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1 year ago

The formula m =1/2(a+b) gives the mean M of two numbers a and b

Mathematics

2 answers:

Semenov [28]1 year ago

7 0

Answer:

a = 2m - b , a = 15

Step-by-step explanation:

(a)

m = $\frac{1}{2}$ (a + b) ← multiply both sides by 2 to clear the fraction

2m = a + b ( subtract b from both sides )

2m - b = a

(b)

when m = 19 and b = 23 , then

a = 2(19) - 23 = 38 - 23 = 15

Viefleur [7K]1 year ago

6 0

Answer:

Step-by-step explanation:

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LM=9, NR=16, SR=8. Find the perimeter of △SMP.

Amanda [17]

Answer:

<h2>perimeter of △SMP = 25</h2>

Step-by-step explanation:

The perimeter of the triangle △SMP is the sum of al the sides of the triangle.

Perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

Note that the triangle △LRN, △LSM, △MPN and △SRP are all scalene triangles showing that their sides are different.

Given LM=9, NR=16 and SR=8

NR = NP+PR

Since NP = PR

NR = NP+NP

NR =2NP

NP = NR/2 = 16/2

NP = 8

From △LSM, NP = PR = MS = 8

Also since LM = MN, MN = 9

From △SRP, SR = RP = PS = 9

Also SR = MP = 8

From the equation above, perimeter of △SMP = ||MS|| + ||MP|| + ||SP||

perimeter of △SMP = 8+8+9

perimeter of △SMP = 25

5 0

3 years ago

Four students were asked to write an expression which has terms that have a greatest common factor of 8c. The expressions provid

wel

Answer:

Wyatt wrote the correct expression

Step-by-step explanation:

Here we are to evaluate which of the students wrote an expression with the highest common factor being 8c

For Tanya; 32c + 16c; 16c( 2 + 1); This is wrong as the highest common factor is 16c

For Wyatt, we have 8c - 48cd; factorizing, we have 8c(1-6cd); This is correct

For Xavier we have 36c-24c; 8 is not a factor of 36, so it won’t work

For Yang 8c + 40; 8(c+ 5); what we are trying to look for is 8c and not 8 so this is wrong also

3 0

3 years ago

Read 2 more answers

The graph of an exponential function has a y-intercept of 7 and contains the point (4,112). Construct the exponential function T

blondinia [14]

The exponential function that describes the graph is $y=7\cdot 2^x$

The standard form of an exponential function is expressed as $y=ab^x$

a is the y-intercept

(x, y) is the point on the graph

Given the following expression

a = 7

(x, y) = (4, 112)

Substitute the given values into the exponential equation

$y = ab^x\\112=7\cdot b^4\\b^4 = \frac{112}{7}\\b^4= 16\\b =\sqrt[4]{16}\\b = 2$

Get the required exponential equation

Recall that $y=ab^x$ , hence the required equation will be $y=7\cdot 2^x$

Learn more here: brainly.com/question/19245707

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2 years ago

-7 2/3 + (-5 1/3) + 8 3/4=? A: 6 7/12 B: -4 5/12 C: -21 11/12 D: 4 2/3

balandron [24]

Its B

Hope this helps!

May I have brainliest please? :D

4 0

3 years ago

Read 2 more answers

How do you graph a linear inequality in two variables

FrozenT [24]

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Example:

Is (1, 2) a solution to the inequality
2x+3y>1
2times1+3times2>1
2+5>1
7>1

7 0

3 years ago