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ratelena [41]
3 years ago
15

Write an equation in slope-intercept form for the line that satisfies the following condition.

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0

Answer:

y = - x + 69

Step-by-step explanation:

Given the following :

Point on graph : (29, 8)

Equation of line ; y= 5x +17.

From the equation slope of line = 5

Intercept = 17

Slope of perpendicular line = - 1/5 ( negative reciprocal)

Using the equation :

y - y1 = m(x - x1)

From the Point given:

x1 = 29, y1 = 8

y - 8 = (- 1/5)(x - 29)

y - 8 = -1/5x + 29/5

y = -1/5x + 29/5 + 8

Multiply through by 5

y = - x + 29 +40

y = - x + 69

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Which of the following shows the true solution to the logarithmic equation 3 log Subscript 2 Baseline (2 x) = 3 x = negative 1 x
sineoko [7]

The equation which shows the true solution to the given logarithmic equation is,

x=1

<h3>What is power rule of logarithmic function?</h3>

The power of the log rule says that the number written in the front of the logarithmic function can be raised to the power of the logarithmic function.

For example,

n\log_b(M)=\log_b(M)^n

Given information-

The logarithmic equation given in the problem is,

3\log_2(2x)=3

Using the power rule of the logarithmic function,

\log_2(2x)^3=3

Using the exponent rule of the logarithmic function the above equation can be written as,

(2x)^3=3

Solve it further,

8x^3=3\\x^3=1\\x=1

Hence, the equation which shows the true solution to the given logarithmic equation is,

x=1

Learn more about the rules of logarithmic function here;

brainly.com/question/13473114

4 0
2 years ago
Find the total surface area of a cuboid 7.5cm 2.3cm 5cm
zavuch27 [327]

Answer:

17.25

Step-by-step explanation:

im not sure with the answer without a photo.formula to find area is LENGTH×WIDTH so there u can find it

6 0
3 years ago
Read 2 more answers
A fair cube has 2 blue sides, 2 red sides, and 2 green sides.
natulia [17]
4/6 or 2/3. All you need to do is add the amount of blue and red sides from the cube and divide it by the total number of sides on a cube.

You can also say 66%

Hope this helps!! :)
3 0
3 years ago
A new mixture of​ self-tanning &amp; moisturizing lotions for everyday use is being developed. This mixture is made by mixing 70
777dan777 [17]

Answer:

450 ounces

Step-by-step explanation:

We know that the cost of the mixture C_m must be the cost of the everyday moisturizing lotion C_e plus the cost of the self-tanning lotion C_s, which means C_m=C_e+C_s.

The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:

n_m c_m=n_e c_e + n_s c_s

But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have

n_e c_e + n_s c_s=n_m c_m=(n_e+n_s) c_m=n_e c_m+n_s c_m

We want to calculate the number of ounces of the​ self-tanning lotion (n_s), so we solve for that variable:

n_e c_e + n_s c_s=n_e c_m+n_s c_m

n_s c_s-n_s c_m=n_e c_m-n_e c_e

n_s (c_s-c_m)=n_e(c_m-c_e)

n_s=\frac{n_e (c_m-c_e)}{(c_s-c_m)}

And substitute our values in this formula, to get:

n_s=\frac{(700\ ounces) (\$1.6-\$0.7)}{(\$3-\$1.6)}=450\ ounces

7 0
3 years ago
AC = 9x - 12, CD = 4x + 18, AD = ?​
GrogVix [38]

If we assume that point C is somewhere on segment AD, then,

AD = AC + CD

AD = (9x-12) + (4x+18)

AD = (9x+4x) + (-12+18)

AD = 13x+6    is the answer

3 0
3 years ago
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