.

  D_x=\left|\begin{array}{cc}3&1\\1&-1\end{array}\right|=(3)(-1)-(1)(1)=-4

<u>Y Determinant</u>

This is the determinant of the matrix with the y-coefficients replaced by the constants.

  D_y=\left|\begin{array}{cc}1&3\\1&1\end{array}\right|=(1)(1)-(3)(1)=-2

_____

This problem didn't ask, but the solution is ...

  x = Dx/D = -4/-2 = 2

  y = Dy/D = -2/-2 = 1

  (x, y) = (2, 1)

3 0
3 years ago
Can someone please help me with this geometry homework?
Leno4ka [110]

The distances between the two points, in units, are given as follows:

7. \sqrt{2}

8. 2\sqrt{17}

9. 3\sqrt{2}

10. 3\sqrt{5}

The midpoints are given as follows:

11. (7,-4.5).

12. (2,4).

13. (7,0.5).

14. (5.5,-1.5).

<h3>What is the distance between two points?</h3>

Suppose that we have two points, (x_1,y_1) and (x_2,y_2). The distance between them is given by:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For item 7, the points are (-3,-2) and (-4,-3), hence the distance is:

D = \sqrt{(-4 + 3)^2 + (-3 + 2)^2} = \sqrt{2}

For item 8, the points are (-3,1) and (5,3), hence the distance is:

D = \sqrt{(5 + 3)^2 + (3 - 1)^2} = \sqrt{68} = 2\sqrt{17}

For item 9, the points are (-3,0) and (0,-3), hence the distance is:

D = \sqrt{(0 + 3)^2 + (-3 - 0)^2} = \sqrt{18} = 3\sqrt{2}

For item 10, the points are (1,-2) and (4,4), hence the distance is:

D = \sqrt{(4 - 1)^2 + (4 + 2)^2} = \sqrt{45} = 3\sqrt{5}

<h3>What is the midpoint concept?</h3>

The midpoint between two points is the halfway point between them, and is found using the mean of the coordinates.

Hence, for item 11, the midpoint is given by:

[0.5(9 + 5), 0.5(1-10)] = (7,-4.5).

For item 12, the midpoint is given by:

[0.5(-5 + 9), 0.5(7 + 1)] = (2,4).

For item 13, the midpoint is given by:

[0.5(9 + 5), 0.5(9 - 8)] = (7,0.5).

For item 14, the midpoint is given by:

[0.5(10 + 1), 0.5(4 - 7)] = (5.5,-1.5).

More can be learned about the distance between two points at brainly.com/question/18345417

#SPJ1

8 0
2 years ago
Kevin made a jewelry box with the dimensions shown width: 15 cm length: 10 cm depth: 5 cm. what is the volume of the jewelry box
ziro4ka [17]

you need to know the mass of the jewelry box before you can know the volume but i can help you multiply th 15 and the 10 to get the mass most likely then divided what you have from 15 x 10 by the depth and you have your answer just be sure to round it off!


8 0
3 years ago
Read 2 more answers
in a right triangle, the 58cm hypotenuse makes a 51 angle with one of the legs. rounded to two decimals places, how long is that
ser-zykov [4K]

Answer:

36.50

To two decimal places

Step-by-step explanation:

The hypothenuse side in a right angle triangle has 58cm. While the angle touching one of its leg is 51°. How long is that leg.

From the right angled triangle, the size of the leg touching the hypothenuse is the adjacent side of the triangle, hence in trigonometry, the cosine rule is used, because it involves the adjacent and the hypotenuse.

Cos 51°=x/58

Let the size of the leg be x

Making x the subject

x=58(Cos51°)

x=36.500058

Correct to two decimal place

x=36.50

3 0
3 years ago
Can someone please help me on the second on please thanks:)
eimsori [14]
Since she spent $9.72 and deposited $9.72 her bank balance did not change at all. She basically paid off how much she spent on lunch on Wednesday.
7 0
3 years ago
Read 2 more answers
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