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viktelen [127]
3 years ago
11

PLZ HELP ASAP 20 POINTS PLZ ANSWER THIS HOUR IF AC = 26 cm, what is BC?

Mathematics
1 answer:
Vladimir [108]3 years ago
6 0

AB = BD = 10cm

Now using the Pythagorean theorem:

26^2 = 10^2 + BC^2

Simplify:

676 = 100 + BC^2

Subtract 100 from both sides:

576 = BC^2

Take the square root of both sides:

BC - sqrt(576)

BC  =  24 cm

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Carolyn was asked to solve the following system of equations. Her work is shown. What is the solution to the system of linear eq
Natalka [10]

Answer:

(11, 13)

Step-by-step explanation:

Carolyn's work is incorrect. Below is the correct solution:

Given:

3x - 2y = 7 ----› Equation 1

y = x + 2 -----› Equation 2

Substitute y = (x + 2) in equation 1

3x - 2y = 7 ----› Equation 1

3x - 2(x + 2) = 7 (substitution)

3x - 2(x) -2(+2) = 7 (distributive property)

[Note: this is where Carolyn made a mistake]

3x - 2x - 4 = 7

Collect like terms

x - 4 = 7

x = 7 + 4 (addition property of equality).

x = 11

Substitute x = 11 in equation 2

y = x + 2 -----› Equation 2

y = 11 + 2 (substitution)

y = 13

✅The solution to the system of equations would be:

(11, 13)

8 0
3 years ago
A force of 4 pound acts in the direction of 48degree to the horizontal. The force moves an object along a straight line from the
Dafna11 [192]

Answer:

<u>Work Done = 27.66 Joules</u>

Step-by-step explanation:

The work done is:

W=F*d*Cos \theta

Where

F is the fore

d is the distance moved

\theta  is the angle

The force is "4"

The distance is the distance from (1,7) to (8,10)

The distance is the square root of change in y coordinates, squared and sum of change in x coordinates, squared. Hence, distance is:

\sqrt{(10-7)^2+(8-1)^2}\\=\sqrt{3^2+7^2}\\\sqrt{58}

The angle is gotten by the formula:

Cos\phi = \frac{Force in x direction}{Distance}\\Cos\phi = \frac{8-1}{\sqrt{58}}\\Cos\phi=\frac{7}{\sqrt{58}}\\\phi = Cos^{-1}\frac{7}{\sqrt{58}}\\\phi = 23.21

So, now:

\theta = 48 - 23.21 = 24.79

Work Done = F*d * Cos\theta = 4 * \sqrt{58} * Cos(24.79)

<u>Work Done = 27.66 Joules</u>

6 0
3 years ago
If Clare earns $75 the next week from delivering newspapers and deposits it in her account, what will her account balance be the
4vir4ik [10]
Answer is x+75

Basically $75
3 0
3 years ago
Evaluate the expression.<br> 3–6–(2+6)2
Gekata [30.6K]

Answer:-19

Step-by-step explanation:

7 0
3 years ago
How many solutions does the equation 9x-3(x+8)=6x-24
Marina86 [1]
Simplifying
9x + -3(x + 8) = 6x + -24

Reorder the terms:
9x + -3(8 + x) = 6x + -24
9x + (8 * -3 + x * -3) = 6x + -24
9x + (-24 + -3x) = 6x + -24

Reorder the terms:
-24 + 9x + -3x = 6x + -24

Combine like terms: 9x + -3x = 6x
-24 + 6x = 6x + -24

Reorder the terms:
-24 + 6x = -24 + 6x

Add '24' to each side of the equation.
-24 + 24 + 6x = -24 + 24 + 6x

Combine like terms: -24 + 24 = 0
0 + 6x = -24 + 24 + 6x
6x = -24 + 24 + 6x

Combine like terms: -24 + 24 = 0
6x = 0 + 6x
6x = 6x

Add '-6x' to each side of the equation.
6x + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
0 = 6x + -6x

Combine like terms: 6x + -6x = 0
0 = 0

Solving
0 = 0
7 0
3 years ago
Read 2 more answers
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