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joja [24]
3 years ago
12

Graph the equations....

Mathematics
1 answer:
Marianna [84]3 years ago
7 0
<span>(16)m=−7,</span><span>b=2</span> where m is the slope and b is the y-intercept
(17)<span>m=5,</span><span>b=4</span> where m is the slope and b is the <span>y-intercept
(18)</span><span><span>m=−1,</span><span>b=9</span> where m is the slope and b is the y-intercept
</span>(19)<span><span>m=<span>15</span>,</span><span>b=0</span> where m is the slope and b is the y-intercept
(20)</span><span><span>m=−<span>23</span>,</span><span>b=1</span> where m is the slope and b is the <span>y-intercept
</span>(21)</span><span>m=<span>43</span>,</span><span>b=−5</span> where m is the slope and b is the <span>y-intercept</span>



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The figure represents the shape of a kitchen floor. What is the area? (round to the nearest hundredth)
Murljashka [212]
We would divide the shape into a rectangle and a trapezium

The rectangle is of length, 24.5 ft and width 10.75 ft

Area =  24.5 * 10.75 = 263.375 square feet.


Trapezium :  Parallel sides are 18.5 ft and 24.5 ft
Height:  12 - 10.75 = 1.25ft

Area of Trapezium = (1/2)*(Sum of Parallel sides)*height

                            = 1/2 * (18.5+24.5)* 1.25
                            = 1/2 * 43* 1.25 = 26.875     

Total Area = Area of Rectangle + Area of Trapezium

               =  263.375 + 26.875   = 290.25

Area = 290.25 ft²     (D)
5 0
3 years ago
Read 2 more answers
What conclusions can be drawn about finding the quotient in scientific notation? Check all that apply. Start Fraction (9.6 times
Nadusha1986 [10]

The quotient of the expressions (9.6 x 10⁻⁸) and (3.2 x 10⁴) is 3.0 × 10⁻¹². Then the correct option is D.

<h3>What is division?</h3>

Division means the separation of something into different parts, sharing of something among different people, places, etc.

The expressions are given below.

(9.6 x 10⁻⁸) and (3.2 x 10⁴)

Then the quotient of the expressions will be

⇒ (9.6 x 10⁻⁸) / (3.2 x 10⁴)

⇒ (3 x 10⁻⁸) / (10⁴)

⇒ 3 x 10⁻⁸ x 10⁻⁴

⇒ 3 x 10⁻⁸⁻⁴

⇒ 3 x 10⁻¹²

Then the correct option is D.

More about the division link is given below.

brainly.com/question/369266

#SPJ1

3 0
2 years ago
suppose that y varies jointly with x and z. Find your when x=3 and z=5 , given that y=72 when x=6 and z=4
Hitman42 [59]
Y α xz

y = kxz             y = 72, when x = 6, and z = 4

72 = k*6*4

72 = k*24

24k = 72

k = 72/24

k = 3.

<span>y = kxz    
</span>
<span>y = 3xz    </span>

Finding y, when x = 3, z = 5.

y = 3xz

y = 3*3*5

y = 45
3 0
3 years ago
Select the simplification that accurately explains the following statement.<br> (from clever)
gavmur [86]

Answer:

OPTION C

Step-by-step explanation:

We know that $  (\textbf{x}^{\textbf{a}} )^{\textbf{b}} \hspace{5mm}  \textbf{=} \hspace{5mm} \textbf{x}^{\textbf{a . b}} $

Also, $ \textbf{x}^{\textbf{a}}. \textbf{x}^{\textbf{a}}  \textbf{=} \textbf{x}^{\textbf{a + a}} \textbf{=} \textbf{x}^{\textbf{2a}}  $

Using the above two results, we can say that:

$ \sqrt{9} = 9^{\frac{1}{2}} $

$ \bigg ( 9^{\frac{1}{2}} \bigg )^2 = 9^{\frac{1}{2}}. 9^{\frac{1}{2}} $

$ = 9^{\frac{1}{2} + \frac{1}{2}} $            (Using (ii) result)

$ = 9^{1} = \textbf{9} $

Hence, OPTION C is the correct answer.

8 0
2 years ago
How to find A1 in a geometric series for which sn= 105, r=-2 and n=6
inna [77]
Here we're discussing the "nth partial sum of a geom series."

                                                        1 - r^n
The formula for that is s(n) = a(1) --------------- 
                                                          1-r

We can subst. the given values and see where that takes us:

                   1 - (-2)^6        1 - 64
105 = a(1)*---------------- = ----------*a(1)  =  -21*a(1)
                     1-(-2)                3

                                               105
Solving this for a(1):  a(1) = --------- = -5    (answer)
                                               -21
6 0
3 years ago
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