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hodyreva [135]
3 years ago
9

CAN SOMEONE PLEASE HELP ME

Mathematics
1 answer:
Degger [83]3 years ago
5 0

Answer:

38 degrees

Step-by-step explanation:

this is an isosceles triangle, meaning that the base angles are congruent.

the total triangle is equal to 180

so the equation would be: x=180 - (71+71)

evaluate:

x=180-142

x=38 degrees

Hope this helps :)

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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
2 years ago
Lydia and Claudia have the same number of charms in their collections. Lydia started with 6 charms and bought 3 more packs. Clau
serious [3.7K]

Answer:

E. 3x + 6 = 2x + 9

Step-by-step explanation:

The total number of charms that Lydia has in term of x

6 + 3x

The total number of charms that Claudia has in term of x

9 + 2x

Since they have the same number of charms, we can set these 2 equations above equals to each other

6 + 3x = 9 + 2x

x = 9-6 = 3

So E is the correct answer

7 0
3 years ago
How do you write 55 another way
CaHeK987 [17]
It can also be written as fifty-five.
7 0
3 years ago
Would an experience downhill skier want the slope of the hill to be 1/10 or 9/10?  Why?<br><br>​
kolezko [41]

Answer:

9/10

Step-by-step explanation:

step 1

Compare the slopes

1/10=0.10

9/10=0.9

0.9 > 0.10

therefore

An experienced skier would like the 9/10 hill slope because it is steeper, while the 1/10 is a softer slope.

8 0
3 years ago
Find the value C(-2), where C is defined below.<br> C(x) = -3x2 – 3x - 3
Harman [31]

Answer:

C(-2) = -9

Step-by-step explanation:

Step 1: Define

C(x) = -3x² - 3x - 3

C(-2) = x = -2

Step 2: Substitute and Evaluate

C(-2) = -3(-2)² - 3(-2) - 3

C(-2) = -3(4) + 6 - 3

C(-2) = -12 + 6 - 3

C(-2) = -6 - 3

C(-2) = -9

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3 years ago
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