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Gemiola [76]
3 years ago
9

$sam's\:mother\:is\:twice\:as\:old\:as\:sam.\:in\:12\:years\:sam\:will\:be\:as\:old\:as\:his\:mother\:was\:12\:years\:ago.\:how\

:aod\:are\:sam\:and\:his\:mother$

Mathematics
1 answer:
Furkat [3]3 years ago
8 0

9514 1404 393

Answer:

  Sam is 24; his mom is 48.

Step-by-step explanation:

We can let x and y represent Sam's age and his mom's age, respectively.

  y = 2x . . . . . Mom is twice Sam's age

  y -12 = x + 12 . . . . Mom's age 12 years ago is the same as Sam's age 12 years from now

__

Substituting for y in the second equation, we have ...

  2x -12 = x + 12

  x = 24 . . . . . . . . . add 12-x to both sides

  y = 2(24) = 48

Sam is 24; his mom is 48.

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What is the area of a triangle whose vertices are D(3, 3) , E(3, −1) , and F(−2, −5) ?
kirill [66]

We are given vertices of the triangle DEF as:

D(3, 3) , E(3, −1) , and F(−2, −5) .

Let us plot those points on the graph.

Formula of area of the triangle with vertices (x1,y1), (x2,y2) and (x3,y3).

Area = 1/2 [ (x2-x1)(y3-y1)-(x3-x1)(y2-y1)]

We have x1=3, x2=3, x3=-2, y1=3, y2 =-1 and y3 = -5.

Plugging values in formula, we get

Area = |1/2 [ 3-3)(-5-3)-(-2-3)(-1-3)]|

= |1/2 [ 0(-8) - (-5)(-4)]|

=| 1/2 [0 - 20]|

= |-10|

=10.

<h3>Therefore, area of the triangle with given vertices is 10 square units.</h3>
7 0
3 years ago
Find the average of$ 1148.37,$1760.44,$1143.57,and 1336.17 then round to the nearest cent
schepotkina [342]
If you total them it equals $5388.55. and then divide by 4 and the average is 1347.1375 and the you round to nearest cent. $1347.14
3 0
3 years ago
I need help with questions two and three I do not understand them at all
rosijanka [135]
1. D bc switch the 1/3 into 3/1, then 4 time 3/1 = 12. Basically 4 times 3 =12
2. D
4 0
2 years ago
A group of friends were working on a student film that had a budget of $900. They used 79% of their budget on equipment. How muc
Mariana [72]

Answer:

711

Step-by-step explanation:

They used 79/100 of their money on equipment which means if they have a budget of 900 dollars they used...

900*79/100=9*79=711 dollars on equipment.

8 0
3 years ago
Find the magnitude of WX for W(-2, 8, -3) and X(1, 4, -1)
zheka24 [161]

The magnitude of WX is  \sqrt{29}  ⇒ c

Step-by-step explanation:

The magnitude of XY (its length) where,

  • X=(x_{1},y_{1},z_{1})
  • Y=(x_{2},y_{2},z_{2})

is IXYI = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}+(z_{2}-z_{1})^{2}}

∵ W = (-2 , 8 , -3)

∵ X = (1 , 4 , -1)

- To find the magnitude of WX use the formula above

∴ x_{1} = -2 and x_{2} = 1

∴ y_{1} = 8 and y_{2} = 4

∴ z_{1} = -3 and z_{2] = -1

- Substitute these values in the rule above

∵ IWXI = \sqrt{(1--2)^{2}+(4-8)^{2}+(-1--3)^{2}}=\sqrt{9+16+4}

∴ IWXI = \sqrt{29}

The magnitude of WX is  \sqrt{29}

Learn more:

You can learn more about the position of an object in brainly.com/question/10940255

#LearnwithBrainly

8 0
3 years ago
Read 2 more answers
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