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3 years ago

Drag the tiles to the boxes to form correct pairs

Mathematics

1 answer:

Allisa [31]3 years ago

7 0

Answer:

1st question : m C : 28

b : 7.06

c : 3.76

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Point E is located at (−1, 6) and point F is located at (3, 9)

Mars2501 [29]

Answer:

$(x,y)=(\frac{7}{5},\frac{39}{5})$

Step-by-step explanation:

We have given:

E is (-1,6) and F is (3,9)

And ratios are 3:2

We will use the section formula to find the required coordinates:

section formula= $(\frac{m_1x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2})$

Here, $m_1=3,m_2=2,x_1=-1,x_2=3,y_1=6,y_2=9$

On substituting the values in the formula we get:

$(x,y)=(\frac{3\cdot 3+2\cdot (-1)}{3+2},\frac{3\cdot 9+2\cdot 6}{3+2})$

$\Rightarrow (x,y)=(\frac{9-2}{5},\frac{27+12}{5}$

$\Rightarrow (x,y)=(\frac{7}{5},\frac{39}{5})$

Hence, required coordinates are: $(x,y)=(\frac{7}{5},\frac{39}{5})$

6 0

4 years ago

Match the products of rational expressions with their simplest forms.

Alborosie

Lets simplify each one of the rational expressions using the product rule of exponents: $a^n*a^m=a^{n+m}$ and the quotient rule of exponents: $\frac{a^n}{a^m} =a^{n-m}$ .

1. $\frac{-3x^2}{2y^2} * \frac{y^2}{9x} =- \frac{x}{6} = \frac{-1}{6} x$

2. $\frac{5y^2}{10x^2} * \frac{4x^2}{y} =2y$

3. $\frac{-9y^2}{5x} * \frac{-10x^2}{3y} =6xy$

4. $\frac{14x^2}{5y} * \frac{-10y}{7x} =-4x$

We can conclude that you should pair the rational expressions with their simplest form as follows:
$6xy-----\ \textgreater \ \frac{-9y^2}{5x} * \frac{-10x^2}{3y}$
$\frac{-1}{6} x-----\ \textgreater \ \frac{-3x^2}{2y^2} * \frac{y^2}{9x}$
$-4x-----\ \textgreater \ \frac{14x^2}{5y} * \frac{-10y}{7x}$
$2y-----\ \textgreater \ \frac{5y^2}{10x^2} * \frac{4x^2}{y}$

7 0

3 years ago

Given b = 12, c = 15 and A = 60° in triangle ABC, use the Law of Cosines to solve for a. Fill in the blank(s) to complete each s

Evgen [1.6K]

A^2 = b^2 + c^2 -2bc * cos(A)
a^2 = 144 + 225 -360 * .5
a^2 = 189
a = 13.748

7 0

4 years ago

Read 2 more answers

An airplane travels 4020 kilometers against the wind in 6 hours and 4800 kilometers with the wind in the same amount of time. Wh

Ahat [919]

Answer:

Rate of plane 735 km/hr

Rate of wind 65 km/hr

Step-by-step explanation:

Calculation to determine the rate of the plane in still air

Let Va represent the velocity of the airplane

Let Vw represent the velocity of the wind

When flying with the wind:

(Va+Vw)*(6 hours) = 4800

6Va + 6Vw = 4800

6Vw = 4800 - 6Va

Vw=4800/6-Va

Vw = 800 - Va

When flying against the wind:

(Va-Vw)*(6 hours) = 4020 km

6Va - 6Vw = 4020

Substitute 800-Va for Vw and solve for Va:

6Va - 6(800-Va) = 4020

6Va -4800 + 6Va = 4020

12Va = 8820

Va=8820/12

Va = 735 km/hr

Therefore the rate of the plane in still air is 735 km/hr

Calculation to determine the rate of the wind

Rate of wind:

Vw = 800 - Va

Vw= 800 -735

Vw= 65 km/hr

Therefore the rate of the wind is 65 km/hr

5 0

3 years ago

Alex is making puppets for a show. He bought all the string needed for $125.It costs $18 for the remaining materials to make eac

eimsori [14]

Answer:

900

Step-by-step explanation:

4 0

4 years ago

Read 2 more answers