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1 year ago

Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept 1.

Mathematics

1 answer:

Arada [10]1 year ago

3 0

Answer:

y = 4/3x + 1

<u>Hope this helps :)</u>

Step-by-step explanation:

The slope-intercept form is y = mx + b.

m = the slope which is 4/3

b = the y-intercept which is 1

So to substitute the numbers in, the final equation would be y = 4/3x + 1

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(3a^3b^-2c^0d)^3/6a^3b^-8c*b^2d

Norma-Jean [14]

Answer:

$4.5a^6d^2$

Step-by-step explanation:

Use:

$(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}\\\\a^0=1\ for\ a\neq0$

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$\dfrac{(3a^3b^{-2}c^0d)^3}{6a^3b^{-8}c\cdot b^2d}=\dfrac{3^3(a^3)^3(b^{-2})^3(1^3)d^3}{6a^3b^{-8+2}d}=\dfrac{27a^9b^{-6}d^3}{6a^3b^{-6}d}\\\\=\dfrac{27}{6}a^{9-3}b^{-6-(-6)}d^{3-1}=4.5a^6b^0d^2=4.5a^6d^2$

5 0

3 years ago

This composite figure is created by placing a sector of a circle on a rectangle. What is the area of this

Leviafan [203]

The area of the composite figure is 29.92 m².

<h3>Area of Compound Shapes</h3>

This exercise requires your knowledge about the area of compound shapes. For solving this, you should:

Identify the basic shapes;
Calculate your individual areas;
Sum each area found.

For finding the area, the steps are presented below.

STEP 1 - Identify the basic shapes.

The figure of the question as informed is composed for a sector of circle and a rectangle. Therefore, you should sum the area of these geometric figures.

STEP 2 - Find the area of the sector of circle.

Area of the sector of circle= $\frac{\theta \cdot \pi }{360}\cdot r^2$ , where:

r= 5.5 m

Θ=30°

Then,

$\frac{\theta \cdot \pi }{360}\cdot r^2\\ \\ \frac{\;30\cdot \pi }{360}\cdot 5.5^2=7.92 m^2$

STEP 3 - Find the area of the rectangle.

Area of the rectangle= $b*h$ . The figure shows:

b= length of the base= 5.5 m

h=height= 4 m

Thus, the area of the rectangle= $5.5*4=22m^2$ .

STEP 4 - Find the composite figure

$A_{composite\; figure}=A_{sector\; circle}+A_{rectangle}\\ \\ A_{composite\; figure}=7.92+22=29.92\; m^2$

Learn more about the area of compound shapes here:

brainly.com/question/15884960

6 0

2 years ago

Help!!! <br> 1/3x - 3/4 + 5/6x = -2

Alex73 [517]

Answer:

x=-15/14

Step-by-step explanation:

1/3x+5/6x=-2+3/4

7/6x=-5/4

x=-15/14

3 0

2 years ago

the second term in an arithmetic sequence is 10 and the fifth term is 22. If the first term is a1, what is an equation for the n

Tcecarenko [31]

In an arithmetic sequence, the nth term is the first term + (n-1)* difference
the fifth term=the second term +(5-2)*difference
22=10+3d
d=4
the first term=the second term-the difference=10-4=6
the nth term =6+4(n-1) or or 10+4(n-2),

8 0

3 years ago

Djxjicjcjcicifiddiciicifididididjdjhhh

Sedbober [7]

Answer:

Step-by-step explanation:

Let the unknown number be = x

Then,

x + 16 = 34

=> x = 34 - 16

=> x = 18 (Ans)

7 0

3 years ago

Read 2 more answers