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3 years ago

Subtraction: 57 - 28 = ? Show how to solve it step by step.

Mathematics

1 answer:

OverLord2011 [107]3 years ago

8 0

Answer:

Step-by-step explanation:

50 - 20 = 30

7 - 8 = -1

30 - 1 = 29

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X y

Darina [25.2K]

Answer:

Part 1) The rate of change is $\frac{17}{15}$

Part 2) The initial value is 68

Part 3) The function rule to the linear model is $y=\frac{17}{15}x+68$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

step 1

Find the slope

take two points from the table

(0,68) and (15,85)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{85-68}{15-0}$

$m=\frac{17}{15}$

In a linear function , the slope is the same that the rate of change

therefore

The rate of change is $\frac{17}{15}$

step 2

Find the y-intercept

we know that

The y-intercept is the value of y when the value of x is equal to zero

Looking at the table

For x=0, y=68

therefore

The y-intercept is

$b=68$

The y-intercept is also called the initial value

therefore

The initial value is 68

step 3

Determine the function rule to the linear model

$y=mx+b$

we have

$m=\frac{17}{15}$

$b=68$

substitute

$y=\frac{17}{15}x+68$

8 0

3 years ago

Alexander placed four straws on his table.

Diano4ka-milaya [45]

Answer:D (straws 2 and 4)

Step-by-step explanation:

The answer is D becuase those two straws intersect at point and create 90° angle

6 0

3 years ago

I have to put spaces so delete the spaces ok

loris [4]

Answer:

wdym???

Step-by-step explanation:

You have an email with at white buffalos.net??? I thought that was only my school.

3 0

3 years ago

Using Pythagorean Theorem what is the square root of the third side ?

IrinaVladis [17]

Pythagorean theorm is a^2+b^2=c^2
so 10^2+ 24^2 =c^2
100+576=c^2
676=c^2
26=c

5 0

3 years ago

Triangle CAT is transformed to produce triangle DOG.

PilotLPTM [1.2K]

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

A reflection, then a translation.
A rotation, then a reflection.

--------------------------

Two triangles are congruent if they have the same lengths of the sides and the same angles.

In a reflection, there is a rule that changes the coordinates (x,y), but does not change the lengths of the sides of the triangles, thus they will still be congruent.
A reflection is also a special case of rotation, thus, in a rotation, the triangles are also congruent.
A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
In a dilation, the lengths of the sides are changed, thus, the triangles will not be congruent.

--------------------------

Thus, from the bullet points above, the correct options are:

A reflection, then a translation.
A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298

3 0

3 years ago