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3 years ago

A=(a+b)h Work out the value of h when A = 38.64, a = 5.5 and b = 3.7.

Mathematics

1 answer:

timofeeve [1]3 years ago

8 0

Answer:

h = 8.4

Step-by-step explanation:

38.64 = $\frac{(5.5+3.7)h}{2}$

38.64(2) = 9.2h

77.28 = 9.2h

h = 77.28/9.2

h = 8.4

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Line m in xy plane contains the points (2,4) and (0,1) which of the following is the equation of M

HACTEHA [7]

Answer:

The equation of line M in slope intercept form is $y=\frac{3}{2}x+1$

The equation of line M in standard form is $3x-2y=-2$

Step-by-step explanation:

step 1

Find the slope of line M

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(2,4) and (0,1)

substitute

$m=\frac{1-4}{0-2}$

$m=\frac{-3}{-2}$

$m=\frac{3}{2}$

step 2

Find the equation of the line M in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{3}{2}$

$point\ (0,1)$

substitute

$y-1=\frac{3}{2}(x-0)$

$y-1=\frac{3}{2}x$ ----> equation in point slope form

step 3

Find the equation of line M in slope intercept form

$y=mx+b$

Isolate the variable y in the equation of the line in point slope form

$y-1=\frac{3}{2}x$

Adds 1 both sides

$y=\frac{3}{2}x+1$

step 4

Find the equation of the line M in standard form

$Ax+By=C$

where

A is a positive integer

B and C are integers

we have

$y=\frac{3}{2}x+1$

Multiply by 2 both sides

$2y=3x+2$

$3x-2y=-2$ ---> equation in standard form

7 0

3 years ago

Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

hammer [34]

Answer: option d.

Step-by-step explanation:

If y varies directly as x and z, the form of the equation is:

$y=kxz$

Where k is the constant of variation.

If y=4 when x=6 and z=1 then substitute these values into the expression and solve for k:

$4=k(6)(1)\\4=6k\\k=\frac{4}{6}\\\\k=\frac{2}{3}$

Substitute the value of k into the expression. Then, the equation is:

$y=\frac{2}{3}xz$

To find the value of y when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:

$y=k=\frac{2}{3}(7)(4)$

$y(7,4)=\frac{56}{3}$

5 0

3 years ago

Read 2 more answers

Solve for x and then find the measure of

bonufazy [111]

The answer should be 150

7 0

3 years ago

Read 2 more answers

A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma

RSB [31]

Answer:

Step-by-step explanation:

NOTE: The "larger number" will be referred to as y, and the "smaller number" will be referred to as x.

"A number, y, is equal to twice the sum of a smaller number and 3."

This tells us that we must add our smaller number (x) to 3 within parantheses and then multiply the entire term (x+3) by 2.

$y=2(x+3)$

"The larger number is also equal to 5 more than 3 times the smaller number."

This tells us that we must multiply 3 against our smaller number (x) and add 5 to it.

$y=3x+5$

Now, to find your answer, we can put the equations in the same form as the answer choices so as to find an equivalent equation. Lets start with the first equation.

This form calls for us to have our x term first, then our y term, then our constant.

$y=2(x+3)\\y=2x+6\\-2x+y=6$

Now that we've gotten the equation in that form, we can see that our answer choices hold that our leading co-efficient must be positive, which we can adjust for by dividing both sides by -1.

$-2x+y=6\\2x-y=-6$

This makes the only possible answer choices (A) and (C).

Now, lets do our second equation. The recipe calls for the same form, again with a positive leading coefficient.

$y=3x+5\\-3x+y=5\\3x-y=-5$

This is only represented by choices (A) and (B).

Therefore, answer choice (A) is the only one which represents both equations.

7 0

3 years ago

Is 3(2)^x equivalent to 1.5(2^x)(2^1)

Volgvan

Answer:

Yes

Step-by-step explanation:

1.5(2^x)(2^1)

1.5x2^x x2

3x2^x

6 0

4 years ago