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NARA [144]
3 years ago
14

X/9 = 4/15 solve the following proportions

Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer:

x = 2.4

Step-by-step explanation:

x*15 = 9 * 4

15x = 9 * 4

15x = 36

x = 2.4

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Rewrite x - 3y = 6 in slope-intercept form.
Rudik [331]

Answer:

use formula y=mx+c

x - 3y = 6 \\ x - 6 = 3y \\ x -  \frac{6}{3} = y \\ x  - 2 = y \\ y = x - 2

so the answer is B

5 0
2 years ago
Read 2 more answers
The reasures of two angles have a sum of 180°. The measures of the angles are in a ratio of 5:1. Determine the measures of both
Mademuasel [1]

Answer:

150° : 30°

Step-by-step explanation:

total ratio

5 + 1 = 6

ratio 1

180 ÷ 6 = 30

ratio 5

30 × 5 = 150

3 0
2 years ago
Solve 9^x + 4 = 11 for x using the change of base formula log base b of y equals log y over log b.
Sauron [17]

Answer:

If you meant 9^x+4=11, then the answer is approximately 0.866.

If you meant 9^{x+4}=11, then the answer is approximately -2.909 which looks like what you meant based on the choices.

Step-by-step explanation:

9^x+4=11

First step is to get the exponential part by itself. The part that has the variable exponent which is the 9^x term.

To do this we need to subtract 4 on both sides:

9^x=11-4

Simplify:

9^x=7

The equivalent logarithmic form is:

\log_9(7)=x

I always say to myself the logarithm is the exponent that is how I know what to put opposite the side containing the log.

Anyways if you don't have options for computing \log_b(a) in your calculator you need to use the change of base formula.

\frac{\log(7)}{\log(9)}=x

So x \approx 0.8856

I don't see this as a choice so maybe you actually meant the following equation:

9^{x+4}=11

Let's see if this is the correct interpretation.

So the exponential part is already isolated.

So we just need to put in the equivalent logarithmic form:

\log_9(11)=x+4

Now we subtract 4 on both sides:

\log_9(11)-4=x

Again if you don't have the option for computing \log_b(a) in your calculator, you will have to use the change of base formula:

\frac{\log(11)}{\log(9)}-4=x

x \approx -2.909

6 0
3 years ago
How would you know if these 2 triangles are similar or not
zubka84 [21]

Answer: well they are both 47 degrees

Step-by-step explanation:

5 0
3 years ago
1/3+1/3x+8/3=-1/3(6x+11)
ivann1987 [24]

Answer:

x=-20/7 or -2.857

Step-by-step explanation:

bring like terms together in each side of the = side

then work the out

3 0
3 years ago
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