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Tom [10]
3 years ago
8

Help i’m confused i don’t know what to do

Mathematics
2 answers:
VMariaS [17]3 years ago
7 0

Answer:

-84i - 12i

Step-by-step explanation:

The distributive property is: a(b+c) = ab + ac

In this case, we have -6i(-14i+2)

-6i = a

-14i = b

2 = c

-6i(-14i+2) = -6i(-14i) + -6i(2)

= 84i^2 - 12i

= -84 - 12i

elena55 [62]3 years ago
6 0

Answer:

84-12i

Step-by-step explanation:

-6i(-14i+2).

since we can’t add the numbers in the (), we multiply -6i to 14i and 2.

minus times minus equals positive +.

minus times positive equals minus, same with positive times minus.

positive times positive numbers equal positive.

with this, -6i times -14i equals +84 although we don’t need to put the +.

then -6i times +2 equals -12i. We have to put the i in 12i because the i is in -6i, plus that is what we are multiplying with. So the equation would be..

+84+(-12i)

= 84 - 12i

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marusya05 [52]

Answer:

Ans 1. x= 7

Ans 2.a.

\overline {AC} \cong \overline {JL} \\\textrm{is the additional information required to prove the triangles are congruent by SAS postulate}

Ans.2.b.

\overline {BC} \cong \overline {KL} \\\textrm{is the additional information required to prove the triangles are congruent by the HL theorem}

Step-by-step explanation:

Solution:

1.

Vertically opposite angles are equal.

\therefore (x+16) = (4x-5)\\\therefore (4x-x) = (16+5)\\\therefore (3x) = (21)\\\therefore x = 7

2.a.

proof for Δ BAC ≅ ΔKJL by SAS postulate.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{AC} \cong \overline{JL}\ \textrm{additional information require to prove the tangles are congruent by SAS postulate}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Side-Angle-Side postulate...PROVED}

2.b.

proof for Δ BAC ≅ ΔKJL by HL theorem.

InΔ BAC and Δ KJL

BA ≅  KJ               Given

∠ BAC ≅ ∠ KJL   {measure each angle is 90}

\overline{BC} \cong \overline{KL}\ \textrm{additional information require to prove the tangles are congruent by HL theorem}\\\therefore \triangle BAC \cong \triangle KJL\ \textrm{By Hypotenuse Leg Theorem......PROVED}

5 0
3 years ago
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1 hour did he drive yesterday

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2 years ago
2/3 -4x + 7/2 = -9x + 5/6
kirza4 [7]

Answer:

Step-by-steplanation:

Add: 1

2

+ 2

5

= 1 · 5

2 · 5

+ 2 · 2

5 · 2

= 5

10

+ 4

10

= 5 + 4

10

= 9

10

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 5) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - one half plus two fifths = nine tenths.

Conversion a mixed number 6 2

7

to a improper fraction: 6 2/7 = 6 2

7

= 6 · 7 + 2

7

= 42 + 2

7

= 44

7

To find new numerator:

a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7

7

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7

b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44

c) Write previous answer (new numerator 44) over the denominator 7.

Six and two sevenths is forty-four sevenths

Add: the result of step No. 1 + 44

7

= 9

10

+ 44

7

= 9 · 7

10 · 7

+ 44 · 10

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70

+ 440

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= 63 + 440

70

= 503

70

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(10, 7) = 70. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 7 = 70. In the next intermediate step the fraction result cannot be further simplified by cancelling.

In words - nine tenths plus forty-four sevenths = five hundred three seventieths.

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