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3 years ago

Choose Yes or No to tell if each equation is true. 2,000 km = 2 m 2,000 mm = 2 m 20 cm = 200 mm 20 m = 2,000 cm

Mathematics

1 answer:

krok68 [10]3 years ago

3 0

Answer:

1. No 2.Yes 3.No 4.Yes

Step-by-step explanation:

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Use completing the square to solve for x in the equation (x-12)(x+4)= 9.

iragen [17]

Answer:

x = 4 + sqrt(73) or x = 4 - sqrt(73)

Step-by-step explanation by completing the square:

Solve for x:

(x - 12) (x + 4) = 9

Expand out terms of the left hand side:

x^2 - 8 x - 48 = 9

Add 48 to both sides:

x^2 - 8 x = 57

Add 16 to both sides:

x^2 - 8 x + 16 = 73

Write the left hand side as a square:

(x - 4)^2 = 73

Take the square root of both sides:

x - 4 = sqrt(73) or x - 4 = -sqrt(73)

Add 4 to both sides:

x = 4 + sqrt(73) or x - 4 = -sqrt(73)

Add 4 to both sides:

Answer: x = 4 + sqrt(73) or x = 4 - sqrt(73)

4 0

4 years ago

Assume that lines that appear to be tangents are tangents. O is the center of the circle.

scoray [572]

Answer: the value of x is 45

Step-by-step explanation: its a little bit bigger than the 40 on the right

8 0

3 years ago

The width of a box is two-third of it's length and height is one-third of it's length.If the volume of the box is 384 cubic mete

Black_prince [1.1K]

Answer:

Length = 12

Width = 8

Height = 4

Step-by-step explanation:

Let length of box = l

Width = 2/3 * l

Height = 1/3 * l

Volume of the box = 384 ft³

Volume = Length * width * height

Volume of box = l * 2/3 l * 1/3 l

384 = 2l³ / 9

384 * 9 = 2l³

3456 = 2l³

l³ = 3456 / 2

l³ = 1728

Take the Cube root of 1728

l = 12

Length = 12

Width = 2/3 * 12 = 8

Height = 1/3 * 12 = 4

5 0

3 years ago

If possible, find AB. & State the dimension of the result.

Nikitich [7]

Answer:

Step-by-step explanation:

$A=\begin{bmatrix}0 &0 &5 \\ 0 &0 &-3 \\ 0 &0 &3 \end{bmatrix}$

$B=\begin{bmatrix}8 &-12 &5 \\ 7 &19 &5 \\ 0 &0 &0 \end{bmatrix}$

A.B = A × B

$A.B=\begin{bmatrix}0 &0 &0 \\ 0 &0 &0 \\ 0 &0 &0 \end{bmatrix}$

Dimension of the resultant matrix is (3 × 3)

3 0

3 years ago

The formula A equals =P left parenthesis 1 plus r right parenthesis squared (1+r)2 gives the amount A in dollars that P dollars

vlabodo [156]

The interest rate is 3.5%.

EXPLANATION

We substitute the given values into the formula;

$A=P(1+\frac{r}{100})^t$

to obtain

$6427.35=6000(1+\frac{r}{100})^2$

We divide through by 6000 to obtain,

$\frac{6427.35}{6000}=(1+\frac{r}{100})^2$

This implies that,

$1.071225=(1+\frac{r}{100})^2$

We take the square root of both sides,

$\sqrt{1.071225}=(1+\frac{r}{100})$

This gives us,

$1.035=(1+\frac{r}{100})$

Add -1 to both sides of the equation to obtain

$0.035=\frac{r}{100}$

Multiply through by 100 to obtain;

$r=3.5$ %

$Therefore the rate is 3.5%$

3 0

3 years ago