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3 years ago

Which represents the solution to the absolute value equation? 5|2x-4|+1=11

Mathematics

1 answer:

lora16 [44]3 years ago

4 0

simplify- 10x+20+1=11

simplify- 10x+21=11

x=-1

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5 Which equation describes a line of symmetry for the figure shown? -4 3 O y = x 2 O x = 0 2 B O y = -2 4 4 6 O y = 0 -2 -3 7 ch

BaLLatris [955]

Answer:

y = 0

Step-by-step explanation:

The line y = 0 is cutting your triangle in half with perfect symmetry.

3 0

3 years ago

Dennis and Connie purchased a radio for $128. Dennis paid $36 more than Connie. How much did each pay?

never [62]

Answer:

Dennis paid $82 and Connie paid $46.

Step-by-step explanation:

We can set up an equation by putting in variables, c representing how much Connie paid. Since we know that Dennis paid $36 more, we will also factor that in the equation.

c + c + 36 = 128

Where c + 36 represents the amount Dennis paid, and 128 represents the total amount paid as given in the question. We can start by adding like terms. 2c + 36 = 128

Now, we can subtract 36 from each side,

2c + 36 - 36 = 128 - 36

2c = 92

Divide each side by two,

2c/2 = 92/2

c = 46

Now, to make sure this is correct, let's substitute our c for 46 in our equation:

46 + 46 + 36 = 128

92 + 36 = 128

128 = 128

Therefore, our equation is correct, and Dennis paid $82 while Connie paid $46.

6 0

3 years ago

Help me please fast

Natalija [7]

Answer:

Step-by-step explanation:

$\frac{5}{x-3}+\frac{2}{x+1}=3 \\\\\frac{5(x+1)+2(x-3)}{(x-3)(x+1)} =3\\\\5x+5+2x-6=3(x-3)(x+1)\\\\7x-1=3(x^2+x-3x-3)\\\\7x-1=3(x^2-2x-3)\\\\7x-1=3x^2-6x-9\\\\0=3x^2-6x-7x-9+1\\0=3x^2-13x-8$

Hence proved!

3 0

3 years ago

What is the length of the segment with end points -3,4 and 5,4

Luda [366]

Answer:

Step-by-step explanation:

The distance or the length between two points can be computed using the formula:

$d = \sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}$

X₁ = x-coordinate of first point

X₂ = x-coordinate of the second point

Y₁ = y-coordinate of first point

Y₂ = y-coordinate of the second point

When we right down the coordinates of a point, we always start with the X and then the Y.

(X,Y)

You have the following coordinates or points

Point 1: (-3,4)

Point 2: (5,4)

Based on that we have the following given:

X₁ = -3

X₂ = 5

Y₁ = 4

Y₂ = 4

Now we just fill in the formula:

$d=\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}\\\\ =\sqrt{(5-(-3))^2+(4-4)^2}\\\\ =\sqrt{8^2 + 0^2}\\\\ =\sqrt{8^2} \\\\=8$

7 0

3 years ago

If you travel 12 miles west and 16 miles south, how far are you from your starting point

Digiron [165]

Answer: 5.83 miles

Step-by-step explanation:

7 0

3 years ago