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charle [14.2K]
3 years ago
10

X + 8 = -15 What does x= ???

Mathematics
1 answer:
lawyer [7]3 years ago
6 0

Answer: x=−23

Step-by-step explanation:

Let's solve your equation step-by-step.

x+8=−15

Step 1: Subtract 8 from both sides.

x+8−8=−15−8

x=−23

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A university is building a new student center that is two- thirds the distance from the arts center to the residential complex.
Natasha2012 [34]

Answer:

C = (\frac{21}{5},\frac{33}{5})

Step-by-step explanation:

Given

Points: (1, 9) and (9, 3)

Ratio = 2/3

Required

Determine the coordinate of the center

Represent the ratio as ratio

Ratio = 2:3

The new coordinate can be calculated using

C = (\frac{mx_2 + nx_1}{n + m},\frac{my_2 + ny_1}{n + m})

Where

(x_1,y_1) = (1, 9)

(x_2, y_2) = (9, 3)

m:n = 2:3

Substitute these values in the equation above

C = (\frac{2 * 9 + 3 * 1}{3 + 2},\frac{2 * 3 + 3 * 9}{2 + 3})

C = (\frac{18 + 3}{5},\frac{6 + 27}{5})

C = (\frac{21}{5},\frac{33}{5})

Hence;

<em>The coordinates of the new center is </em>C = (\frac{21}{5},\frac{33}{5})<em></em>

7 0
2 years ago
Plz help me I’m really confused!
777dan777 [17]

1:

E F and J K

2:

Point A to point B

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3 0
2 years ago
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Denzel wants to work out the density of a block of wood the block of wood is in the shape of the cuboid
marishachu [46]

Answer:

Density = 1.094g/cm^3

Step-by-step explanation:

Given

Length = 17.7cm

Width = 8.3cm

Height = 13.0cm

Mass = 2090g

See attachment

Required

Determine the density of the wood

First, we calculate the volume of the wood.

Volume = Length * Width * Height

Substitute values for Length, Width and Height

Volume = 17.7cm * 8.3cm * 13.0cm

Volume = 1909.83cm^3

The density is:

Density = \frac{Mass}{Volume}

Density = \frac{2090g}{1909.83cm^3}

Density = 1.094g/cm^3<em> --- approximated</em>

5 0
2 years ago
Find 2 numbers who product is 15 and sum is 16.​
Marizza181 [45]

Answer:

15 and 1

Step-by-step explanation:

x and y are two numbers.

Two equations:

x · y = 15

x + y = 16

Rearrange one of the equations (I'll rearrange the sum equation):

x + y = 16

x = 16 - y

Substitute that to the other equation and solve for y:

x · y = 15

(16 - y) · y = 15

16 - y · y = 15

16 - y² = 15

-y² = 15 - 16

-y² = -1

y² = 1

y = √1

y = 1

Now substitute that to any of the equation and solve for x (in here, I'll choose the multiplication one):

x · y = 15

x · 1 = 15

x = 15

Now verify:

15 · 1 = 15

15 + 1 = 16

This is correct

6 0
3 years ago
Help please !! i will give brainliest
grin007 [14]

Answer:

k = \frac{5}{6}

Step-by-step explanation:

The scale factor is calculated as the ratio of corresponding sides, figure on right to figure on left, that is

k = \frac{30}{36} = \frac{5}{6} ← in simplest form

6 0
2 years ago
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