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4 years ago

[60 points. Help me.]

Mathematics

1 answer:

n200080 [17]4 years ago

5 0

Step-by-step explanation:

Total distance = 8/13 mile

Distance left = 8/13 - 2/13 - 2/13 = 4/13 mile

Hence Monica is 4/13 of a mile from home now. (B)

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What is the simplified form of V45?

Gelneren [198K]

Answer:

3√5

Step-by-step explanation:

45=3×3×5

that would be it I believe

8 0

3 years ago

If A= and B= , find BA

Arada [10]

Answer:

$\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\6&6&-19\end{array}\right]$

Step-by-step explanation:

Given that A = $\left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right]$ and B = $\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right]$ .

Therefore, BA = $\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right]$ × $\left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right]$ = $\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\6&6&-19\end{array}\right]$ (Answer)

For, the 1st row-1st column element is obtained by multiplying the 1st row of B matrix and 1st column of A matrix.

Similarly, the 1st row-2nd column element is obtained by multiplying the 1st row of B matrix and 2nd column of A matrix.

And so on. (Answer)

8 0

3 years ago

a half of whats johns age was 4 years ago is equal to one third of what will be in 5 years time. how old is john now?

Leona [35]

Let x = John's age now

half of what johns age was 4 years ago: (1/2)(x-4)

is equal to one third of what it will be in 5 years time: (1/3)(x+5)

(1/2)(x-4) = (1/3)(x+5)

3(x-4) = 2(x+5)

3x - 12 = 2x + 10

8 0

3 years ago

Some time ago , Keith's height and his nephew's height were at a ratio of 15:7. Then, Keiths height increased by 16% and his nep

GaryK [48]

Answer:

The answer is below

Step-by-step explanation:

The ratio of Keith's height and his nephew's height is 15:7. Let keith height be x cm and his nephews height be y cm.

$\frac{x}{y}=\frac{15}{7} \\x=\frac{15}{7}y$

Keiths height increased by 16% , therefore Keith new height is (100% + 16%) × x = 1.16x

The nephew height is doubled, therefore his new height is 2y.

Given that Keith is now 34 cm taller than his nephew

1.16x = 2y + 34

but x = (15/7)y

$1.16(\frac{15}{7} )y=2y+34\\\\\frac{87}{35} y=2y+34\\\\\frac{87}{35} y-2y=34\\\\\frac{17}{35}y=34\\ \\y=\frac{34*35}{17}\\ \\y=70\ cm$

The nephews new height = 2y = 2(70) = 140 cm

Keith new height = 2y + 34 = 140 + 34 = 174 cm

Their total current height = 140 cm + 174 cm = 314 cm

3 0

3 years ago

Line segment GH is divided by point J in the ratio of 1:4. Endpoint G is at (7,5) and point J is at (10, 14).

wlad13 [49]

Answer:

(x2 , y2) = (22,50)

Step-by-step explanation:

Given:

m1 : m2 = 1:4

(x1 , y1) = (7 , 5)

(X ,Y) = (10 ,14)

Find:

(x2 , y2)

Computation:

X = (m1x2 + m2x1) / (m1+m2)

10 = [(1)(x2) + (4)(7)]/(1+4)

10 = [x2 + 28]/5

22 = x2

Y = (m1y2 + m2y1) / (m1+m2)

14 = [(1)(y2) + (4)(5)]/(1+4)

14 = [y2 + 20]/5

70 = y2 + 20

50 = y2

(x2 , y2) = (22,50)

7 0

3 years ago