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vova2212 [387]
3 years ago
12

2. Is the expression 2 • 4' equal to the expression 8"? Explain your answer.

Mathematics
1 answer:
liberstina [14]3 years ago
4 0
Yes, this is because 2*4 equals 8
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Complete the equation of the line through (-10,-7) and (-5, -9).<br>Use exact numbers,​
steposvetlana [31]

Answer:

y=\frac{-5}{2}*x + 18

Step-by-step explanation:

A line in 2-dimensional space has the following general equation:

y=m*x+b

Where m is the slope of the line, and b just a number

the slope can be obtaine using th following formula:

m=\frac{x_{2} - x_{1} }{y_{2} - y_{1}}

The point 2 is the one with the smallest value for x, that is (-10,-7) and the Point 1 is any other that belongs to the line, in this case, (-5,-9)

m=\frac{-5 - (-10) }{-9 - (-7)}

Resulting that \frac{-5}{2}

To find the other term we can use any other point, I prefer us the first one so...

We have the following equation:

-7=\frac{-5}{2}*(-10)+b

Resulting that b=18

I just have to eval the point (-10,-7) in the equation stated at the beginning  knowin that m was calculated previously.

8 0
3 years ago
Read 2 more answers
Trapezoid ZOID is congruent to trapezoid TRAP. If vertices 2 and have coordinates (0, -2) and (0, -5) respectively, which of the
vlada-n [284]

The trapezoids are congruent if the corresponding sides of each trapezoid are equal

The option that gives the possible coordinates for the vertex <em>I</em> is the option;

\underline{(-4.5, -5)}

Reason:

The given coordinates of the trapezoid TRAP = T(3, 5), P(3 2), R(6, 5), and A(7.5, 2)

The given coordinates of the trapezoid ZOID = Z(0, -2), and D(0, -5)

Required: The possible coordinates for a vertex on ZOID

Solution:

The given points of the trapezoid are the height of the trapezoid ZOID

The possible vertex of <em>I</em>, and <em>O</em> are;

  • I(4.5, -5), I(-4.5, -5), O(3, -2), O(-3, -2)

Therefore;

The option that gives the possible coordinates (position) of a vertex <em>I</em> is the option \underline{(-4.5, -5)}

Learn more here:

brainly.com/question/12871672

3 0
3 years ago
A seven-year medical research study reported that women whose mothers took the drug DES during pregnancy were twice as likely to
Artyom0805 [142]

Answer:

The classification of the set of circumstances is presented in the following subsections of the understanding.

Step-by-step explanation:

A 7-year health research project revealed that individuals for whom the mom took DES throughout pregnancy seem to have been twice as probable as women for whom the mothers didn't use the medication to establish tissue irregularities that could cause cancer.  

(a)

Women with whom the mothers have taken DES throughout pregnancy as well as women where its mothers haven't taken DES during pregnancy.

(b)

The information collected seems to have been a sample or survey.  

(c)

A sampling unit of 3980 (women) showed that performance 63 industrialized tissue irregularities that could contribute to disease (cancer) in the proportion of females with whom the mom brought the powerful DES all through pregnancy.  

The proportion of abnormalities in tissues established by females does seem to be:  

=  \frac{63}{3980}

=  0.015829

Of every thousand women, 15.8 established tissue abnormalities.

3 0
3 years ago
The combined height of one oak tree and one pine tree is 21 meters. The height of 4 oak trees stacked on top of each other is 24
olasank [31]

Answer:

Height of an oak tree= 9 meters

Height of a pine tree = 12 meters

Step-by-step explanation:

Given:

The combined height of 1 oak tree and 1 pine tree = 21 meters

Height of 4 oak trees = 24 meters more than 1 pine tree

To find the height of 1 pine tree and height of one oak tree.

Solution:

Let the height of one oak tree be = x meters.

Let height of one pine tree = y meters.

Combined height can be given as :

x+y=21-------------[1]

Height of 4 oak trees = 24 meters more than 1 pine tree

The above statement can be given as :

4x=24+y------------[2]

Rearranging equation [2] by subtracting both sides by y.

4x-y=24+y-y

4x-y=24-------------[2]

Adding rearranged equation [2] to [1].

x+y=21

4x-y=24

+--------------------

5x\         = 45

Dividing both sides by 5.

\frac{5x}{5}=\frac{45}{5}

∴ x=9

Plugging in  x=9 in equation [1]

9+y=21

Subtracting both sides by 9.

9-9+y=21-9\\\therefore y=12

Height of an oak tree= 9 meters

Height of a pine tree = 12 meters

3 0
3 years ago
4.016 as mixed number
vodka [1.7K]
4.016=4+0.016=\boxed{4\frac{16}{1000}}=4\frac{16:8}{1000:8}=\boxed{4\frac{2}{125}}
6 0
4 years ago
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