Answers
Answer:
x = - 2.5, 1
Step-by-step explanation:
In the given figure, JM and JK are the tangents drawn from the external point J to the [tex] \odot[/tex] L, Points K and M are points of tangency.
Since, tangents drawn from external point to a circle are congruent.
[tex]\therefore JM = JK\\\therefore 2x^2 +3x - 2 = 3\\\therefore 2x^2 +3x - 2 -3=0\\\therefore 2x^2 +3x - 5 =0\\\therefore 2x^2 - 2x + 5x - 5 =0\\\therefore 2x(x - 1) + 5(x - 1) =0\\\therefore (x - 1) (2x+ 5) =0\\\therefore x - 1 = 0\: or \: 2x + 5= 0\\\therefore x = 1\: or \:2x = - 5\\\therefore x = 1\: or \:x = - 2.5\\\huge \purple {\boxed {\therefore x = \{-2.5,\: 1\}}}[/tex]
Related Questions
Simplify by combining like terms.
6r+3s+2s+4r
Answers
Answer:
In combining like terms=6r+4r. 2s+3sMaking it=10r and 5r.
This method is used in like questions. Similar ones
Algebraic expression also.
Ask if you need further explanation.
Please,a Brainliest
BRAINLIEST I NEED HELP BRAINLIEST BRAINLIEST BRAINLIEST BRAINLIEST I looked on google and I am not looking for that
Answers
Answer:
well 20 years ago industrialization and technological advances had not been a major change in humanity as it is now so due natural processes were followed in food production but now with an advancement in research everyday food production now have to go through the laboratories instead of cultivation of farmland in order to satisfy our ever growing population which has reduced significantly the production and consumption of healthy foods coupled with the introduction of junks which many use to substitute normal food.
Answer:
What is the photo
Step-by-step explanation:
The temperature went from -12°F to 18°F. How much did the temperature change?
Answers
Answer: the temperature went up by +30
Step-by-step explanation:
Plz help ASAP I need to get this done
Answers
The map below shows the length of a proposed land bridge at Phil Hardberger Park. The length of the land bridge is represented by PH
in the map below.
P(2,55)
H(32, 15)
On the map, each unit represents 1 yard. To the nearest yard, what is the actual length of the land bridge from P to H?
A 50 yards
B. 150 yards
C. 78 yards
D. 234 yards
Answers
Answer:
A; the actual length of the land bridge from P to H is 50 yards
Step-by-step explanation:
Here in this case, given the coordinates of P and H, we want to calculate the actual length of the distance between the two points.
Mathematically, to calculate this distance, we make use of the distance formula;
D = √(x2-x1)^2 + (y2-y1)^2
In this case, (x1,y1) = (2,55) while (x2,y2) = (32,15)
Substituting these values
D = √(32-2)^2 + (15-55)^2
D = √(-30)^2 + (-40)^2
D = √(900 + 1600)
D = √(2,500)
D = 50 units
Now, we know that each units represent 1 yard, thus 50 units will represent 50 * 1 = 50 yards
find the sum 59.34+1.85
Answers
Answer:
61.19
Step-by-step explanation:
59.34+1.85=61.19
Answer:
61.19
Step-by-step explanation:
59.34+1.85=61.19 if this is correct i hope this does help u in simple mathematics
convert 5 milligrams Into grams
Answers
Answer:
500 grams
Step-by-step explanation:
will be the answer
hp it helps you
Answer:
0.005
Step-by-step explanation:
©Peter, Bridget and Caroline share some sweets in the ratio 2:5:2. Peter gets 14 sweets. How
many did Bridget get
Answers
Answer: 35 sweets
Step-by-step explanation:
2:5:2= 9
peter= 2/9 x a= 14
it then turns to
9/2 x 14= 63
so bridget will get:
5/9 x 63
35 sweets
Helppp!!! Which factor is important to consider when buying a car for commuting long
distances to work?
Advertising campaigns
O Horsepower
O Exterior color
Maintenance plan
Answers
Answer:
I'd say maintenance plan.
Step-by-step explanation:
I know I'm super late but maintenance plan is important for long distances incase something goes wrong while you're too far from home or something.
A maintenance plan is important to consider when buying a car for commuting long distances to work.
What is a Car?
The car is a four-wheeled road vehicle that is powered by an engine and is able to carry a small number of people.
How to solve it?The maintenance plan is important for long distances in case something goes wrong while you're too far from home or something.
Learn more about Car:
https://brainly.com/question/19060007
#SPJ2
Please help me with this
Answers
Answer:
-9 3/4
Step-by-step explanation:
The last step is to simplify the fraction into a mixed one.
Step by step:
-18=5x-3(3x+7)
-18=5x-9x-21
-18=-4x-21
4x=-21+18
4x=-3
x=-3/4
can someone teach me how to solve this? the lesson didnt show anything about it
Answers
work:
3x+15=5x-5
-3x+5 -3x+5
20=2x
20/2 2x/2
10=x
Liza draws an angle that measures 150 degrees.She then draws a ray that divides the angle into 2 equal parts. What is the measure of each smaller angle?
Answers
Step-by-step explanation:
Liza draws an angle that measures 150 degrees.She then draws a ray that divides the angle into 2 equal parts
The given angle measures 150 degrees
She draw a ray that divides 150 degrees in to two equal angles
So we divide the angle 150 into two equal angles
[tex]\frac{150}{2} =75[/tex]
Two equal angles measures 75 degree each
So the measure of each smaller angle is 75 degrees
Answer:
75 degree
what property is 8a+4=4+8a
Answers
Answer: All real numbers are solutions
Step-by-step explanation:
is 0.19 rational or irrational?
