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3 years ago

What value of c makes the equation true? (PLEASE HELP, and look at the picture)

Mathematics

2 answers:

Cloud [144]3 years ago

8 0

Answer:

$\displaystyle c = 8$

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \frac{3}{6} = \frac{4}{c}$

Step 2: Solve for c

Simplify [Reduce]: $\displaystyle \frac{1}{2} = \frac{4}{c}$
[Multiplication Property of Equality] Cross-multiply: $\displaystyle c = 8$

KiRa [710]3 years ago

3 0

Answer:

c = 8

Step-by-step explanation:

$\small \sf \frac{3}{6} = \frac{4}{c } \\$

Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 6c, the least common multiple of 6,c.

c × 3 = 6 × 4

multiply 6 and 4 to get 24

3c = 24

divide both side by 3

$\small \sf \frac{3c }{3} = \frac{ 24} {3} \\$

$\small \sf \frac{ \cancel{3}c }{ \cancel{3}} = \frac{ \cancel{24}} {\cancel{3}} \\$

Divide 24 by 3 to get 8.

c = 8

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Elan Coil [88]

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4 0

2 years ago

Read 2 more answers

Someone help 50 points + brainlist+ like +thank you line segment measurement

Vika [28.1K]

$\\ \bull\leadsto CD=DE$

$\\ \bull\leadsto 3x-6=2(x+1)$

$\\ \bull\leadsto 3x-6=2x+2$

$\\ \bull\leadsto 3x-2x=2+6$

$\\ \bull\leadsto x=8$

Now

CD=3(8)-6=24-6=18

5 0

2 years ago

Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sis

alexdok [17]

Answer:

7 years

Step-by-step explanation:

Given that:

Let Richard's age = x

Elder sister's age = 2x

Youngwr sister's age = x - 2

Product of sisters ages = 70

2x * (x - 2) = 70

2x² - 4x = 70

2x² - 4x - 70 = 0

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

x(x - 7) +5(x - 7) = 0

(x - 7) or (x + 5) = 0

x = 7 or x = - 5

X can't be negative

Hence, x = 7

Richard is 7 years

3 0

2 years ago

11y^2-19y-10=-4y^2 all real solutions

tangare [24]

Answer:

y=5/3 is the only real solution

Step-by-step explanation:

Solve for y over the real numbers:

11 y^2 - 19 y - 10 = -4 y^2

Add 4 y^2 to both sides:

15 y^2 - 19 y - 10 = 0

The left hand side factors into a product with two terms:

(3 y - 5) (5 y + 2) = 0

Split into two equations:

3 y - 5 = 0 or 5 y + 2 = 0

Add 5 to both sides:

3 y = 5 or 5 y + 2 = 0

Divide both sides by 3:

y = 5/3 or 5 y + 2 = 0

Subtract 2 from both sides:

y = 5/3 or 5 y = -2

Divide both sides by 5:

Answer: |

| y = 5/3 or y = -2/5

4 0

3 years ago

What is the exact distance from (–1, 4) to (6, –2)? (4 points) units units units units

irina1246 [14]

Answer:

$\sqrt{85}$

Step-by-step explanation:

Calculate the distance d using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)

d = $\sqrt{(6+1)^2+(-2-4)^2}$

= $\sqrt{7^2+(-6)^2}$

= $\sqrt{49+36}$

= $\sqrt{85}$ ← exact distance

4 0

3 years ago