Answer:
Step-by-step explanation:
Take a triangle ABC, in which AB=AC.
Construct AP bisector of angle A meeting BC at P.
In ∆ABP and ∆ACP
AP=AP[common]
AB=AC[given]
angle BAP=angle CAP[by construction]
Therefore, ∆ABP congurent ∆ACP[S.A.S]
This implies, angle ABP=angleACP[C.P.C.T]
write an equation in point slope form of the line that passes through the point (-3,6) and has a slope of 5
Answer:
y=5x+6
Step-by-step explanation:
use the equation y=mx+b
m=slope and b=y-intercept
You can go ahead and insert 5 into the equation because we know that the slope of the line is 5. for b. the y-intercept, we know that points are in (x,y) form so we can infer that -3 is the x and 6 is the y. from here you can plug in the number 6 for b and there's your equation. hope this helps!!
The required equation of the line for given slope and point is y = 5x + 21.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
The given point and slopes are (-3, 6) and 5 respectively.
The equation of the line can be written by plugging all the values in y = mx + c as follows,
6 = -3 × 5 + c
⇒ c = 21
Thus, the equation can be written for m = 5 and c = 21 as below,
y = 5x + 21
Hence, the equation of the line in point slope form is given as y = 5x + 21.
To know more about slope click on,
https://brainly.com/question/3605446
#SPJ2
What is the first operation to use to simplify the expression 3,500/ (34+8x2) -4
Answer:
x
Step-by-step explanation:
PLEASE HELP NOW !!!!!!!!! Please answer blank spaces with the correct answers, I will literally do anything in return, I can cashapp you or whatever, JUST PLEASE HELP ME!! Asking nicely :)
Answer:
You can Ask nicely about that,
we are not doing your homework for you.
if you have question, put it on the question.
not giving us a doc.
We do not want anything returned
Thankyou
Answer:
All results in the explanation
Step-by-step explanation:
To make the equation of the line, we only need two points. Select from the table the points (-1,4) and (3,9).
First, find the slope of the line:
We know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
\begin{gathered}\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\\\end{gathered}m=x2−x1y2−y1
Substituting:
\displaystyle m=\frac{9-4}{3+1}=\frac{5}{4}m=3+19−4=45
This value is used in the slope-point form of the line:
\displaystyle y-k=\frac{5}{4}(x-h)y−k=45(x−h)
Where (h,k) is a point from the table, select for example (3,9):
\displaystyle y-9=\frac{5}{4}(x-3)y−9=45(x−3)
Operate:
\displaystyle y=\frac{5}{4}\cdot x-\frac{5}{4}\cdot 3+9y=45⋅x−45⋅3+9
\displaystyle y=\frac{5}{4}\cdot x+\frac{-15+36}{4}y=45⋅x+4−15+36
The equation of the line is:
\boxed{\displaystyle y=\frac{5}{4}\cdot x+\frac{21}{4}}y=45⋅x+421
Now complete the table.
For x=0:
\displaystyle y=\frac{5}{4}\cdot 0+\frac{21}{4}y=45⋅0+421
y=\frac{21}{4}y=421
For x=15
\displaystyle y=\frac{5}{4}\cdot 15+\frac{21}{4}y=45⋅15+421
\displaystyle y=\frac{75}{4}+\frac{21}{4}=\frac{96}{4}=24y=475+421=496=24
y=24
For y=1.5, find x:
\displaystyle 1.5=\frac{5}{4}\cdot x+\frac{21}{4}1.5=45⋅x+421
Operate:
\displaystyle 1.5-\frac{21}{4}=\frac{5}{4}\cdot x1.5−421=45⋅x
Multiply by 4:
\displaystyle 6-21=5 x6−21=5x
Solve:
x=-15/5=-3x=−15/5=−3
x=-3
there are two answers to |x − 2| − 8 = 10
Answer:
x=20, x=-16
Step-by-step explanation:
|x-2|-8=10
|x-2|=18
x-2=18 x-2=-18
x=20 x=-16
Can Yall Help Me !Solve For X.
Answer:
x = 4°
Step-by-step explanation:
10x+2°+62° = 25x+4°{ the exterior angle formed by producing the side of triangle is equal to two non-adjacent angle}
or, 10x + 64° = 25x+4°
or, 10x-25x = 4°-64°
or, -15x = -60°
or, x = -60°/-15
or, x = 4°
What is significance of function in real life situation?
Answer:
functions are the foundation of the modern world view
Step-by-step explanation:
It has been said that "Insanity is doing the same thing over and over again and expecting different results." A functional relationship ensures that any given input will always result in the same output. That is a relationship that is not a function, where the same input can give different outputs, is equivalent to insanity.
