Answer:
x = - 9, x = - 4
Step-by-step explanation:
Set (x +)(x + 9) equal to zero, that is
(x + 4)(x + 9) = 0
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 9 = 0 ⇒ x = - 9
Thus
x = - 9, x = - 4
If F is the midpoint of DE, DF = 3x+5 and FE = 5x-19 , Find DF
Answer:
41
Step-by-step explanation:
when there is midpoint it bisects the segment(cuts it in equal halfs)
3x+5 = 5x-19
3x + 24 = 5x
24 = 2x
12 = x
3(12) + 5 =
36 + 5
41
Answer:
The value of segment DF is 41 units.
Step-by-step explanation:
If we know that F is the midpoint of DE, we can conclude that DF and FE have the same value. This lets us set up the following equation:
DF = FE, which when we substitute in our given values is:
3x + 5 = 5x - 19
The next step is to solve this equation. We should start by subtracting 3x from both sides of the equation.
5 = 2x - 19
Then, we can add 19 to both sides of the equation.
24 = 2x
Finally, we can divide both sides by 2.
x = 12
Now that we have a value for x, we need to find the length of DF. To do this, we can just plug in our value for x into the given expression for DF and simplify.
DF = 3x + 5 = 3(12) + 5 = 36 + 5 = 41
Therefore, the correct answer is 41.
Hope this helps!
What is 3 + (-9) in integers
Answer:
- 6
Step-by-step explanation:
3 - 9 = -6
Answer:
-6Step-by-step explanation:
[tex]3 + (-9) \\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=3-9\\\\\mathrm{Subtract\:the\:numbers:}\:3-9\\=-6\\[/tex]
Why can’t you use the product of powers rule to simplify this expression? Explain. 34 · 28
Sample Answer: To use the product of powers rule, the powers must have the same base. In this expression, the bases are 3 and 2, which are different, so the rule does not apply.
Answer:
To apply the product of powers rule, the bases must be the same.
In this example, the bases are 2 and 3, so they are not the same.
Step-by-step explanation:
Ali has x cards.
Belinda has twice as many cards as Ali.
Charlie has 5 more cards than Ali.
They have a total of 33 cards.
(a) Show that 4x + 5 = 33
(b) Work out the number of cards Ali has.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
If Ali has x cards, then Belinda has 2x cards.
If Ali has x cards, then Charlie has x+5 cards.
2x (Belinda) + x+5 (Charlie) + x (Ali) = 33 (total)
2x + x+5 + x = 33
Now simplify the equation... x+x+5 can be simplified as 2x+5.
2x+5 plus 2x can become 4x+5.
So their total number is 4x+5.
So 4x+5=33.
You want to isolate the variables and numbers.
To remove the 5 from the left side, subtract 5 from both sides.
4x+5-5=4x - 33-5=28
So the equation now is 4x=28
To remove the 4, divide each side by 4.
4x÷4=x - 28÷4=7
So x equals 7, Ali has 7 cards.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Examples: Name the sets of numbers to which each number belongs.
Pls help ASAP I will give Brainlyist
Answer:
A
Step-by-step explanation:
I hope this helps you
Simplify the following algebraic expression:
- 2(x - 1) + 3(6x – 7)
Answer:
16x-19
Step-by-step explanation:
Step-by-step explanation:
Hey, there!
While simplifying the algebraic expression you must remember: multiply or take LCM first and then add or or subtract like terms then if there is division then you may cut like terms of numerator and denominator.
Here,
[tex] - 2(x - 1) + 3(6x - 7)[/tex]
Is given.
Multiply (x,-1) by -2 and (6x,-7) by 3.
[tex] (- 2x + 2) + (18x - 21)[/tex]
open brackets.
[tex] = - 2x + 2 + 18x - 21[/tex]
Add and subtract like terms.
[tex] = - 2x + 18x + 2 - 21[/tex]
[tex] = 16x - 19[/tex]
Therefore, the answer is (16x - 19).
Hope it helps.....
A map is created of Maricopa County with a scale factor of 1 inch = 2.5 miles. The distance between Phoenix and Fountain Hills is 2.92 inches on the map. Determine the actual distance between the two cities.
