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mr Goodwill [35]
3 years ago
7

The table below summarizes the number of children per household for a sample of 29 families

Mathematics
1 answer:
atroni [7]3 years ago
6 0
Can you please provide a photo so I can help you?
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Find a+b,2a+3b,IaI, and Ia-bI. a[5, -12], b=[-3, -6]
DENIUS [597]

Answer: 1) 2\hat{i}-18\hat{j} 2) \hat{i}-6\hat{j} 3) 13, 4) 10.

Step-by-step explanation:

Since we have given that

\vec{a}=5\hat{i}-12\hat{j}\\\\and\\\\\vec{b}=-3\hat{i}-6\hat{j}

So, we need to find :

1) a + b is given by

5\hat{i}-12\hat{j}-3\hat{i}-6\hat{j}\\\\=2\hat{i}-18\hat{j}

2) 2a+3b is given by

2(5\hat{i}-12\hat{j})+3(-3\hat{i}-6\hat{j})\\\\=10\hat{i}-24\hat{j}-9\hat{i}+18\hat{j}\\\\=\hat{i}-6\hat{j}

3) |a| is given by

\sqrt{5^2+(-12)^2}\\\\=\sqrt{25+144}\\\\=\sqrt{169}\\\\=13

4) |a-b| is given by

\sqrt{(5+3)^2+(-12+6)^2}\\\\=\sqrt{8^2+6^2}\\\\=\sqrt{64+36}\\\\=\sqrt{100}\\\\=10

Hence, 1) 2\hat{i}-18\hat{j} 2) \hat{i}-6\hat{j} 3) 13, 4) 10.

6 0
3 years ago
Match the reasons with the statements in the proof to prove DF = EF, given that DEF is a triangle by definition and angles 3 and
icang [17]

Answer with explanation:

Given:

In Δ DEF, ∠3=∠4.

To prove:→ DE=E F

Proof:

1.  ∠3=∠4------[Given]

2. →∠1 and ∠ 3 are Supplementary to each other.

(a)⇒∠1 + ∠ 3=180°

 →∠2 and ∠ 4 are also Supplementary to each other.

(b)⇒∠2 + ∠ 4=180°

                                     --------------------[Exterior sides in opposite rays]

3. From 1 , a and b

 ⇒∠ 1 = ∠ 2-------[Two Angles Supplementary to equal Angles are equal to each other]

4. \Bar{DE}=\Bar{E F}

 If two angles of a Triangle are equal , then side opposite to these angles are equal.

6 0
3 years ago
Can someone please help me
djyliett [7]

Slope = (10 - 5)/(-9 + 15) = 5/6

y = mx + b where m = slope and b = y-intercept

b = y - mx

b = 5 - (5/6) (-15)

b = 5 +12.5

b = 17.5

Equation y = 5/6 x + 17.5

Y-intercept = 17.5

X-intercept when y = 0

So

5/6 x + 17.5 = 0

5/6 x = -17.5

x = (-17.5) (6/5)

x = -21

Answer

Y intercept (0, 17.5 )

X intercept (-21 , 0)

3 0
3 years ago
What was hitler and german army trying to accomplish? complete sentences for a summary
Shalnov [3]
Hitler and the Nazis were trying to get as much power as possible they were trying to fix the wrong doings (in there opinion) of the previous German leaders the kaisers so this is why over the course of the moment from when Hitler was elected in 1933 he started to build up the army .
MAIN POINT: He aimed to persecute those of gypsy , Jewish and African or black origin and those with disabilities as he wanted to create his aryan race of pure Germans no this isn’t a summary but take the points out of this
4 0
3 years ago
-0.000167 in scientific notation
tiny-mole [99]
1.67 \times{10}^{ - 4}
6 0
3 years ago
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