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pentagon [3]
3 years ago
13

Find the equation of the line, where P is a point on the graph of the line. m=2/3 , P(3,5)

Mathematics
1 answer:
Liula [17]3 years ago
4 0

Answer:

The answer is

y =  \frac{2}{3} x + 3

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To write an equation of a line given a point and slope we have

y - y1 = m( x - x1)

where (x1 , y1 ) is the point and m is the slope

Equation of the line using point P(3 , 5) and m = 2/3 is

y - 5 =  \frac{2}{3} (x - 3)

y - 5 =  \frac{2}{3} x - 2

y =  \frac{2}{3} x + 5 - 2

We have the final answer as

y =  \frac{2}{3} x + 3

Hope this helps you

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Determine if the following are properties write y or n for each
Paul [167]

Answer:

Answers are below

Step-by-step explanation:

5+1=6       No

78+6=76+8    Yes, commutative property of addition

2x+(3x+4x)=(2x+3x)+4x     Yes, associative property of addition

52+(-18)=(-52)+18     No

6+(-6)=0    Yes, identity property of addition

If these answers are correct, please make me Brainliest!

4 0
3 years ago
If line GH is perpendicular to line HJ, then GJ is ____ HJ.
valentinak56 [21]

Option A: >

Solution:

Given a triangle GHJ.

The line GH is perpendicular to line HJ.

This means the triangle is a right angled triangle.

In ΔGHJ, GH is the base of the triangle and

HJ is a height of the triangle.

Then the third side must be the hypotenuse of the right triangle.

We know that by the Pythagoras theorem,

(\text {Hypotenuse})^2=(\text{Base})^2+(\text{Height})^2

(\text {GJ})^2=(\text {GH})^2+(\text {HJ})^2

This clearly shows that the hypotenuse is greater than the height.

⇒ GJ > HJ

Option A: > is the correct answer.

If line GH is perpendicular to line HJ, then GJ is > HJ.

3 0
3 years ago
Which expression is equivalent <br> to 5.7 × 5.7 × 5.7?
Burka [1]
The answer is C!!!!!!!!!!!
4 0
2 years ago
Read 2 more answers
Simplify 5m-2(6m-5)+2<br><br>a. -7m-8<br>b. -7m+12<br>c. 17m+12<br>d. 17m-8
fgiga [73]

The answer is B. -7m+12.


First distribute the -2 to 6m and -5.

5m-2(6m-5)+2

5m+(-2*6m)+(-2*-5)+2

5m+-12m+10+2


After that, combine the like terms.

5m+-12m+10+2

-5m+-12m=-7m

10+2=12


The simplified expression is -7m+12.

7 0
3 years ago
Triangle ABC is an isosceles right triangle inscribed in a circle. The center of the circle is point D and the diameter of the c
Paha777 [63]

Answer:

* AD is congruent to DC and BD <em>true</em>

* m∠B = 90° <em>true</em>

<u>* The measure of arc AC is equal to the measure of arc AB </u><u><em>not be true</em></u><em> ( The right answer  )</em>

* The measure of arc AB is equal to measure of arc BC <em>true</em>

Step-by-step explanation:

∵ D is the center of the circle and A , B and C are points on the circle

∴ AD , DB and DC are radii on the circle D

∴ AD ≡ DC ≡ DB

∵ AC passing through point D which is the center of the circle

∴ AC is the diameter of the circle D

∵ ∠B is opposite to the diameter of the circle and vertex B lies on the circle

∵ ∠B is an inscribed angle and  ∠ADC  is a central angle subtended by the same arc AC

∴m∠B = half m∠ADC

∵ m∠ADC = 180°

∴ m∠B = 90°

∵ The measure of arc AC = 180°

∵ ΔABC is isosceles and m∠B = 90°

∴ m∠BAC = m∠BCA = (180° - 90°) ÷ 2 = 45°

∵ ∠ACB is an inscribed angle subtended by arc AB

∴ m∠ACB = half measure of arc AB

∵ The measure of arc AB = 45° × 2 = 90°

∴ The measure of arc AC ≠ the measure of arc AB

∵ Δ ABC is an isosceles triangle and m∠B = 90°

∴ AB = BC

∵ AB subtended by arc AB

∵ BC subtended by arc BC

∴ The length of arc AB = the length of arc BC

∵ If two arcs are equal in length, then they will be equal in measure

∴ The measure of arc AB is equal to the measure of arc BC

3 0
3 years ago
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