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3 years ago

Is Frieda’s work correct? Explain how she can check her solution.

Mathematics

2 answers:

lyudmila [28]3 years ago

7 0

Answer:

Frieda's work is correct.

Step-by-step explanation:

z+22= 64 can also be z= 64-22

64-22= 42

Meaning, z= 42

42+22-22= 64-22

42= 42

Mandarinka [93]3 years ago

3 0

Answer:

by substitution

Step-by-step explanation:

To check if the solution to an equation is valid

Substitute the solution into the equation and if both sides agree then the solution is correct.

left side = z + 22 = 42 + 22 = 64 = right side

Hence z = 42 is the correct solution

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3 years ago

Through which two points could a line of rotation be placed so that the base of the resulting cylinder will have a radius of 5 c

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3 years ago

Read 2 more answers

Find P on AB that is 2/3 of the distance from A(-3,-5) to B(9,4).

Ludmilka [50]

A line segment can be divided into ratios.

The coordinate of P on line segment AB is (5,1)

Given

$A = (-3,-5)$

$B = (9,4)$

The position of P from A to B is:

$P_A = \frac 23$

So, from P to B would be:

$P_B =1 - \frac 23$

$P_B = \frac 13$

So, the ratio is:

$m : n = \frac 23 : \frac 13$

Simplify

$m : n = 2 :1$

The coordinate of point P is:

$P = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

So, we have:

$P = (\frac{2 \times 9 + 1 \times -3}{2 + 1},\frac{2 \times 4 + 1 \times -5}{2 + 1})$

$P = (\frac{15}{3},\frac{3}{3})$

$P = (5,1)$

Hence, the coordinate of P is (5,1)

Read more about line ratios at:

brainly.com/question/8847082

8 0

3 years ago

Liana can see that the measure of Angle L and Angle M form a straight line. Since Liana knows that a straight line has an angle

cricket20 [7]

Answer:

150 degrees

Step-by-step explanation:

Let's start off by looking at what we are working with in this specific problem:

We can see that we are looking at 2 angles, angle L and angle M, that add up to a total of 180 degrees (aka a straight line)

Now that we know that, we also have to keep is mind that angle L + angle M = 180 degrees.

Now that we've got all of that out of the way, let's set up a simple algebraic equation:

angle L + angle M = 180

We also know that angle L is 30 degrees so let's add it into the equation we have just created:

30 + angle M = 180

We now know that 30 plus angle M (whatever it might be) is equal to 180 so in order to solve this problem we have to do some simple subtraction.

180 - 30 = angle M

Now we are left with:

150 degrees = angle M

4 0

3 years ago