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Charra [1.4K]
2 years ago
10

If the equation ax+b=cx+d has no solution what must be true about a, b, c, and d?

Mathematics
1 answer:
kykrilka [37]2 years ago
5 0

9514 1404 393

Answer:

  • a = c
  • b ≠ d

Step-by-step explanation:

For there to be no solution, the lines represented by the left-side and right-side expressions must be parallel. That is, the coefficients of x must be identical,

  a = c

and the y-intercepts must be different:

  b ≠ d.

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The temperature was -2 degrees and ended the day at 18 degrees. Which equation represents the solution for the change in tempera
ella [17]

Answer:

1

Step-by-step explanation:

-2+8=16

5 0
3 years ago
Read 2 more answers
I need help please.
IgorLugansk [536]

Answer:

13 - 17\sqrt{11}

Step-by-step explanation:

Using the rule

\sqrt{a} × \sqrt{a} = a

Each term in the second factor is multiplied by each term in the first factor, that is

2\sqrt{11} (\sqrt{11} - 9 ) + 1 (\sqrt{11} - 9 )

Distribute both parenthesis

= (2 × 11) - 18\sqrt{11} + \sqrt{11} - 9

= 22 - 17\sqrt{11} - 9

= 13 - 17\sqrt{11}

7 0
3 years ago
Help anyone can help me do 16 and 17 question,I will mark brainlest.The no 16 question is find the area of the shaded region​
yanalaym [24]

Answer:

Question 16 = 22

Question 17 = 20 cm²

Step-by-step explanation:

<u>Concepts:</u>

Area of Square = s²

  • s = side

Area of Triangle = bh/2

  • b = base
  • h = height

Diagonals of the square are congruent and bisect each other, which forms a right angle with 90°

Segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

<u>Solve:</u>

Question # 16

<em>Step One: Find the total area of two squares</em>

Large square: 5 × 5 = 25

Small square: 2 × 2 = 4

25 + 4 = 29

<em>Step Two: Find the area of the blank triangle</em>

b = 5 + 2 = 7

h = 2

A = bh / 2

A = (7) (2) / 2

A = 14 / 2

A = 7

<em>Step Three: Subtract the area of the blank triangle from the total area</em>

Total area = 29

Area of Square = 7

29 - 7 = 22

-----------------------------------------------------------

Question # 17

<em>Step One: Find the length of PT</em>

Given:

  • PR = 4 cm
  • RT = 6 cm

PT = PR + RT [Segment addition postulate]

PT = (4) + (6)

PT = 10 cm

<em>Step Two: Find the length of S to PT perpendicularly</em>

According to the diagonal are perpendicular to each other and congruent. Therefore, the length of S to PT perpendicularly is half of the diagonal

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Three: Find the area of ΔPST</em>

b = PT = 10 cm

h = S to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Four: Find the length of Q to PT perpendicularly</em>

Similar to step two, Q is the endpoint of one diagonal, and by definition, diagonals are perpendicular and congruent with each other. Therefore, the length of Q to PT perpendicularly is half of the diagonal.

Length of Diagonal = 4 cm

4 ÷ 2 = 2 cm

<em>Step Five: Find the area of ΔPQT</em>

b = PT = 10 cm

h = Q to PT = 2 cm

A = bh / 2

A = (10)(2) / 2

A = 20 / 2

A = 10 cm²

<em>Step Six: Combine area of two triangles to find the total area</em>

Area of ΔPST = 10 cm²

Area of ΔPQT = 10 cm²

10 + 10 = 20 cm²

Hope this helps!! :)

Please let me know if you have any questions

6 0
2 years ago
Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a
Lady_Fox [76]

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

<u><em>Explanation</em></u>

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax =(200000*0.30)dollar=60000 dollar.

<u>Remaining amount</u> = $ 200000 - $ 60000 = $ 140000

Suppose, she invested  x dollar at 1.5% rate.

That means, she invested (140000-x) dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  


5 0
3 years ago
Delta Math:<br> Finding Angles (Level 1) 1/5<br> Full explanation please<br> will give brainlist
olga nikolaevna [1]

Answer:

m\angle FGC =101\degree

Step-by-step explanation:

m\angle CBF = 46\degree (Given)

m\angle FIG = 55\degree (Given)

m\angle IFG = m\angle CBF (Corresponding angles)

\implies m\angle IFG = 46\degree

m\angle FGC =m\angle IFG+ m\angle FIG

(By exterior angle theorem)

m\angle FGC =46\degree+ 55\degree

m\angle FGC =101\degree

4 0
2 years ago
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