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Nikolay [14]
3 years ago
14

Sarah evaluated the expression [(6x4)

Mathematics
1 answer:
USPshnik [31]3 years ago
7 0
IS IT THE EXACT EXPRESSION OR IS ANYTHING MISSING
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What is the equation of the line which includes points (0,3) and (4,5)
laila [671]

Answer:

y = \frac{1}{2} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 5)

m = \frac{5-3}{4-0} = \frac{2}{4} = \frac{1}{2}

Note the line crosses the y- axis at (0, 3) ⇒ c = 3, thus

y = \frac{1}{2} x + 3 ← equation of line

4 0
3 years ago
Can someone explain this for me??<br> 4 (c+2) &lt; 4c + 10
faust18 [17]

Answer:

The inequality would be true

Step-by-step explanation:

4(c+2) < 4c + 10

Distribute the 4 on the left

4c + 8 < 4c + 10

Subtract 4c from both sides

8 < 10

8 < 10 is true

7 0
3 years ago
(6 to the power of 3 times 3 to the power of 3) to the power of 2
frosja888 [35]

Answer:

True

Step-by-step explanation:

(6³ * 3³)² = 18⁶

Multiply inside the parenthesis.

(18³)² = 18⁶

When you put powers to powers, they multiply, eg:

(x³)⁴ = x³°⁴ = x¹²

18⁶ = 18⁶

True.

4 0
3 years ago
In triangle DEF. DF = 16 and m&lt;F = 45Find the length of a leg. Leave your answer in simplest radical form.
kotegsom [21]
I'm ASSUMING this is a 45-45-90 right triangle and that DF is the hypotenuse.
With that said. Angle F = 45 means that angle  = 45 and angle E = 90 degrees.
There is only one rule for 45-45-90 right triangles:
 hypotenuse = √(2) * leg
Given the hyp = 16
16 = √(2) * leg
divide both sides by √(2)
16/√(2) = leg
Rationalize the denominator
16√(2)/(√(2)*√(2) =
(16√(2)) / 2 =
8√2
6 0
3 years ago
X+8=17 what is the value of x makes the sentece true​
melisa1 [442]

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

x + 8 = 17

Step 2: Solve for <em>x</em>

  1. Subtract 8 on both sides: x = 9

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9 + 8 = 17

17 = 17

7 0
3 years ago
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