Yes and no you do not use the slash you use ^
Answer:
y+1=3(x-4)
Step-by-step explanation:
Hi there!
We are given a slope of 3 and a point (4,-1).
We need to find the equation of the line in point-slope form
Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point
We have all of the needed information to substitute into the formula
First, let's label the values of everything to avoid any confusion
m=3
x1=4
y1=-1
now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*
y--1=3(x-4)
simplify
y+1=3(x-4)
That's it!
Hope this helps :)
Answer:
x= 81°, z= 99°, y°=68°
Step-by-step explanation:
considering the part of the triangle where 36° , 63° and x° is located as ΔABC.
to find the measure of x we use angle sum property.
We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.
so,
∠A + ∠B +∠C = 180°
36° + 63° + x° = 180°
99° + x° = 180°
x° = 180 - 99
x° = 81°
When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.
x° + z° = 180°
81° + z = 180°
z= 180 - 81
z= 99°
considering the next part of the triangle where 13° , z° and y° is located as ΔACD
to find the measure of y we use angle sum property.
∠A + ∠C + ∠D = 180°
13° + z° + y° = 180°
13°+99°+y°= 180°
112°+ y° = 180°
y°= 180- 112
y° = 68°
The value of the variable x is 3/4
<h3>What are congruent segments</h3>
Congruent segment are segments with equal or congruent lengths.
From the information given, we have that line AB is approximately equal to line BC. This is represented as;
AB = BC
Where;
Now, let's equate the expressions
4x + 7 = 20x - 5
collect like terms
4x - 20x = - 5 - 7
- 16x = - 12
Make 'x' the subject of formula
x = -12/-16
x = 3/4
Thus, the value of the variable x is 3/4
Learn more about line segments here:
brainly.com/question/1388250
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Answer:
Step-by-step explanation:
Given:

To find 
Using trigonometric relations for sums and differences of squares of the ratios.
We know:

Plugging in
in the above relation.

Subtracting both sides by 0.75.


Taking square root both sides.

∴
(Answer)