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elena-14-01-66 [18.8K]
3 years ago
11

andy writes an addition fact one addend is 9. the sum is 17.. what is the other addend? write the addition fact.

Mathematics
2 answers:
professor190 [17]3 years ago
7 0
x-\ other\ added\ number\\\\
x+9=17\ \ \ | subtract\ 9\\\\
x=8\\\\Searched\ number\ is\ equal\ to\ 8.
sertanlavr [38]3 years ago
4 0

Answer:

8

Step-by-step explanation:

17 - 9 = 8

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Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2). What is the area of the triangle? a 18 square units b 9 square unit
natka813 [3]

Answer:

Option C. 6 square units

Step-by-step explanation:

we know that

Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.  

Let  

a,b,c be the lengths of the sides of a triangle.  

The area is given by:

A=\sqrt{p(p-a)(p-b)(p-c)}

where

p is half the perimeter

p=\frac{a+b+c}{2}

we have

Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

d=\sqrt{(-3-1)^{2}+(-2+2)^{2}}

d=\sqrt{(-4)^{2}+(0)^{2}}

dAB=4\ units

step 2

Find the distance BC

d=\sqrt{(-2+3)^{2}+(1+2)^{2}}

d=\sqrt{(1)^{2}+(3)^{2}}

dBC=\sqrt{10}\ units

step 3

Find the distance AC

d=\sqrt{(-2-1)^{2}+(1+2)^{2}}

d=\sqrt{(-3)^{2}+(3)^{2}}

dBC=\sqrt{18}\ units

step 4

a=AB=4\ units

b=BC=\sqrt{10}\ units

c=AC=\sqrt{18}\ units

Find the half perimeter p

p=\frac{4+\sqrt{10}+\sqrt{18}}{2}=5.70\ units

Find the area

A=\sqrt{5.7(5.7-4)(5.7-3.16)(5.7-4.24)}

A=\sqrt{5.7(1.7)(2.54)(1.46)}

A=\sqrt{35.93}

A=6\ units^{2}

7 0
3 years ago
An observation deck extends 120 feet out above a valley. The deck sits 70 feet above the valley floor. If an object is dropped f
Rzqust [24]

Answer:

2

Step-by-step explanation:

The height formula given is:

h = -16t^2 + 70

That means the object will be initially (t=0) at the height 70 feet, from where it will be dropped.

If we want to know the time when the object will be at height 6 feet, we just need to use h=6 in the equation, and then calculate the value of t:

6 = -16t^2 + 70

16t^2 = 64

t^2 =4

t = 2 s

So, it will take 2 seconds for the object to be 6 feet above the valley floor.

8 0
3 years ago
Triangle PQR has vertices (2,2) (5,-4) and (-4,-1). What type of triangle is triangle PQR
ale4655 [162]
It is a scalene triangle.
7 0
3 years ago
Factor completely:
padilas [110]

Answer:

d) 2x²(6x³ + 3x + 4)

Step-by-step explanation:

In order to factor the given polynomial, you need to find the greatest common factor of all three terms:  12x^{5}+6x^{3}+8x^{2}

The greatest common factor is '2' and the variable is x².  If we factor out 2x² from each term, we get:

2x²(6x³ + 3x + 4)

8 0
3 years ago
5. Find the distance between points at (6. 11) and (-2,-4).<br> 16<br> 17<br> 18<br> 19
Hoochie [10]
I think the correct answer is 17
4 0
3 years ago
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