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3 years ago

Write equations for the following statements.

Mathematics

1 answer:

padilas [110]3 years ago

4 0

A. 16+3x=1
b. 11-x/2=2

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No need for explanation

Free_Kalibri [48]

Answer:

Step-by-step explanation:

I'll assume they're vertical angles

5x - 13 = 2x + 14

3x = 27

x = 9

<ABC:

5x - 13

5(9) - 13

8 0

3 years ago

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Simplify the expression -2d + -2d - 9 + -9

makvit [3.9K]

Answer:

-4d-18

Step-by-step explanation:

Combine like terms:

-2d and -2d can combine since they have the same variable of d creating the term of -4d and -9 and -9 can combine to create -18. Put those together and you get the answer above.

3 0

3 years ago

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Choose the equation below that represents the line passing through the point (−3, −1) with a slope of 4.

zmey [24]

B is the correct answer

3 0

3 years ago

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The 11th term of an progression is 25 and the sum of the first 4 terms is 49. The nth term of the progression is 49

KIM [24]

Answer:

For 1: The first term is 10 and the common difference is $\frac{3}{2}$

For 2: The value of n is 27

Step-by-step explanation:

The n-th term of the progression is given as:

$a_n=a_1+(n-1)d$

where,

$a_1$ is the first term, n is the number of terms and d is the common difference

The sum of n-th terms of the progression is given as:

$S_n=\frac{n}{2}[2a_1+(n-1)d]$

where,

$S_n$ is the sum of nth terms

For (1):

The 11th term of the progression:

$25=a_1+10d$ .......(1)

Sum of first 4 numbers:

$49=\frac{4}{2}[2a_1+3d$ ......(2)

Forming equations:

$98=8a_1+12d$

$25=a_1+10d$ ( × 8)

The equations become:

$98=8a_1+12d$

$200=8a_1+80d$

Solving above equations, we get:

$102=68d\\\\d=\frac{102}{68}=\frac{3}{2}$

Putting value in equation (1):

$25=a_1+10\frac{3}{2}\\\\a_1=[25-15]=10$

Hence, the first term is 10 and the common difference is $\frac{3}{2}$

For 2:

The nth term is given as:

$49=10+(n-1)\frac{3}{2}$

Solving the above equation:

$39=(n-1)\frac{3}{2}\\\\n-1=26\\\\n=27$

Hence, the value of n is 27

3 0

3 years ago

Find the slope of a ski run that descends 15 feet for every horizontal change of 24 feet. *Make sure to look at the sign of the

Nimfa-mama [501]

The slope goes downwards and that means its a negative slope.
slope means rises over run. and with the facts that we know, it gives us m=-15/24

8 0

4 years ago

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