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Paul [167]
3 years ago
7

What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the poin

t (–12, 10)?
a.y = x – 6
b.y = x + 6
c.y = x + 26
d.y = x + 10
Mathematics
1 answer:
Ostrovityanka [42]3 years ago
5 0
Y= 3/4x - 2   (-2,10)= (x1,y1)
The slope is -4/3 of the perpendicular line:
Then:
y-y1=m(x-x1)
y-10=(-4/3)(x+2)
y=-(4/3)x -8/3 +10
y= -(4/3)x +22/3 (That's the answer)
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How many acute, obtuse, and right angles are in this figure?
Tanya [424]
Hey!


I hope you don't mind, but before I answer this question I'd like to do a quick review of some general angles and how to tell which is which.

<span><em><u /></em><span><em><u>QUICK REVIEW</u></em>
</span></span>
So, let's first review what an acute angle is. An acute angle is an angle that is smaller than 90<span>°. The word acute basically means having a sharp or pointy end. So this is a helpful way to remember what an acute angle is.

Now, let's review what an obtuse angle is. An obtuse angle is an angle that is more than 90</span>°. If an angle measures over 90<span>° that it is more than likely that it is an obtuse angle.

Last but not least a right angle. A right angle is an angle that has to be exactly 90</span>°. If an angle is 90<span>° than it is most definitely a right 

<span><em><u /></em><span><em><u>END QUICK REVIEW</u></em>
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Let's start by finding out the angle in the top left hand corner. The angle is clearly no more that 90</span>° and is not 90° exactly. This angle must be an acute angle. We can also tell that it is an acute angle because the angle is sharp.

Now let's look at the angle on the bottom left hand corner. The angle is clearly no less than 90° and more than 90° exactly. This angle must be an obtuse angle.

Since the angles are basically the same on the other side, we won't be reviewing those. Now we'll count all the angles we have.

Acute Angles - 2

Obtuse Angles - 2

Right Angles - 0

<em>So, this means that in the figure shown above,</em>  there are 2 acute angles, 2 obtuse angles, and no right angles.

Hope this helps!


- Lindsey Frazier ♥
4 0
3 years ago
What is the common difference of 80,60,45,33.75
GenaCL600 [577]

Answer:

The common difference (or common ratio) = 0.75

Step-by-step explanation:

i) let the first term be a_{1} = 80

ii) let the second term be a_{2}  = a_{1} . r = 80 × r = 60      ∴  r = \frac{60}{80} = 0.75

iii) let the third term be     a_{3}  = a_{2} . r = 60 × r = 45      ∴  r = \frac{45}{60} = 0.75

iv) let the fourth term be   a_{4} = a_{3} . r = 45 × r = 33.75   ∴ r = \frac{33.75}{45} = 0.75

Therefore we can see that the series of numbers are part of a geometric progression and the first term is 80 and the common ratio = 0.75.

4 0
3 years ago
If a/\2+1/a/\2=11, then a+1/a=?
Nadya [2.5K]

Answer:

\pm \sqrt{13}

Step-by-step explanation:

\bigg(a +  \frac{1}{a}  \bigg)^{2} =  {a}^{2}   +  \frac{1}{ {a}^{2} }  + 2 \times a \times  \frac{1}{a}  \\  \\ \bigg(a +  \frac{1}{a}  \bigg)^{2} = 11 + 2 \\  \\   \bigg(a +  \frac{1}{a}  \bigg)^{2} = 13 \\  \\  \bigg(a +  \frac{1}{a}  \bigg) =  \pm \sqrt{13}

5 0
3 years ago
the price of a pair of shoes increases from $50 to $64. What is the percent increase. Please Help, god bless
Vera_Pavlovna [14]

Answer:

Step 1: Calculate the change by subtracting old cost ($50) from the new cost ($64)

Step 2: Divide that change by the old cost ($50).  You will get a decimal number

Step 3: Convert the decimal number to a percentage by multiplying by 100%

Step-by-step explanation:

Try this first

3 0
2 years ago
What is the order pair for y=1/3x
IRISSAK [1]

Answer:

Step-by-step explanation:

y is always (1/3) of x.

Thus, if x = 0, y = 0; if x = 1, y = (1/3)(1) = 1/3, and so on.  The corresponding ordered pairs are (0, 0), (1, 1/3), (-2, -2/3)

5 0
2 years ago
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