Answers
Answer:
this number is rational because you can write it as a fraction 19/100
7x + (9x + 8) = (7x + 9x) + 8 is what property
Answers
How do you solve this 5b-28>27
Answers
4(5a-2b)-2(4a-5b)
Expand the brackets and simplify the question
Answers
Answer:
12a+2b
Step-by-step explanation:
1. Expand by distributing terms.
20a-8b-2(4a-5b)20a−8b−2(4a−5b)
2. Expand by distributing terms.
20a-8b-(8a-10b)20a−8b−(8a−10b)
3. Remove parentheses.
20a-8b-8a+10b20a−8b−8a+10b
4.Collect like terms.
(20a-8a)+(-8b+10b)(20a−8a)+(−8b+10b)
5. Simplify.
12a+2b12a+2b
6.Answer
12a+2b
That is the answer because:
Following the distributive property
4*5a=20a
4*-2b=-8b
-2*4a=-8a
-2*-5b=10a
So now you have
20a-8b-8a+10a
So combine like terms
12a+2b
Greg can drive 160 miles with 5 gallons of gas how many miles can he drive on one gallon of gas
Answers
Answer:
160 / 5 = 32 miles
Step-by-step explanation:
Use number properties to simplify the following expression.
-5 + (5 + 3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
plzzzz help will give brain list !!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
3
Step-by-step explanation:
the answer is 3, because you always have to add the numbers in paranthises first. and 5+3= 8. u bring down the -5 and you have -5 + 8 = 3.
Answer:
3
Step-by-step explanation:
Always do the stuff in the parentheses first
-5 + (5 + 3)
-5 + 8
= 3
Write an equation for the description.
The difference between a number x and 18 is 23.
Answers
Because difference means subtract
please help asap :-)
Answers
X: 22
m<( 19x + 3): 22
m<( 9x + 16): 25
m<( 6x + 15): 21
The expression 12.50h+b represents the amount of money in her savings account after she deposits her next paycheck. What does b represent in the expression? A. new savings account balance B. number of hours worked C. hourly pay rate D. current savings account balance
Answers
Answer:B number of hours worked
Step-by-step explanation:
It says after she puts in her next paycheck therefore she needs to work hours to get paid
is 6.3434 rational or irrational
Answers
Answer:
it is a rational number
Step-by-step explanation:
4. What is the prime factorization of 610?
Answers
Answer: Positive Integer factors of 610 = 2, 5, 10, 61, 610 divided by 2, 5, 61, gives no remainder. They are integers and prime numbers of 610, they are also called composite number.
Step-by-step explanation: In the answer hope it helps
4x + 6
7x+ 15
AC = 120. What
are AB and BC?
Answers
Answer:
AB = 42
BC = 78
Step-by-step explanation:
AB = 4x + 6
BC = 7x + 15
AC = 120
A to B plus B to C is the same distance as from A to C, which is 120.
AB + BC = AC
(4x + 6) + (7x + 15) = 120
4x + 7x + 6 + 15 = 120
11x + 21 = 120
Subtract 21 from both sides.
11x = 120 - 21 = 99
11x = 99
Divide both sides by 11.
x = 9
AB = 4x + 6 = 4*9 + 6 = 36 + 6 = 42
BC = 7x + 15 = 7*9 + 15 = 63 + 15 = 78
Answer:
AB = 42
BC = 78
Answer:
x = 9
AB = 42
BC = 78
Step-by-step explanation:
AB + BC = AC
4x + 6 + 7x + 15 = 120
11x + 21 = 120
11x = 99
x = 9
AB = 4x + 6 = 4(9) + 6 = 36 + 6 = 42
BC = 7x + 15 = 7(9) + 15 = 63 + 15 = 78
Christian's car used 15 gallons to travel 270 miles. How far can he travel on 11 gallons? helps
Answers
Answer:
198 miles
Step-by-step explanation:
1 gallon gets 18 miles, 18 times 11 equals 198
Leroy took a total of 10 pages of notes during 5 hours of class. In all, how many hours will Leroy have to spend in class before he will have a total of 20 pages of notes in his notebook? Solve using unit rates.
Answers
Answer:
20:10 10 hours
Step-by-step explanation:
10:5 * 2 = 20:10 or 10:5 / 5 : 2:1 * 20 = 20:10
Which of these can change while you’re reading?
A. The sound associated with each letter
B. Your purpose
C. The meaning of the words
D. Your reciting voice
Answers
Answer:
It’s B
Step-by-step explanation:
if 2is the zero of the polynomial f(x)=x^2-8x+k then the value of k is
Answers
Answer:k=12
I hope this helps
Answer:
12
Step-by-step explanation:
zero of the polynomial is 2 ⇒ f(2) = 0
f(2) = 2² - 8 × 2 + k = 0
4 - 16 + k = 0
k = 12
After distributing the terms (2x + 3) (4x – 5), you get a new expression of the form
ax+ bx + c
What is the value of a?
What is the value of b?
What is the value of c?
Answers
Answer:
Value of a = 8
Value of b = 2
Value of c = - 10
Step-by-step explanation:
[tex](2x + 3)(4x - 5)[/tex]
[tex] = > 2x(4x - 5) + 3(4x - 5)[/tex]
[tex] = > 8 {x}^{2} - 10x + 12x - 15[/tex]
[tex] = > 8 {x}^{2} + 2x - 10[/tex]
As per the general form of a quadratic eqn. [tex]a {x}^{2} + bx + c[/tex]
Value of a = 8
Value of b = 2
Value of c = - 10