Answer:
The actual distance between Phoenix and Fountain Hills is 7.3 miles
Step-by-step explanation:
We note that the scale factor gives the ratio of the map reading to the actual distance reading
The scale factor of the map is 1 inch = 2.5 miles
The distance between Phoenix and Fountain Hills = 2.92 inches on the map
Let the actual distance between Phoenix and Fountain Hills = D, we have;
D/(2.92 inches) = 2.5 miles/inch
Therefore;
D = 2.92 inches × 2.5 miles/inch = 7.3 miles
D = 7.3 miles
The actual distance between Phoenix and Fountain Hills = D = 7.3 miles.
The Roe family of four showers once a day with an average of 10 minutes per shower. The shower has a flow rate of 5 gallons per minute. How many gallons of water does the family use in one year?
4 people x 10 minutes each = 40 minutes per day.
5 gallons per minute x 40 minutes = 200 gallons per day.
200 gallons per day x 365 days per year = 73,000 gallons a year.
Can someone please help me
Answer:
15.231
Step-by-step explanation:
The coordinates of the midpoint of GH¯¯¯¯¯¯¯¯are M(−132,−6) and the coordinates of one endpoint are G(−4, 1).
Answer: (-260, -13)
Step-by-step explanation:
To find the midpoint of a line we find the average of x coordinates and the average of the y coordinates.So since two of the endpoint is already given we could find the midpoint by setting and equation up.
[tex]\frac{-x+(-4)}{2} = -132 x= -260[/tex]
The same way for the y coordinates
[tex]\frac{y+(1)}{2} = -6[/tex] y = -13
Tanya walked for 17 minutes from her home to a friend that lives 1.5 kilometers away. D(t) models Tanyas remaining distance to walk in kilometers, T minutes since she left home. what number type is more appropriate for the domain
Answer:
Real numbers
0≤ t ≤17
Step-by-step explanation:
Answer:
Real numbers
0≤ t ≤17
Step-by-step explanation:
what is 67 divided by 4.7? round to the nearest hundredth.
Answer:
14.26
Step-by-step explanation:
brainliest plz
Solve using order of operations
Problem #1: 5 + 8: 2 - 7
Problem #2:12 X 3 - 42 + 20
Problem #3:4 :1 +8 X 2
Problem #4:17 x 3 + 15 : 3
You have $138 in a savings account and save $12 per week. Your friend has $98 in a savings account and saves $17 per week. How many weeks will it take for you and your friend to have the same balance?
Solution
Provided :-
• I have $138
• I save $12 per week
• Friend have $ 98
• He saves $17 per week
Let the number of weeks required to have same balance be x
→ 138 + 12x = 98 + 17x
→ 138 - 98 = 17x - 12x
→ 40 = 5x
→ x = 8
So we need 8 weeks
Answer: 8 weeks
Step-by-step explanation:
Let x = the number of weeks
138+12x=98+17x
40+12x=17x
40=5x
x=8
Hope this helps!! :)
Please let me know if you have any question
What type of number is 37.9?
A. Real
B . Imaginary
C. Complex
Answer:
A. Real number
Step-by-step explanation:
Fact :Real numbers that include decimal points are known as floating point numbers because the decimal floats within the numbers.
The number 37.9 is a real number which is the correct option (A).
What are real numbers?Real numbers are defined as the value of a continuous quantity that can represent a distance along a line a real number in mathematics. Rational and irrational numbers are both real numbers. Rational numbers such as integers (-7, 0, 4), fractions(5/2,7/2, 4.2), and irrational numbers such as √5, π, etc., are all real numbers.
What is a complex number?A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, and b are real numbers and i is an imaginary number.
Given that number is 37.9
Due to the fact that decimal places can move about within real numbers containing decimal points, these numbers are referred to as floating point numbers.
Hence, the number 37.9 is a real number.
Learn more about complex numbers here:
brainly.com/question/19007885
#SPJ2
Plz help fast only given 5 mins tell if they are similar or not
Answer:
They are not similar.
Step-by-step explanation:
QP would be equal to FP if they were equal but they aren't equal so....yeah
What type of answer would you expect from the problem below? Explain why you expect that type of answer.
Answer:option 1
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
I
5. A shirt that you want to buy costs
$15.50. You can use a $5 discount
coupon if you spend at least $20.
Write and solve an inequality that
represents how much more you
must spend to use the $5 coupon.
Please help solve! I tried but I’m messing this up, would really appreciate it!
