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3 years ago

8

Every day you collect 8 pennies and keep them in a jar. The first day you have 8, the second day you have 16, etc. How many penn

ies do you have on the 113th day?

2 answers:

Annette [7]3 years ago

4 0

I think it is 904
Hope this helps!!!!!

sweet [91]3 years ago

3 0

Answer:

904

Step-by-step explanation:

8 x 113 = 904

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FIND THE VOLUME OF THE TRIANGULAR PRISM<br> height=6cm<br> side=7cm<br> length=10cm

Dima020 [189]

Answer:

$210cm^3$

Step-by-step explanation:

Given the triangular prism with:

Height of the Triangle =6cm
Base of the Triangle =7cm
Length of the Prism =10cm

Volume of a Prism= Base Area X Length of the Prism

$=\frac{1}{2}X6X7X10\\ =210cm^3$

The volume is 210 cubic centimeter.

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3 years ago

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Find the length of AB

aniked [119]

FIRST QUESTION
Given points are:
A(2, -4) and B(6, 2)
Now, Use the distance formula.
distance formula = $\sqrt{ (x_{2}- x_{1})^{2} + ( y_{2} - y_{1} )^{2} }$

Now, plug the values into the formula, So,
distance = $\sqrt{ (6- 2)^{2} + ( 2 - (-4))^{2} }$

= $\sqrt{ (6- 2)^{2} + ( 2 +4))^{2} }$

= $\sqrt{ (4)^{2} + ( 6))^{2} }$

= $\sqrt{ 16+36}$

= $\sqrt{52}$

= $2 \sqrt{13}$

So, the length of AB is $2 \sqrt{13}$ .

<span>THIRD QUESTION
</span>Two points given are:
A(3, -2) and B(1, 1)
Also given that B is the midpoint of AC.

Let, the co-ordinates of C be C(a, b).
Now, using midpoint formula,
Midpoint = $(\frac{ x_{1}+ x_{2} }{2} , \frac{ y_{1}+ y_{2} }{2} )$

$(1, 1)=(\frac{ 3+ a }{2} , \frac{ -2+b }{2} )$

Now, equaling the ordered pair, we have,

$1=\frac{ 3+ a }{2}$ .............equation (1)

$1=\frac{ -2+b }{2}$ ................equation (2)

Now, taking equation (1)
$1=\frac{ 3+ a }{2}$

$1*2=3+a$

$2-3=a$

$a=-1$

Now, taking equation (2)
$1=\frac{ -2+b }{2}$

$1*2=-2+b$

$2+2=b$

$b=4$

<span>So, the co ordinates of C are (a, b) which is <u>(-1 , 4)

</u></span>
<span>SECOND QUESTION:
</span>Given equations are:
2x + 3y = 14.....................equation (1)
-4x + 2y = 4 .....................equation (2)
Taking equation (2)
-4x + 2y = 4
2y = 4 + 4x
y = (4 + 4x) / 2
y = 2 + 2x .......................equation (3)
Now, Taking equation (1)
2x + 3y = 14
Substituting the value of y from equation (3), we get,
2x + 3(2 + 2x) = 14
2x + 6 + 6x = 14
8x = 14 - 6
x = (14 - 6) / 8
x = 1

Taking equation (3)
y = 2 + 2x
Now, substituting the value of x in equation (3), we get,
y= 2 + 2 (1)
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So, x=1 and y=4

6 0

3 years ago

Can I please have some help????

DedPeter [7]

Answer:

avn= -8 + (n-1)(-7)

Step-by-step explanation:

arithmetic sequence formula= avn= av1 + (n-1)d

av1= first number in the sequence

d= common difference

n= the number of the term to find

The common difference is -7 so d=-7 and you plug it into the equation. The first number in the sequence is -8 so av1.

There is no specific n to find so it remains n.

I hope this helps! Let me know if this helps.

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3 years ago

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Point-lope form for the line that pae through the point (1, –1) and ha a lope of 4

max2010maxim [7]

Answer is
Point-slope form: y + 1 = 4(x -1)
Assuming you wanted
Slope-intercept form: y = 4x -5

Step by step

y - - 1 = 4(x -1)

y + 1 = 4(x -1)

y + 1 = 4x -4

y = 4x -5

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1 year ago

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lions [1.4K]

The two negetive points of the block add thise to you answer

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