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3 years ago

In two or more complete sentences describe the process in writing the equation of a line given two points?

Mathematics

1 answer:

Alona [7]3 years ago

4 0

Answer:

First, we have to find slope. We do that by using slope formula. Once we have found slope, we have start to write our equation in slope-intercept form. To get the complete equation, we need to find the y-intercept. To do so, we simply plug in one of the coordinates given to us into our half-formed equation. We should be able to find the y-intercept and then have our complete linear equation once we write it all out.

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: $m = \frac{y_2-y_1}{x_2-x_1}$

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How many equal sides does a rhombus have

Westkost [7]

A rhombus has two equal sides

7 0

3 years ago

(3n^2+13n^3+5n)-(7n+4n^3)

Fantom [35]

Answer: n*(3n+2)*(3n-1)

Step-by-step explanation:

4 0

3 years ago

The function h(x) is defined as shown.

pav-90 [236]

1. For x<3, h(x)=x+2

now x+2 is an increasing line (a practical way to check, h(1)=3, h(2)=4)

the largest value it takes is at 3, not inclusive, so h(3)=5 not inclusive.

Range_1= (-∞, 5)

2. for x> or equal to 3, h(x)=-x+8, which is a decreasing line (check h(4)=4, h(5)=3 )

so this line takes its maximal value at x=3, f(3)=5 and then takes any other value to -∞.

Range_2=(-∞,5]

3. Range(h)=Range1∪Range2=(-∞, 5)∪(-∞,5]=(-∞,5] (B)

6 0

3 years ago

Read 2 more answers

Jackie scored 81 and 87 on her first two quizzes . Write and solve a compound inequality to find the possible values for a third

asambeis [7]

Answer:

The third score must be larger than or equal to 72, and smaller than or equal 87

Step-by-step explanation:

Let's name "x" the third quiz score for which we need to find the values to get the desired average.

Recalling that average grade for three quizzes is the addition of the values on each, divided by the number of quizzes (3), we have the following expression for the average:

$average=\frac{81+87+x}{3}$

SInce we want this average to be in between 80 and 85, we write the following double inequality using the symbols that include equal sign since we are requested the average to be between 80 and 85 inclusive:

$80\leq average\leq 85\\80\leq \frac{81+87+x}{3} \leq 85\\80\leq \frac{168+x}{3} \leq 85$

Now we can proceed to solve for the unknown "x" treating each inaquality at a time:

$80\leq \frac{168+x}{3}\\3*80\leq 168+x\\240\leq 168+x\\240-168\leq x\\72\leq x$

This inequality tells us that the score in the third quiz must be larger than or equal to 72.

Now we study the second inequality to find the other restriction on "x":

$\frac{168+x}{3} \leq 85\\168+x\leq 85 *3\\168+x\leq 255\\x\leq 255-168\\x\leq 87$

This ine $72\leq x} \leq 87$ quality tells us that the score in the third test must be smaller than or equal to 87 to reach the goal.

Therefore to obtained the requested condition for the average, the third score must be larger than or equal to 72, and smaller than or equal 87:

4 0

3 years ago

The area of a circle is 616cm find the radius

Leokris [45]

<h3>Given :-</h3>

Area of Circle = 616 cm²

Radius of a circle = ?

<h3>Solution :-</h3>

☼︎ <u>Radius of the Circle</u>;

<h3>Using Formula:</h3>

$\\ \red\bigstar {\underline{\boxed{\color{springgreen}{\textsf{ \textbf{ \: Area \: of \: circle= \: \: π \: r \: ² \: }}}}}} \\\\$

<u>Putting values in the formula;</u>

$\\ \sf \implies \: Area \: = \: \pi \: r \: ^{2} \\$

$\\ \sf \implies \: 616 \: = \:\frac{22}{7} \times \: r \: ^{2} \\$

$\\ \sf \implies \: 616 \: \times \: \frac{7}{22} \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \frac{ \: \: 4312 \: \: }{22} \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \cancel{\frac{ \: \: 4312 \: \: }{22} }\: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \: \: 196 \: \: = \: \: r \: ^{2} \\$

$\\ \sf \implies \: \:r \: ^{2} = \: 196 \: \: \: \: \\$

$\\ \sf \implies \: \:r \: = \sqrt{ \: 196 \: } \\$

$\\ \bf \implies \: \:Radius \: = 14 \: cm \\$

henceforth, the Radius of a circle is 14 cm ...!!

6 0

1 year ago

Read 2 more answers