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ohaa [14]
4 years ago
9

Which is the equation of a line that is perpendicular to 8x + 6y = –5?

Mathematics
1 answer:
IrinaVladis [17]4 years ago
4 0

The perpendicular line will have an equation of y=3/4x-3/4

To find this, we first have to solve our equation for slope intercept form.

8x + 6y = -5 ----> subtract 8x

6y = -8x + -5 ----> divide by 6

y = -4/3x - 5/6.

So we know the slope of this equation to be -4/3. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of 3/4. Since B is the only option with that slope, we know it to be the correct answer.

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9. The figure shows a rectangle with its length and
lora16 [44]

Answer:

875cm^2

Step-by-step explanation:

since opposite sides are equal

3x-y=2x+y

x=2y                                                      

y=x/2                                                                      ....(i)

thus new length=2x+y

=2x+(x/2)                                                              [using (i)]

=(4x+x)/2

l=5x/2                                                                   .....(ii)

now,

perimeter=2(l+b)=120cm

l+b=60cm            

from figure and using (ii)

[5x/2]+2x-3=60

[5x+4x-6]/2=60

9x-6=120

9x=126

x=126/9

x=14                                                                 ..........(iii)

substitute (iii) in (i)

y=14/2

y=7                                                                  ...........(iv)

From figure,

length=2x+y                                                   [using (iii) and (iv)]

=2x14+7

length=35cm

breadth=2x-3

=2x14-3                                                          ....[using(iii)]

=28-3

breadth=25cm

now,

Area=lxb

=35x25

=875cm^2

7 0
3 years ago
Each point on the edge of a circle is equidistant from the center of the circle. The center of a circle is located at (6,3). Whi
PolarNik [594]

Answer:

(0, -5)

Explanation:

The answer is (0, -5) on Edge 2020

have a great rest of your day!! \(^u^\)

4 0
3 years ago
Read 2 more answers
A waiter earns $128 for six hours of work. The total included $86 in tips. How much does the waiter earn each hour??A waiter arm
Lady bird [3.3K]

Answer:

The waiter earns $7 per hour

Step-by-step explanation:

In this question, we are asked to calculate the amount a waiter earns per hour at work given the total he had earned including tips.

To solve this question, we can see that we have been given the total amount he has earned and also the amount he has also earned in tips.

Now, to get the standard amount he’s supposed to earn per hour, firstly, we have to subtract the amount he has earned in tips from the total. Mathematically that is 128-86 = $42

This means, by standard he has earned $42 in six hours. Now, we need to calculate the amount she earns by hour.

To do this, we simply divide the total amount earned by the number of hours.

Mathematically that is $42/6 hours = $7 per hour

4 0
3 years ago
Read 2 more answers
16 #5) Describe the error in finding the value of x. ​
Lera25 [3.4K]
They forgot 90. Add 90 to the equation to make it correct.
5 0
3 years ago
What is the approximate area of the shaded sector in the circle shown below
harina [27]

Answer:

Option A. 283 cm²

Step-by-step explanation:

to find the area of the shaded sector, we use the formula:

 \frac{\text{angle given}}{360^\circ}\times \text{area of the circle}

where area of the circle = πr²

∴ for the given circle,

\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2

                            =  \frac{100}{360}\times 3.14\times 18\times 18

                            = \frac{100}{360}\times 1017.36

                            = 282.6

                            ≈ 283 cm²

The approximate area of the shaded sector is 283 cm².

4 0
3 years ago
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