Factorise the following.​

Answer:

x = 1.8

Step-by-step explanation:

7x = 17x - 18

bring all x values to a side

7x -17x = -18

-10x = -18

divide by -10

x = 9/5 = 1.8

The value of x is 6.

We know from Mid point theorem

The Midpoint Theorem, also known as the Midsegment Theorem, states that in a triangle, the line segment connecting the midpoints of two sides is parallel to the third side and is half its length.

So, from the figure we can write

7x = 1/2 (17x - 18)

7x (2) = 17x - 18

14x = 17x - 18

By subtracting 17x from both sides to eliminate the x term on the right side:

14x - 17x = 17x - 17x - 18

-3x = -18

Next, divide both sides of the equation by -3 to solve for x:

(-3x) / -3 = (-18) / -3

x = 6

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Answer:

Berkley

Step-by-step explanation:

After he completed his graduate work, he became a professor at Berkley.

Answer:

Willard F. Libby received his undergraduate degree from

✔ University of California, Berkley

.

After he completed his graduate work, he became a professor at

✔ University of California, Berkley

.

In 1960, he won a Nobel Prize in

✔ chemistry

.

Step-by-step explanation:

Answer:

The equation of the line is y=-1/2x-3.5

Step-by-step explanation:

Given the two points on the line, (1, -4) and (3, -5), find the slope of the line with the equation [tex]m=\frac{y2-x2}{y1-x1}[/tex].

[tex]m=\frac{-5-(-4)}{3-1} =\frac{-5+4}{3-1} =\frac{-1}{2}[/tex]

After you find the slope of the line, substitute x and y with either point given to you. For me, I'll use point (1, -4) to solve for the y-intercept.

[tex]-4=\frac{-1}{2} (1)+b[/tex]

[tex]\frac{1}{2} -4=\frac{-1}{2} +\frac{1}{2} +b[/tex]    add both sides by 1/2 so that b is alone

[tex]\frac{-7}{2} =b[/tex]              

You can rewrite -7/2 as -3.5.

Answer:24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

12+12=24

4.0/5

136

The answer is x = -8/9.

Hope you have a good rest of your day. :)

Answer:

B. [tex]x=-\frac{8}{9}[/tex]

Step-by-step explanation:

edge 2021

:) Good luck, loves!

Answer:

0.2 rounded up or 1/5 (also rounded up)

Answer:

[tex]x = y = 3\sqrt{ 2[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x and y

The given triangle has 45 degrees as one of its angles, and it is also a right angle triangle.

For this kind of parameter, the opposite = the adjacent

i.e. x = y

Apply Pythagoras theorem

[tex]x^2 + y^2= 6^2[/tex]

Substitute x for y

[tex]y^2 + y^2= 6^2[/tex]

[tex]2y^2= 36[/tex]

Divide by 2

[tex]y^2 = 18[/tex]

Take square root

[tex]y = \sqrt{18[/tex]

[tex]y = \sqrt{9 * 2[/tex]

Split

[tex]y = \sqrt{9} *\sqrt{ 2[/tex]

[tex]y = 3*\sqrt{ 2[/tex]

[tex]y = 3\sqrt{ 2[/tex]

[tex]x = y = 3\sqrt{ 2[/tex]

Answer:

50%

Step-by-step explanation:

There are 6 sides on a normal dice 2,4,6 are even numbers making it 3/6 or 1/2 of the numbers are even so there is a 50% chance an even number will be rolled.

