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
BartSMP [9]
2 years ago
14

If a=7 and b+c=67, find a²+ab+ac

Mathematics
2 answers:
almond37 [142]2 years ago
7 0

Answer:

thank \: you

Step-by-step explanation:

a = 7 \\ b + c = 67 \\we \: want \: to \: find \:   {a}^{2}  + ab + ac \\  {a}^{2}  + a(b + c) \\  =  {7}^{2}  + 7(67) \\  = 49 + 469 \\  = 518 \\ thank \: you

Stels [109]2 years ago
6 0

Hope this will help..........

You might be interested in
Given the function defined below, what is the value of the 4th term?
MakcuM [25]

Answer:

The 4 t h term is   f(4)   = 143

Step-by-step explanation:

<em>Explanation</em>:-

Given  function f(1) = -4

Given 'nth' term is  f(n) = -3f(n-1) +5

Put n =2         <em> f(2) = -3 f(2-1) +5</em>

                             = -3 f(1) +5

                             = -3 (-4) +5

                             = 12 +5

                       f(2) = 17

put n= 3      

                         f(n) = -3f(n-1) +5  

                      <em>   f(3) = -3 f(3-1) +5</em>

                            = -3f(2) +5

                           = -3(17) +5

                           = -51+5

                      f(3) = -46

Put n=4

                  f(n) = -3f(n-1) +5

               <em>  f(4)  = -3f(4-1) +5</em>

<em>                  f(4)  = -3f(3)+5</em>

                f(4)   = -3(-46)+5

                f(4)   = 138 +5

                f(4)   = 143

<u><em>Final answer</em></u>:-

<em>The 4 t h term is   f(4)   = 143</em>

         

6 0
3 years ago
What is -2(g+5) please help :)
Nastasia [14]

Answer:

-2g -10

Step-by-step explanation:

On simplifing this expression we get,

-2(g+5)

=> -2g + (-10)

=> -2g - 10

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

6 0
2 years ago
Read 2 more answers
Maggie says that if the expression was 12÷3to the second power, you would divide before simplifying 3 to the second power. Is sh
mezya [45]

Answer:

Maggie is incorrect.

Step-by-step explanation:

PEMDAS tells us the order of operations and the steps of solving a mathematical statement. It states that exponents must be performed before multiplication or division.

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Therefore, to solve 12÷3² correctly, 3² needs to be simplified to 9 <em>before</em> dividing.

I hope this helps!

4 0
3 years ago
A grocery store clerk has 16 oranges, 20 apples, and 24 pears. The clerk needs to put an equal number of apples, oranges, and pe
GalinKa [24]

Answer:

4 oranges, 5 apples, 6 pears in each bag

Step-by-step explanation:

theyre all divisible by 4

7 0
3 years ago
Read 2 more answers
Select all the conditions for which it is possible to construct a triangle. (7.G.1.2) Group of answer choices a. A triangle with
saw5 [17]

Answer:

  b, d, e, f

Step-by-step explanation:

Here are the applicable restrictions:

  • The sum of angles in a triangle is 180°, no more, no less.
  • The sum of the lengths of the two shortest sides exceeds the longest side.
  • When two sides and the angle opposite the shortest is given, the sine of the given angle must be at most the ratio of the shortest to longest sides.

a. A triangle with angle measures 60°, 80°, and 80° (angle sum ≠ 180°, not OK)

b. A triangle with side lengths 4 cm, 5 cm, and 6 cm (4+5 > 6, OK)

c. A triangle with side lengths 4 cm, 5 cm, and 15 cm (4+5 < 15, not OK)

d. A triangle with side lengths 4 cm, 5 cm, and a 50° angle across from the 4 cm side (sin(50°) ≈ 0.766 < 4/5, OK)

e. A triangle with angle measures 30° and 60°, and an included 3 cm side length (OK)

f. A triangle with angle measures 60°, 20°, and 100° (angle sum = 180°, OK)

_____

<em>Additional comment</em>

In choice "e", two angles and the side between them are specified. As long as the sum of the two angles is less than 180°, a triangle can be formed. The length of the side is immaterial with respect to whether a triangle can be made.

__

The congruence postulates for triangles are ...

  SSS, SAS, ASA, AAS, and HL

These essentially tell you the side and angle specifications necessary to define <em>a singular triangle</em>. As we discussed above, the triangle inequality puts limits on the side lengths specified in SSS. The angle sum theorem puts limits on the angles when only two are specified (ASA, AAS).

In terms of sides and angles, the HL postulate is equivalent to an SSA theorem, where the angle is 90°. In that case, the angle is opposite the longest side (H). In general, SSA will specify a singular triangle when the angle is opposite the <em>longest</em> specified side, regardless of that angle's measure. However, when the angle is opposite the <em>shortest</em> specified side, the above-described ratio restriction holds. If the sine of the angle is <em>less than</em> the ratio of sides, then <em>two possible triangles are specified</em>.

4 0
2 years ago
Other questions:
  • Graph the exponential model y = 3(6)x .Which point lies on the graph?
    11·1 answer
  • GEOMETRY HELP ASAP I'M FAILING. I did the first half now i cant figure this out!!?
    8·1 answer
  • What is a LCM.
    8·1 answer
  • A polygon has the following coordinates: A(-4,4), B(-1,1), C(-6,1). Find the length of BC.
    15·1 answer
  • 12:35 on Sunday.
    15·1 answer
  • Danae is shopping for grass seed. The prices of bags from four brands are shown in the table.
    9·2 answers
  • Q: Marci wants to prove that the diagonals of
    8·1 answer
  • Please help me I just need the ticket price.
    10·1 answer
  • MARKING AS BRAINLIEST PLUS MANY POINTS
    7·2 answers
  • Choose the model for the problem 3/4 divided by 5.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!