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3 years ago

Factorise first then solve these equations

Mathematics

1 answer:

trapecia [35]3 years ago

4 0

1) factorised is (x+4)(x+1)=0
So x=-4 x=-1

2) factorised is (a-4)(a-3)=0
So a=4 a=3

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What is 3 In 5 + Inx written as a single natural logarithm?

Marizza181 [45]

Answer:

$\ln {125x}$

Step-by-step explanation:

First, use the property

$n\ln a = \ln a^n$ to change the first term.

$\ln{5^3} + \ln x \\ \ln 125 + \ln x$

Next, use the property $\ln a + \ln b = \ln{ab}$ .

$\ln {125x}$

5 0

3 years ago

identify the slope and Y- intercept of the graph of the equation.Then graph the equation, Y = - 5/4X + 1

Zigmanuir [339]

The solution is as shown in the figure.

The slope = -5/4

7 0

3 years ago

The physical education teacher has to organize 27 grade 6 students, 36 grade 7 students, and 54 grade 8 students into groups of

WARRIOR [948]

Answer:

a 13 students

b 9 groups

Step-by-step explanation:

I will assume we want equal amounts of children from each grade

6th grade:

27 = 3*9 = 3*3*3

7th grade

36 = 4*9 = 2*2*3*3

8th grade

54 = 6*9 = 2*3*3*3

The terms that appear in each of 6th, 7th and 8th are 3*3

That is the greatest common factor

3*3 = 9

We can make 9 groups, Factor out the 9 and what is left is the number from each grade that is in each group

6th grade:

27 = 3*9 There will be 3 6th graders in one group

7th grade

36 = 4*9 There will be 4 7th graders in one group

8th grade

54 = 6*9 = There will be 6 8th graders on one group

In one group we have 3+4+6 = 13 people

There will be 9 groups of 13 children

5 0

3 years ago

What is the volume of the square pyramid? Round to the nearest tenth

Minchanka [31]

ANSWER

$Volume = 480.0{cm}^{3}$

EXPLANATION

The volume of the square pyramid is given by;

$Volume = \frac{1}{3} {l}^{2} \times h$

Where l=12cm is the length of the square base and h=10cm is the height of the pyramid.

We substitute the values into the formula to get;

$Volume = \frac{1}{3} \times {12}^{2} \times 10 {cm}^{3}$

This simplifies to,

$Volume = \frac{1}{3} \times {12} \times 12\times 10 {cm}^{3}$

$Volume = 4 \times 12\times 10 {cm}^{3}$

$Volume = 480.0{cm}^{3}$

Third option is correct.

6 0

3 years ago

Read 2 more answers

Are the equations m+3=-5 and m-4=-12$ equivalent?

Eddi Din [679]

Answer:

Yes They Are Equivalent

Step-by-step explanation:

I checked by multiplying them.

8 0

3 years ago

Read 2 more answers