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Oksana_A [137]
3 years ago
8

A model with 3 rows of 5 squares and 3 rows of 3 squares. Use the model to find the missing number in the pair of equivalent exp

ressions. 15 + 9 = ?(5 + 3) What number is missing from the expression?
Mathematics
2 answers:
I am Lyosha [343]3 years ago
5 0

Answer:

3

Step-by-step explanation:

zhenek [66]3 years ago
3 0

Answer:

3

Step-by-step explanation:

15+9=3(5+3)

24=3(5+3)  --->  24=3x8

24=24

So it's 3

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Elanso [62]
162.56cm or if you round it, 163cm
4 0
3 years ago
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Two right triangles, ABD and ACD, were created from ABC by
Ainat [17]

Answer:

Since their corresponding angles are congruent and the corresponding sides are in proportion

Step-by-step explanation:

For ABD,

Sin (B) = (AD ÷ AB) =1

∴ AD = AB

and if AD = AB

⇒ AD = AC   (since AD 1 CB).

From triangle ACD,

Sin(C) = (AD ÷ AC)

Since AD = AC , Hence Sin (B) = Sin (C) = 1

Also From definition of similar triangles ABD and ACD are Similar (i.e their corresponding angles are congruent and the corresponding sides are in proportion)

7 0
3 years ago
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Find all points having an x-coordinate of 5 whose distance from the point (2, 6) is 5
galina1969 [7]

Answer:

(5,2) and (5,10)

Step-by-step explanation:

we know that

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

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

we have

points\ (2,6),(5,y)\\d=5

substitute in the formula

5=\sqrt{(y-6)^{2}+(5-2)^{2}}

solve for y

5=\sqrt{(y-6)^{2}+(3)^{2}}

5=\sqrt{(y-6)^{2}+9}

square both sides

25=(y-6)^{2}+9

(y-6)^{2}=25-9

(y-6)^{2}=16

square root both sides

y-6=\pm4

y=6\pm4

y=6+4=10

y=6-4=2

therefore

The points are

(5,2) and (5,10)

6 0
3 years ago
Select the correct locations on the graph<br><br> select the lines that represent functions
SpyIntel [72]

Step-by-step explanation:

Using the vertical line test, we can see which lines are functions, and which are not. If a vertical line were to hypothetically appear, would it touch more than one part of the line? If so, it is not a function.

The lines outlined in a black box are the correct answers.

4 0
3 years ago
Read 2 more answers
Two linear functions of x are shown. Which Statement about the functions is true?
kolbaska11 [484]

Answer:

OPTION D: The rate of change of Function 2 is less than that of Function 1.

Step-by-step explanation:

From the table, we will determine the equation of function 2.

From the table, g(1) = 14 & g(-3) = - 86

Since, it is a linear function it should have been of the form, y = a + bx.

We will denote Function 2 as g(x).

So,  g(1)   =   14  = a + b      . . . (1)

And g(-3) = -86 = -3a + b   . . . (2)

From (1), a = 14 - b

Substituting this in (2), we get:

-86 = -3(14 - b) + b

⇒ - 86 = - 42 + 4b

⇒ - 44 = 4b

⇒ b = -11

So, a = 14 - (-11)

⇒ a = 25

So, equation of function 2 is: y = 25 - 11x.

Hence, Option A and B are eliminated.

In a linear equation of the form, y = ax + b, y - intercept = b.

So, in function 1, y - intercept = 19

And in function 2, y - intercept = -11

Clearly, OPTION C can be eliminated.

Now, rate of change of Function 1 = $ \frac{dy}{dx} = 30$

and rate of change of Function 2 = $ \frac{dy}{dx} = 25 $

Therefore, we can say that the rate of change if function 2 is less than that of function 1.

Option D is our answer.

5 0
3 years ago
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