Virtually all of modern science is predicated on the assumption that same inputs produce same outputs. In cases where that does not happen, we attribute the different outputs to inputs that have not yet been identified. In short, functional relationships are the foundation of our view of the world.
A race track is made from two straights and two semicircles. The straights are 80m long. The race track has a total perimeter of 400m.
Calculate the distance,d, between the two straights.
Answer:
76.4 m
Step-by-step explanation:
The race track has two straights and two semi circles.
Each straight is 80m
total perimeter for the straights is 80 * 2 = 160m
two semi circles which creates a full circle
perimeter of a full circle = [tex]\pi[/tex] d
NB : (d) is the diameter
therefore we can find the value of the diameter
400 = 160 + [tex]\pi[/tex] d
400- 160 = [tex]\pi[/tex]d
240 = [tex]\pi[/tex]d
d = 240/[tex]\pi[/tex]
d = 76.394.....
d = 76.4 m
A grocery store sells a bag of 5 oranges for $3.10 if Levi spent $2.48 on oranges, how many did he buy
Answer:
4 oranges
Step-by-step explanation:
3.10 ÷ 5 = .62
.62 × 4 = 2.48
If a=2 and b=3 then does ab=ba? Yes or no
Answer:
Yes
Step-by-step explanation:
ab = ba when a = 2 and b = 3
(2)(3) = (3)(2)
6 = 6
Best of Luck!
write an equation in point slope form and change into slope intercept form
m= -4 contains (0,3)
explain the work plz
Answer:
y -3 = -4(x -0) or y -3 = -4xy = -4x +3Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
Fill in the given values:
y -3 = -4(x -0) . . . . point-slope form of the equation of the line
__
To get this to slope-intercept form, you want to rearrange it to ...
y = mx + b
Eliminating parentheses get you ...
y -3 = -4x
Adding 3 puts the equation in the desired form:
y = -4x +3
What is the opposite of 5/7 and the opposite of 7/18?
Answer:
7/5
-18/7
Step-by-step explanation:
A baker buys three cartons each with 6 eggs, two cartons each with 12 eggs, and twenty cartons each with 18 eggs. Which expression represents the problem? (3 + 6) x (2 + 12) x (20 + 18) (3 x 6) + (2 x 12) + (20 x 18) (25 + 6) x (25 + 12) x (25 + 18) (25 x 6) + (25 x 12) + (25 x 18)
Answer:
(3 x 6) + (2 x 12) + (20 x 18)
Step-by-step explanation:
Number of cartons containing 6 eggs [tex]=3[/tex]
Number of cartons containing 12 eggs [tex]=2[/tex]
Number of cartons containing 18 eggs [tex]=20[/tex]
So,
expression that represents the problem is given by
Number of cartons containing 6 eggs + Number of cartons containing 12 eggs + Number of cartons containing 18 eggs = (3 x 6) + (2 x 12) + (20 x 18)
I NEED HELP ASAPPPP‼️‼️‼️
SOMEONE PLEASE HELP ME WITH THIS QUESTION‼️‼️‼️
AND I PROMISE YOU I WILL AWARD YOUR ANSWER AS BRAINLIEST ANSWER❤️❤️‼️‼️
Answer:
40 degrees
Step-by-step explanation:
Mark me as brainliest
Answer:
First find the angle next to 110 °
110+?=180 (linear pair)
? = 180-110
? = 70
Since the triangle is isosceles, the bottom two angles are 70 °.
Now, to find x....
All interior angles of a triangle equals 180°.
180 = 70+70+x
180 = 140+x
x = 180-140
x = 40
In an animal shelter, the ratio of dogs to cats is 5 to 3. If there are
25 dogs, how many cats are in the shelter? (Make a ratio able to
help you solve)
Answer:
15
If you simplify 25;15 then it is 5;3
Given b(x) = |x+4], what is b(-10)?
-10
-6
8
14
Answer:
b(-10) = 6
Step-by-step explanation:
Step 1: Define
b(x) = |x + 4|
b(-10) is x = -10
Step 2: Substitute and Evaluate
b(-10) = |-10 + 4|
b(-10) = |-6|
b(-10) = 6
The ratio of green to yellow candies is 2:5. If there are 32 green candies, how many green and yellow candies are there all together?
Answer:
112 I believe the answer is
find value of each of the following 13-(54)
Answer:
-41
Step-by-step explanation:
13 - (54) simplifies to 13 - 54, which in turn is -41.
If 5-y^2=x^2 then find d^2y/dx^2 at the point (2, 1) in simplest form.
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
Take implicit differentiation: -2yy' = 2xIsolate y': y' = 2x/-2yIsolate y': y' = -x/yStep 3: Find d²y/dx²
Quotient Rule: y'' = [y(-1) - y'(-x)] / y²Substitute y': y" = [-y - (-x/y)(-x)] / y²Simplify: y" = [-y - x²/y] / y²Multiply top/bottom by y: y" = (-y² - x²) / y³Factor negative: y" = -(y² + x²) / y³Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5
Stacey has -$17 in her bank account. She spends $35 at a clothing store and another $7 at the farmer’s market. What is her new bank account balance?