Answer:
K = [tex]\frac{4r}{n} -a[/tex] n [tex]\neq 0[/tex]
Step-by-step explanation:
We have our equation [tex]r = \frac{n}{4} (a+K)[/tex] and are looking for K
First we have to switch sides :
[tex]\frac{n}{4} (a+K) = r[/tex]
Since we have a denominator of 4, we multiply both sides by 4 :
[tex]n (a+K) = 4r[/tex]
We then divide both sides by n :
[tex]a+K = \frac{4r}{n} ; n\neq 0[/tex]
Subtract a from both sides :
[tex]K = \frac{4r}{n} -a; n\neq 0[/tex]
^^^
algebra 1 I need help
There's a bit of lack of context but I think the question is just asking what variables to put in for Lucy and Howard. There seems to be no need to answer any math problem.
I suggest using the variables x and y or l for Lucy and h for Howard. Remember to use lowercase letters.
You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep out animals. Find the length of fencing you need to the nearest meter.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete has the figure of the triangle is not given.
However, the following steps will guide you.
To solve this question;
you need the lengths of the threes sides of the triangular fields
Represent these lengths with a, b and c
Next;
Sum these lengths together;
This gives the required length of fencing
[tex]Length = a + b + c[/tex]
Take for instance;
[tex]a =4;\ b = 3;\ c = 5[/tex]
The required length of fence would be
[tex]Length = 4 + 3 + 5[/tex]
[tex]Length = 12\ units[/tex]
Apply these steps and you'll get your answer
Connor is driving on a long road trip. He currently has 9 gallons of gas in his car. Each hour that he drives, his car uses up 2 gallons of gas. How much gas would be in the tank after driving for 3 hours? How much gas would be left after
Answer: 3 gallons
Step-by-step explanation:
From the question, we are informed that Connor is driving on a long road trip and currently has 9 gallons of gas in his car. We are also told that for every hour that he drives, his car uses up 2 gallons of gas.
After driving for 3 hours, his car would have used:
= 3 × 2 gallons
= 6 gallons of gas
Amount of gas left will be:
= 9 gallons - 6 gallons
= 3 gallons
Shay makes 24 liters of homemade vegetable stock. She distributes the stock equally into 8 containers to give to friends and family. How much vegetable stock is in each container?
Answer:
3 liters
Step-by-step explanation:
24/8 = 3
Answer:
Step-by-step explanation:
what are you so most to do on this answer
Use rounding to estimate the quotient.
415 = 8
5
6
50
60
Answer:
50
Step-by-step explanation:
415 is closer to 400, so just divide that by 8 to get 50.
Sarah is driving her car down George Street to meet her friend at a cafe. What is the angle of the turn she needs to make on to Green Street to get to the cafe?
Answer:
100 degrees
Step-by-step explanation:
George Street I assume is the one with the red line.
So she has to turn 40 + 60 = 100 degrees to go to Green Street
Can anyone help?i been going at this for a while and i still cant figure it out, i dont really understand how to even get the answer id appreciate some help :D
Answer:
A) 44.26
B) 9.43
C) (2.5,3.5)
D) OH
E) 26.26
Step-by-step explanation:
Let’s figure out the lengths first. Three are straight line, so are easy:
HE=9, SE=11, SU=9
The other two, you need to use the distance formula or Pythagorean Theorem. OH=8²+5²=c² = 64+25=c² = 89=c² = √89 = 9.43
OU=3²+5²=c² = 9+25=c² = 34=c² = √34 = 5.83
Now we can start answering the questions.
A) 9+11+9+9.43+5.83=44.26
B) 9.43
C) You already have: (2.5,3.5)
D) OH=9.43. EH=9. OH is longer.
E) HU is 11. OH is 9.43. OU is 5.83. 11+9.43+5.83=26.26
C is the midpoint of BD . If CD = 2x and BD = 3x + 5, what is CD?
3.48 gallons of milk is sold for $10.16. If you want to buy 10.83 gallons of milk, how
much will you have to pay?
Answer:
$31.62
Step-by-step explanation:
Assuming the price is proportional to the volume, your price will be ...
price/(10.83 gal) = ($10.16)/(3.48 gal)
price = $10.16(10.83/3.48) ≈ $31.62
You will have to pay $31.62.
breifly describe the rules of multiplying and dividing integers
Answer:
Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative. When you divide two integers with the same sign, the result is always positive.
Step-by-step explanation:
Step-by-step explanation:
in multiplication:-
- × - = +
+ × - = -
- × + = -
+ × + = +