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3 years ago

Solve the equation for k. 4k - 2z = 8

Mathematics

2 answers:

lozanna [386]3 years ago

8 0

4k-2z=8

Move -2z to the other side. Sign changes from -2z to + 2z

4k-2z+2z= 8+2z

4k= 8+2z

Divide by 4 for 4k and 8+2z

4k/4= 8/4+ 2z/4

k= 2 +1/2z

Answer: k= 2 +1/2z

antoniya [11.8K]3 years ago

6 0

Answer:

k = 2 + (1/2)z

Step-by-step explanation:

1) Isolate 4k by adding 2z to both sides: 4k = 8 + 2z

2) Divide all three terms by 4: k = 2 + (1/2)z

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The figures below are similar.

Dafna1 [17]

Answer:

a) 2.5

b) 6.25

Step-by-step explanation:

For similar figures, the ratio of any corresponding linear dimensions is the same. The ratio of areas is the square of that.

<h3>Application</h3>

The ratio of linear dimensions, larger to smaller, is ...

(30 yd)/(12 yd) = 2.5

<h3>a) Perimeter</h3>

Perimeter is a linear dimension, the sum of side lengths. The ratio of perimeters is 2.5.

The ratio of areas, larger to smaller, is the square of the scale factor for side lengths:

(2.5)² = 6.25

The ratio of the areas of the larger to smaller figure is 6.25.

7 0

2 years ago

Three numbers are in the ratio 6:3:1, and the sum of these numbers is 420. If the first number is reduced by 50%, and the second

Naily [24]

$x:y:z\ \ \ \Leftrightarrow\ \ \ 6:3:1\\ \\ \frac{x}{z} =\frac{6}{1}\ \ \ \Rightarrow\ \ \ x=6z\ \ \ \ \ \ \ and\ \ \ \ \ \ \ \frac{y}{z} =\frac{3}{1}\ \ \ \Rightarrow\ \ \ y=3z\\ \\x+y+z=420\ \ \ \Rightarrow\ \ \ 6z+3z+z=420\ \ \ \ \Rightarrow\ \ \ \ 10z=420\ /:10\\ \\z=42\ \ \ \Rightarrow\ \ \ \ x=6\cdot42=252\ \ \ \ and\ \ \ \ y=3\cdot42=126\\ \\ \\a=x-50\%x=50\%x= \frac{1}{2} \cdot252=126=3\cdot42\\ \\b=y+42=126+42=168=4\cdot42\\ \\c=420-126-168=126=3\cdot42\\ \\a:b:c\ \ \ \Leftrightarrow\ \ \ 3:4:3$

7 0

2 years ago

Identify the constant of proportionality in the equation. 5y = 35x A) 1 B) 5 C) 7 D) 35

Sidana [21]

Answer:

It's 7

Step-by-step explanation:

5y=35 the easiest way is 35/5=7 7x5=35

4 0

3 years ago

Read 2 more answers

Graph this function y-2=-(x+5)

I am Lyosha [343]

Going to put your function in slope-intercept form for the sake of easier input into Desmos.

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