Answer:
-$59
Step-by-step explanation:
Stacey started out with -$17 in her bank account.
35 + 7 = 42
Stacey spent $42 dollars in total.
-17 - 42 = -59
Stacey should have -$59 as her new bank account balance.
Hope this helps.
PLEASE HELP MEEEEEE!!!!WORTH 30 POINTS!!
Answer:
I MESSED UP ITS B.
Step-by-step explanation:
5x + 6 = 46. Is x = 8 a solution for this equation? Justify your answer by
showing your step with explanation.
Answer:
x = 8Step-by-step explanation:
5x + 6 = 46. Is x = 8
5x + 6 = 46
subtract 6 to each side
5x + 6 - 6 = 46 - 6
simplify:
5x = 46 - 6
divide 5 both sides
x = 40 / 5
simplify:
x = 8
Answer:
Yes.
Step-by-step explanation:
[tex]5x+6=46[/tex]
To check to see if x = 8 is a solution, replace 'x' with 8 and evaluate.
[tex]5(8)+6=46\\\\40+6=46\\\\\boxed{46=46}[/tex]
We get a true statement. This means that x = 8 is a solution to the equation.
Hope this helps.
WILL MARK YOU BRAINLIEST NO GUESSES!!!! The options are
A 2:3
B 3:2
C 2:5
D 3:5
Answer:
C 2:5
Step-by-step explanation:
Please help me it is needed
Answer:
B:distinct parellel lines
Step-by-step explanation:
Which expression is equivalent to 5(2x-4)?
Answer:
c. 10x - 20
Step-by-step explanation:
its the c.
J(x)= 2x + 9
J(x) = 17
1. find the y-intercept of (2, 7) and (-4, -2)
2. Find the y-intercept of (-7, 0) and (-3, 6)
3. Find the y-intercept of (6, 0) and (9, -2)
Please help I am struggling with y-intercept, I need one point for each question so I can graph it. It’s due by 10:30 pm tonight
Answer:
1. 4, 2. 9
Step-by-step explanation:
1. you graph both points and draw lines between them.
2. find the slope
3. if you're too lazy to find the slope, keep drawing the line until it hits the Y line.
4. find the number the line lands on
5. thats ur answer buckaroo
simplify the expression:
8 (1 + 3s) =
1/2 + 2/3 divided by 1/6
Answer:
4 1/2
Step-by-step explanation:
Step 1:
1/2 + 2/3 ÷ 1/6 Equation
Step 2:
1/2 + 2/3 × 6/1 Flip the Fraction
Step 3:
1/2 + 2/1 × 2/1 Simplify
Step 4:
1/2 + 4 Multiply
Answer:
4 1/2 Add
Hope This Helps :)
Is the line through points P(3, –5) and Q(1, 4) parallel to the line through points R(–1, 1) and S(3, –3)? Explain. a No; the lines have unequal slopes. b Yes; the lines have equal slopes. c No; one line has zero slope, the other has no slope. d Yes; the lines are both vertical.
Answer:
3
Step-by-step explanation:
The Answer would be Option A) No, the lines have unequal slopes.
What is the slope of a line which passes through points ( p,q) and (x,y)?Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Slope of parallel lines are same. Slopes of perpendicular lines are negative reciprocal of each other.
Slope of first line,
[tex]m = \dfrac{y-q}{x-p}\\\\m = \dfrac{4-(-5)}{1-3}\\\\m = \dfrac{9}{-2}[/tex]
Slope of second line,
[tex]n = \dfrac{y-q}{x-p}\\\\n = \dfrac{-3-1}{3-(-1)}\\\\n = -1[/tex]
Thus, The Answer would be Option A) No, the lines have unequal slopes.
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ2
At the South Gwinnett High School game, 35 out of 50 people entered with a mask on, without being reminded at the door. If this sample is representative of the 250 people attending the game, about how many of them will probably be wearing a mask without being reminded?
Answer:
175 people
Step-by-step explanation:
In order to calculate this, we first need to find out what percentage 35 out of 50 people actually represents. We do this by dividing 35 by 50 and then multiplying that decimal by 100% to turn it into a percentage like so...
35 / 50 = 0.70
0.70 * 100 = 70%
Now we know that 70 percent of the individuals did not have to be reminded of wearing a mask. If this percentage or ratio remains constant, then we can simply multiply the number of people at the game by this percentage in decimal format in order to calculate the total amount of people that will probably be wearing a mask.
250 * 0.70 = 175 people
There should be a total of 175 people wearing a mask without being reminded.