Answer:

(0.118, 4.882)

Step-by-step explanation:

If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;

​Distance = Speed * time

​da = 120m

If he drives n hours at 18km/hr;

db = 18 * n

db = 18n

Speed of the motorist altogether is expressed as;

Speed =78km/5hrs

Speed = 15.6km/hr

SInce the total distnce is 78km

120m + 18n = 78 ....1 ..... * 1

If total time is 5hrs

m + n = 5....2 ...*18

Solve simultaneously

120m + 18n = 78

18m + 18n = 90

Subtract

120m - 18m = 78-90

102m = -12

m = 0.118 hrs

m =

Since m + n = 5

n = 5 - m

= 5 - 12/102

n = 4.882

Hence (m,n) is (0.118, 4.882)

Step-by-step explanation:

[tex]4 {x}^{2} \sqrt{ {5x}^{4} } \times 3 \sqrt{5 {x}^{8} } [/tex]

[tex]4 {x}^{2} \times \sqrt{5} \times {x}^{2} \times 3 \sqrt{5} \times x ^{4} [/tex]

[tex]4 {x}^{2} \times {x}^{2} \times {x}^{4} \times \sqrt{5} \times 3 \sqrt{5} [/tex]

= 4x⁸ × 5 × 3

= 60x⁸

Answer:

I have made it in above picture

Answer:

Uhh, I guess 24? I don't understand this question

Question: Which of the following are perfect powers?

Answer:

The answers on Edge are 27, 81, and 100. These are perfect powers.

Answer:

36-0.2d

Step-by-step explanation:

d refers to the number of days

This should work for your question if not I'm very sorry

The required expression for the decreasing depth of the pond is y = 36 - 0.2x, Where y is the depth of the pond after x days.

The equation is the relationship between variables and constants represented as y = ax + b  is an example of a polynomial equation.

Here,
The water depth of a pond is initially 36 inches
The water depth of a pond decreases at a rate of 0.2 inches per day through evaporation.
Let the number of the days be x , and the depth left be y
According to the question,
Total depth in x days = 0.2x
Total remaining depth = 36 - 0.2x
or
y = 36 - 0.2x

Thus, the required expression for the decreasing depth of the pond is y = 36 - 0.2x, Where y is the depth of the pond after x days.

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Answer:

vertex: (-1,25)

aos; -1

left x int: -6

right x int: 4

(not sure)

range is less than of equal to 25

i really want to say 648 but it might be 27 or 15552

Answer:

Step-by-step explanation:

Where's the line?

Answer: 1920 cubic centimeter

Step-by-step explanation:

L*W*H for both and add

8*10*10=800

8*10*14=1120

800+1120=1920 cubic centimeters

Step-by-step explanation:

Answer:

Three to the fourth means multiply 3 together 4 times, so expanded form is 3 x 3 x 3 x 3. To evaluate the power, find the product of the factors in expanded form. 3 times 3 is 9, 9 times 3 is 27, and 27 times 3 is 81.

Step-by-step explanation:

Answer:

a. it has reflectional symmetry with 16 line of symmetry

Answer:

Its 64 cm

Step-by-step explanation:

Answer:

n = -(13/4) or -3.25(In decimal form)

Step-by-step explanation:

-(5/2) = (3/4) + n

-(5/2) - (3/4)

n = -(13/4)

Answer:

no solutions

Step-by-step explanation:

Step-by-step explanation:

4 x 3 + 6

12 + 6

= 18

or

4 x (3+6)

4 x 9

= 36

depends whether the 3+6 is in brackets :)

Answer:

if x = 4

then,

4 (3 + 6)

12 + 24

= 36

Depends whether they are in brackets but usually i would consider it in this problem.

Without the brackets would be:

4 x 3 + 6

12 + 6 = 18

Answer:

It is possible to know whether the rule is a function or not through the graph by drawing a straight line parallel to the Y axis.If the straight line cuts the graph of the relationship at more than one point, then it is not a function. If it breaks it in one point, then it becomes a function.

Step-by-step explanation:

If you need any explanation on math you can communicate with me on Whats on this number +201557831028 or in email or face

Answer:

10.500.000 libras esterlinas

Step-by-step explanation:

70000000 x 0,05 = 3.500.000

3.500.000 x 3 = 10.500.000

Answer:

go on

Step-by-step explanation:

¯\_(ツ)_/¯