1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
densk [106]
3 years ago
11

Solve.

Mathematics
2 answers:
lions [1.4K]3 years ago
6 0

Answer:

b=9,a=12

Step-by-step explanation:

I solved by substitution:

b = 3/4a  ---> plug this into the other equation

a + b = 21   is now    a + 3/4a = 21

Reduce: 7/4a = 21

a = 12

Now solve for b:

b=3/4a is now b=3/4(12)

b=9

Setler [38]3 years ago
6 0

Answer:

a=12 b= 9

Step-by-step explanation:

did the quiz

You might be interested in
Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. Calculate the current age of Peter. Re
OLga [1]

Answer:

21

ctto JBarnum

Step-by-step explanation:

P+11=(1/2)(P-13)^2

P+11=(1/2)(P^2-26p+169)

2(P+11)=(1/2)(2)(P^2-26p+169)

2P+22=P^2-26p+169

0=P^2-28p+147      ( -7 and -21)

(P-7)(P-21)=0

P=7,21                     (cant be 7 as 13 years from 7 is negative so peter is 21)

checking:

21+11=32

32=(1/2)(21-13)^2

32=(1/2)(8)^2

32=(1/2)64

32=32

correct

4 0
3 years ago
The_________states that the sum measures of the interior angles of a triangle is 180​
serious [3.7K]

The Triangle sum theorem states that the sum measures of the interior angles of a triangle is 180 degree

<em><u>Solution:</u></em>

We know that,  

The Triangle Sum Theorem states that if you add all three interior angles, those are the angles inside the triangle, they would always add up to 180 degrees.

It is easy to remember that we add the three angle measurements to get 180 degrees because of the word sum in the name of the theorem. To make it short and sweet:

Consider a triangle with interior angles a, b, and c. Then we can say,

\angle a+\angle b+\angle c=180^{\circ}

The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem

7 0
3 years ago
Let h(x) = e^(kx) + f(x),
Anestetic [448]
\bf h(x)=e^{kx}+f(x)\implies \cfrac{dh}{dx}=ke^{kx}+f'(x)&#10;\\\\\\&#10;\begin{cases}&#10;x=0\\&#10;f'(0)=-8&#10;\end{cases} &#10;h'(0)=ke^{k(0)}+(-8)\implies h'(0)=k-8
3 0
3 years ago
Please help asap, no rocky!
Naddika [18.5K]
No, because it has a constant rate of change
5 0
3 years ago
Read 2 more answers
Hi, having trouble understanding this question.. as well as solving it.
kramer

-- You have two angles.

-- They're complementary . . . they add up to 90 degrees.

-- One is 4 times as big as the other one.
___________________________________________

-- The smaller angle has 1 share of the 90 degrees.

-- The bigger angle has 4 shares of the 90 degrees.

-- (The smaller one is 1/4 the size of the bigger one.
   The bigger one is 4 times the size of the smaller one.)

-- When you add them together, you get 5 shares, totaling 90 degrees.

-- What's the size of each share ?  It's 90/5 = 18 degrees.

-- The smaller angle gets one share . . . 18 degrees.

-- The bigger angle gets 4 shares.   (4 x 18) = 72 degrees.
____________________________________

Check:

-- Is the small one 1/4 the size of the big one ?    18/72 = 1/4  Yes.

-- Are they complementary ?  Do they add up to 90 degrees ?

                                                                       18 + 72  =  90  Yes.

                                                                                 yay !
6 0
3 years ago
Read 2 more answers
Other questions:
  • X is greater than or equal to 4 and less than or equal to 9
    13·1 answer
  • PLEASE, WILL GIVE BRAINLIEST!!! I need the equation and step by step. Carl collected 3 more bags of bottles for recycling than R
    11·1 answer
  • Simplify 6/12 in the simplest form​
    13·2 answers
  • Based on a poll, among adults who regret getting tattoos, 22% say that they were too young when they got their tattoos. Assume t
    15·1 answer
  • What is the equation of a circle with its center at (−6,−3) and a radius of 12?
    14·2 answers
  • Select the value that best completes the sentence
    10·1 answer
  • Please help me answer this :) and explain how you got your answer ! ( will give brainslt )
    10·2 answers
  • I need help with question can anyone help me?
    14·1 answer
  • Could you please calculate angle CDO and explaing how did you get it so that I can understand how to answer this question? :) ​
    10·1 answer
  • Find the volume of the composite figure. Round to the nearest tenth. 3cm 4cm 10cm 5 cm
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!