All categories

2 years ago

Simplify -4x + 3y + -2z + 2y

Mathematics

2 answers:

Katarina [22]2 years ago

6 0

Answer:

−4+5−2

Step-by-step explanation:

Just combine the like terms which are 3y and 2y, you add and get 5y and everything else stays the same

geniusboy [140]2 years ago

6 0

-4x + 5y +-2z
If you just combine the alike terms

You might be interested in

-3 - 8+ (-4) what is the answer??

Masja [62]

The answer to -3-8+(-4) is -15

7 0

3 years ago

Read 2 more answers

What is the average velocity between 12.00 and 15.00 seconds

bekas [8.4K]

The average between 12.00 and 15.00 seconds
can be defined in a few different ways.

Way #1: (speed)

   Average speed =
   (1/2) (the speed at 12 seconds + the speed at 15 seconds) .

Way #2: (speed)

   Average speed =
   (1/3) (the distance covered between 12.00 and 15.00 seconds)

Way #3: (velocity)

   Average velocity =
   (1/3) (distance between location at 12 sec and location at 15 sec)
   in the direction from location at 12 sec to location at 15 sec.

That's the best we can do with the combination of given and
not given information in the question.

3 0

3 years ago

Read 2 more answers

Based on the diagram above, which of the following does not make q and parallel

iragen [17]

C. Because it only gives the measure of angles on line p and not line q

3 0

2 years ago

1. an alloy contains zinc and copper in the ratio of 7:9 find weight of copper of it had 31.5 kgs of zinc.

m_a_m_a [10]

Answer:

Step-by-step explanation:

Question (1). An alloy contains zinc and copper in the ratio of 7 : 9.

If the weight of an alloy = x kgs

Then weight of copper = $\frac{9}{7+9}\times (x)$

= $\frac{9}{16}\times (x)$

And the weight of zinc = $\frac{7}{7+9}\times (x)$

= $\frac{7}{16}\times (x)$

If the weight of zinc = 31.5 kg

31.5 = $\frac{7}{16}\times (x)$

x = $\frac{16\times 31.5}{7}$

x = 72 kgs

Therefore, weight of copper = $\frac{9}{16}\times (72)$

= 40.5 kgs

2). i). 2 : 3 = $\frac{2}{3}$

4 : 5 = $\frac{4}{5}$

Now we will equalize the denominators of each fraction to compare the ratios.

$\frac{2}{3}\times \frac{5}{5}$ = $\frac{10}{15}$

$\frac{4}{5}\times \frac{3}{3}=\frac{12}{15}$

Since, $\frac{12}{15}>\frac{10}{15}$

Therefore, 4 : 5 > 2 : 3

ii). 11 : 19 = $\frac{11}{19}$

19 : 21 = $\frac{19}{21}$

By equalizing denominators of the given fractions,

$\frac{11}{19}\times \frac{21}{21}=\frac{231}{399}$

And $\frac{19}{21}\times \frac{19}{19}=\frac{361}{399}$

Since, $\frac{361}{399}>\frac{231}{399}$

Therefore, 19 : 21 > 11 : 19

iii). $\frac{1}{2}:\frac{1}{3}=\frac{1}{2}\times \frac{3}{1}$

$=\frac{3}{2}$

$\frac{1}{3}:\frac{1}{4}=\frac{1}{3}\times \frac{4}{1}$

= $\frac{4}{3}$

Now we equalize the denominators of the fractions,

$\frac{3}{2}\times \frac{3}{3}=\frac{9}{6}$

And $\frac{4}{3}\times \frac{2}{2}=\frac{8}{6}$

Since $\frac{9}{6}>\frac{8}{6}$

Therefore, $\frac{1}{2}:\frac{1}{3}>\frac{1}{3}:\frac{1}{4}$ will be the answer.

IV). $1\frac{1}{5}:1\frac{1}{3}=\frac{6}{5}:\frac{4}{3}$

$=\frac{6}{5}\times \frac{3}{4}$

$=\frac{18}{20}$

$=\frac{9}{10}$

Similarly, $\frac{2}{5}:\frac{3}{2}=\frac{2}{5}\times \frac{2}{3}$

$=\frac{4}{15}$

By equalizing the denominators,

$\frac{9}{10}\times \frac{30}{30}=\frac{270}{300}$

Similarly, $\frac{4}{15}\times \frac{20}{20}=\frac{80}{300}$

Since $\frac{270}{300}>\frac{80}{300}$

Therefore, $1\frac{1}{5}:1\frac{1}{3}>\frac{2}{5}:\frac{3}{2}$

V). If a : b = 6 : 5

$\frac{a}{b}=\frac{6}{5}$

$=\frac{6}{5}\times \frac{2}{2}$

$=\frac{12}{10}$

And b : c = 10 : 9

$\frac{b}{c}=\frac{10}{9}$

Since a : b = 12 : 10

And b : c = 10 : 9

Since b = 10 is common in both the ratios,

Therefore, combined form of the ratios will be,

a : b : c = 12 : 10 : 9

7 0

3 years ago

An isosceles triangle has (5 points) A, at least two congruent sides B. two sides that are perpendicular C. three sides with the

aev [14]

Answer:

A. at least two congruent sides

Step-by-step explanation:

Since, we know that,

'An isosceles triangle is a triangle having two sides of equal length or at least two sides of equal length (special case is equilateral triangle)'.

Thus, from the options, we see that,

Options B, C and D are not correct.

<em>Since, congruent sides means that the lengths of the sides are equal.</em>

Thus, we get that,

'An isosceles triangle has at least two congruent sides'.

Hence, option A is correct.

4 0

3 years ago

Read 2 more answers