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3 years ago

Can someone pls help me with this?

Mathematics

1 answer:

frozen [14]3 years ago

5 0

Answer:

See below.

Step-by-step explanation:

slope of the dotted line: m = (-3 - 5)/(0 - 8) = 1

slope of second line (perpendicular to dotted line): -1

The bold line (second side) has slope -1 and passes through point (-4, 9).

y = mx + b

9 = -1(-4) + b

9 = 4 + b

b = 5

Equation of bold line: y = -x + 5

The third side of the rectangle is parallel to the dotted line and contains point (-4, 9). slope = 1

y = mx + b

9 = 1(-4) + b

9 = -4 + b

b = 13

Equation of third side: y = x + 13

The third side lies on a line that is parallel to the dotted line, so its slope is the same as the slope of the dotted line. The third side contains point (-4, 9). We use the equation y = mx + b and substitute -4 and 9 for x and y, respectively. Then we solve for b.

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3 years ago

Sam’s brother is 7 years older than Sam . His mother is 4 less than 3 times Sam’s age . Their combined age is 63 . How old is Sa

iren [92.7K]

Answer:

Sam is 12, sam's brother is 19, and sam's mom is 32.

Step-by-step explanation:

First the equation you need to use is S+7+S+3S-4=63(the variable s represents Sam), you combine the like terms which then equals 5S+3=63, then you use inverse operations. Subtract 3 on both sides, 5S=60, then you divide on both sides which equals S equals 12. Then you just plug in the number, S is Sam which means Sam's 12. Then 12+7 which is 19, Sam's brother. Then 3 times 12 minus 4 is 32. And if you check to make sure, 12+19+32 does equal 63.

6 0

3 years ago

PPPLLLZZZZZZ HELP! TnT ASAP! ( MATH ) FIRST ONE GETS BRAINLIST, A THANK YOU AND POINTS!!

spin [16.1K]

Answer:

1).

Alyssa:

About 1 book

Brandon:

About 1 book

Alyssa:

7/12 of a book

Brandon:

4/5 of a book

Step-by-step explanation:

Alyssa:

1/4=1/2

1/3=1/2

1/2+1/2=1

1/4= 3/12

1/3=4/12

3/12+4/12=7/12

Brandon:

2/5=1/2

4/10=1/2

1/2+1/2=1

2/5=4/10

4/10+4/10=8/10=4/5

Hope this helps! Please mark as brainliest!

8 0

3 years ago

If the balance of supplies at the start of the month was $900 and at the end of the month there was $450 on hand, the adjustment

Westkost [7]

A.450 If the balance of supplies at the start of the month was $900 then at the end of the month it was $450 so the answer would be 450.

Got this answer on weegy you should check it out sometimes

4 0

3 years ago

Read 2 more answers

HELP!! Algebra help!! Will give stars thank u so much <333

Anna35 [415]

Answers:

Part a) $\bf{\sqrt{x^2+(x^2-3)^2}$
Part b) 3
Part c) 2.24
Part d) 1.58

============================================================

Work Shown:

Part (a)

The origin is the point (0,0) which we'll make the first point, so let (x1,y1) = (0,0)

The other point is of the form (x,y) where y = x^2-3. So the point can be stated as (x2,y2) = (x,y). We'll replace y with x^2-3

We apply the distance formula to say...

$d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(0-x)^2+(0-y)^2}\\\\d = \sqrt{(0-x)^2+(-y)^2}\\\\d = \sqrt{x^2 + y^2}\\\\d = \sqrt{x^2 + (x^2-3)^2}\\\\$

We could expand things out and combine like terms, but that's just extra unneeded work in my opinion.

Saying $d = \sqrt{x^2 + (x^2-3)^2}$ is the same as writing d = sqrt(x^2-(x^2-3)^2)

-------------------------------------------

Part (b)

Plug in x = 0 and you should find the following

$d(x) = \sqrt{x^2 + (x^2-3)^2}\\\\d(0) = \sqrt{0^2 + (0^2-3)^2}\\\\d(0) = \sqrt{(-3)^2}\\\\d(0) = \sqrt{9}\\\\d(0) = 3\\\\$

This says that the point (x,y) = (0,3) is 3 units away from the origin (0,0).

-------------------------------------------

Part (c)

Repeat for x = 1

$d(x) = \sqrt{x^2 + (x^2-3)^2}\\\\d(1) = \sqrt{1^2 + (1^2-3)^2}\\\\d(1) = \sqrt{1 + (1-3)^2}\\\\d(1) = \sqrt{1 + (-2)^2}\\\\d(1) = \sqrt{1 + 4}\\\\d(1) = \sqrt{5}\\\\d(1) \approx 2.23606797749979\\\\d(1) \approx 2.24\\\\$

-------------------------------------------

Part (d)

Graph the d(x) function found back in part (a)

Use the minimum function on your graphing calculator to find the lowest point such that x > 0.

See the diagram below. I used GeoGebra to make the graph. Desmos probably has a similar feature (but I'm not entirely sure). If you have a TI83 or TI84, then your calculator has the minimum function feature.

The red point of this diagram is what we're after. That point is approximately (1.58, 1.66)

This means the smallest d can get is d = 1.66 and it happens when x = 1.58 approximately.

6 0

3 years ago