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3 years ago

98 PTS! Can someone please help?

Mathematics

2 answers:

padilas [110]3 years ago

5 0

Answer: -22

Step-by-step explanation:

In the first question, we can simplify 2√8 to 4√2, making it :

(√10 + 4√2)(√10 - 4√2)

When you FOIL, √10(√10) = 10, and 4√2 * -4√2 = -32. The others cancel each other out. So -32 + 10 = -22.

Xelga [282]3 years ago

5 0

Answer:

1. -22

Step-by-step explanation:

1. There is a special property that we can use. It's a^2-b^2=(a+b)(a-b).

In this case, your a value is sqrt(10) and your b value is 2 sqrt(8).

Thus, (sqrt10 + 2sqrt(8))(sqrt10 - 2sqrt(8)) = sqrt10^2 - 2sqrt(8)^2 = 10 - 32 = -22.

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Subtract the following complex numbers:<br> (3 +31) - (13+15)

vova2212 [387]

Answer:

33-28=5

Step-by-step explanation:

hope this helps

6 0

3 years ago

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Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13. The length of a side PQ with coordinates of

P as (x,y) and Q as (w,z)

is: $\sqrt{(x-w)^{2} +(y-z)^{2} }$

so, the length of the side AB =

$\sqrt{(5-5)^{2}+(-2+7)^{2} } =\sqrt{0^{2}+5^{2} } =5$

the length of side BC =

$\sqrt{(5-1)^{2}+(-7+2)^{2} } =\sqrt{(4)^{2}+(-5)^{2} } =\sqrt{4^{2}+5^{2} }$

the length of side AC=

$\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4$

now, the easiest one will be when the vertices are on the coordinate axes.

so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

here, the alternate interior angles are angle1 and angle4.

therefore to prove this step, he used parallel postulate as a reason.

so, the correct option is "a"

7 0

3 years ago

Solve 2x+y=3 x+y=5 in substitution method

Nastasia [14]

2x+y=3
- x+y=5
---------------
x=-2

2(-2)+y=3
y=7

-2+y=5
y=7

(-2,7)

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3 years ago

Which of the following equations is equivalent to x - y = 6?

Agata [3.3K]

I believe the answer would be A. 2x-y=6 :)

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3 years ago

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If a roasting is 600mm x 500mm how many 25cm cake time will fit on it?

nydimaria [60]

So assuming that 25cm is 25 square cm because you cannot have a 2 dimentional cake so

600mm by 500mm
to find the area, multiply legnth by width

mm=milimeters
cm=centimeters
this is in mm so
1cm=10mm
1mm=1/10cm
to convert from mm to cm, you divide by 10
we must divide by 10 first
legnth =600mm
600/10=60cm
legnth=60cm

width=500mm
500/10=50cm
width=50cm

area=60 times 50=3000 square cm or cm^2
so 3000 is the area
25 is the area of each cake
divide 3000 into 25 and find how many cakes will fit

3000/25=120

120 cakes will fit

3 0

3 years ago