Work out m and c for the line: y=3x

Answer:

the common ratio is 3

Step-by-step explanation:

to solve for the common ratio, I like to take the second term and divide it by the first term

15/5 = 3

then I will check the rest of the terms

15*3 = 45

45*3 = 135

It looks like the common ratio is correct!

Answer:

.

See the diagram attached below.

Let the chords be AB and AC with common point A.

AD is the diameter. Join B with D and C with D to form two triangles.

We need to prove that AB=AC.

\begin{gathered}In\ \triangle ABD\ and \triangle ACD;\\Given\ that\ \angle BAD=\angle CAD----(condition\ 1)\\since\ AD\ is\ diameter, \angle ABD=\angle ACD = 90^0\\So\ \angle ADB=\angle ADC--------(condition\ 2)\\AD=AD\ (common\ side)-----(condition\ 3)\\ \\So\ the\ triangles\ are\ congruent\ by\ ASA\ rule.\\Hence\ AB=AC.\end{gathered}

In △ABD and△ACD;

Given that ∠BAD=∠CAD−−−−(condition 1)

since AD is diameter,∠ABD=∠ACD=90

0

So ∠ADB=∠ADC−−−−−−−−(condition 2)

AD=AD (common side)−−−−−(condition 3)

So the triangles are congruent by ASA rule.

Hence AB=AC.

Answer:

$3.40

Step-by-step explanation:

4x.40 is 1.60

2x.90 is 1.80

Then you take 1.80+1.60 to get $3.40 Hope this helps!

Answer:

6

Step-by-step explanation:

change up the formula so:

sqrt (10^2-8^2)= 6

Answer:

This would be a right triangle

Step-by-step explanation:

Answer:

1st one is correct ....................

Answer:

x = 8, y = 12

Step-by-step explanation:

Since the triangles are congruent, we know that the parallel sides are equal to each other.

So,

4x - 7 = 3x + 1

4x - 3x = 1 + 7

x = 8

x + y = 20

8 + y =20

y = 20 - 8

y = 12

Answer:

Look below.

Step-by-step explanation:

Log3^4x

4xLog3 ------> To expand you would take the exponent and put infront of Log

This is the answer if its expanded. The question was sort of scarce so if this is wrong im sorry.

The expansion of the given logarithm [tex]\mathbf{Log_3 (4x^2)}[/tex] is [tex]\mathbf{= 2log_3(2)+2log_3(x)}[/tex]

A Logarithm is an exponent to which a base must be raised in order to result in a given number. The expansion of the logarithm takes a predictable approach and set guidelines.  

Using the set formula for solving logarithms;

[tex]\mathbf{log_a(x^n) = n \ log_a \ x}[/tex]

Let's assume that the correct equation given is:
[tex]\mathbf{=Log_3 (4x^2)}[/tex]

Using the above formula, we have

[tex]\mathbf{= 2 Log_3 (4x)}[/tex]

By expansion;

[tex]\mathbf{= 2log_3(2)+2log_3(x)}[/tex]

Learn more about logarithm here:

https://brainly.com/question/237321

Answer:

steps:

Answer:

fruit-21

lemonade -14

Step-by-step explanation:

to find out how many parts you have you add 3 and 2 together, this gives you 5, 36÷5=7 so for every 1 of each you have 7, 3×7=21, 2×7=14

Answer:

Step-by-step explanation:

F/L=3/2

F=3L/2

F+L=35, using F found above makes this become

3L/2+L=35

3L+2L=70

5L=70

L=14, since F=3L/2

F=3(14)/2

F=21

So she needs

Fruit juice=21 liters

Lemonade=14 liters

Answer:

90%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer:

Change in water level over thr period Given is 11.16 mm

Step-by-step explanation:

The change in water level. In the part of the river observed will be ;

Water level. = The rate of change in water level per year * period

Rate of change in water level = 1.8mm /year

Number of years = 6.2

The change in water level is thus :

1.8 mm / year * 6.2 years

= (1.8 mm / year * 6.2

= 11.16 mm

Answer:

your answer should be B :)

Answer:

I think it's 1/4 or .25

Answer:

the answer to the blank is 5

(just in case you're confused) the answer is 5:9

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

896

7 goes into 8 once

Subtract 7 from 8 and bring the one down.

8 goes into 19 twice

Subtract 14 from 19 and bring the five down.

7 goes into 56 eight times.

So your answer is 128.

Hope this helps

Answer:

167.55 ur welcom

Answer:

1.66 pounds

Step-by-step explanation:

4.98 dollars divided by 3 pounds

Using the constant of proportionality, the value of  when y is 3.25 is 0.5 from the inverse variation.

An rise in one variable causes a decrease in the other and vice versa in a mathematical relationship between two variables known as inverse variation, also known as inverse proportionality or inverse relationship. The following equation represents inverse variation:

y = k/x

In this equation, "y" and "x" stand in for the two variables, and "k" is the variational constant. Throughout the connection, the constant of variation has a set value that never changes.

Using the data given;

y = kx

Let's find the value of k;

k = constant of proportionality

13 = k(2)

k = 13/2

k = 6.5

Using the value of k;

3.25 = 6.5x

x = 3.25 / 6.5

x = 0.5

NB: The options given are incorrect and if you will follow through the steps, you will understand the options are incorrect.

Learn more on inverse variations here;

https://brainly.com/question/31987518

#SPJ1

Answer:

900 feet

Step-by-step explanation:

300x3=900 she walked 900 feet

Answer:

The area of a square with side length of 2 inches is 4 square inches.

The area of a circle with radius 1.2 inches is:

[tex]\pi \times (1.2) ^{2} \\ = 3.14 \times 1.44 \\ = 4.5216 \: square \: inches[/tex]

That is approximately 4.5 square inches.

Hence, the area of the square (4) is less than {<} that of the circle (4.5)!

Answer:

I assume you are finding for z so

z=

Step-by-step explanation:

34+66 = -32+z+32

100 = -32+z+32

132 = z+32

100 = z

z = 100

Answer:

[tex]21n^{2} - 35[/tex]

Step-by-step explanation:

[tex]7n(-2n+5n-5)[/tex]

[tex]-14n^{2} + 35n^{2} - 35[/tex]

[tex]21n^{2} - 35[/tex]

Answer:

I think 4?????

Step-by-step explanation:

I don't know

Answer:

...

2 + 2 = 4

hope that helps...

Answer:

96

Step-by-step explanation:

yeee

Answer:

Step-by-step explanation:

Here's how to subtract 4/9 from 2/4:

[tex]\frac{2}{4} -\frac{4}{9}[/tex]

Step 1:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 2 by 9, and get 18.

Then we multiply 4 by 4, and get 16.

Next we give both terms new denominators -- 4 × 9 = 36.

So now our fractions look like this:

[tex]\frac{18}{36} -\frac{16}{36}[/tex]

Step 2

Since our denominators match, we can subtract the numerators.

18 − 16 = 2

So the answer is:

[tex]\frac{2}{36}[/tex]

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

[tex]\frac{2}{36}[/tex]÷2=[tex]\frac{1}{8}[/tex]

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.

There you have it! The final answer is:

[tex]\frac{1}{8}[/tex]

Answer:

17

Step-by-step explanation:

The range of the data is the range between the highest and lowest data point so in this case its 132 - 115

Answer:

17

Step-by-step explanation: