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2 years ago

Using the given diagram, solve for x. Plz also list your steps!!

Mathematics

1 answer:

harkovskaia [24]2 years ago

5 0

If a triangle equals 180, than what you want to do is add all of the numbers together. 33+21+28= 82.

After that what you want to do is subtract that by the total of the triangle "180"

180-82=98.

I believe 98 is the answer

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Найдите корни уранения |t|:6=4

stiv31 [10]

I think the answer will be t=2/3 or t= -2/3

3 0

2 years ago

Eight values have a mean of 7. a ninth value is added. the new mean is 9. what is the new value

My name is Ann [436]

Answer:

25 because the 8 values must times with 7 and will get 56. when the ninth value added , let the ninth value as y , 56+y , the new mean is 9 . so it will be like this , 56+y over 9 times with 9

4 0

2 years ago

Find the x-intercepts of the parabola with vertex (1,1) and y-intercept (0,-3). Write your answer in this form (x of 1 , y of 1)

Vikki [24]

Remember that the vertex form of a parabola or quadratic equation is:

y=a(x-h)^2+k, where (h,k) is the "vertex" which is the maximum or minimum point of the parabola (and a is half the acceleration of the of the function, but that is maybe too much :P)

In this case we are given that the vertex is (1,1) so we have:

y=a(x-1)^2+1, and then we are told that there is a point (0,-3) so we can say:

-3=a(0-1)^2+1

-3=a+1

-4=a so our complete equation in vertex form is:

y=-4(x-1)^2+1

Now you wish to know where the x-intercepts are. x-intercepts are when the graph touches the x-axis, ie, when y=0 so

0=-4(x-1)^2+1 add 4(x-1)^2 to both sides

4(x-1)^2=1 divide both sides by 4

(x-1)^2=1/4 take the square root of both sides

x-1=±√(1/4) which is equal to

x-1=±1/2 add 1 to both sides

x=1±1/2

So x=0.5 and 1.5, thus the x-intercept points are:

(0.5, 0) and (1.5, 0) or if you like fractions:

(1/2, 0) and (3/2, 0) :P

4 0

2 years ago

Dr. Thomas just started an experiment. She will collect data for 6 days. How many hours is this?

Ber [7]

6 days* 24 hours per day= 144 hours

Final answer: 144 hours

4 0

2 years ago

Read 2 more answers

Is the system of equations consistent and independent, consistent and dependent, or inconsistent?

ollegr [7]

Answer: Consistent and independent.

Step-by-step explanation:

We have the system of equations:

y = 4x - 4

y = -4x + 4.

Now, first let's define the terms used in the question.

consistent and independent: we have only one solution.

consistent and dependent: we have infinite solutions.

inconsistent: we do not have solutions.

Now, let's look at the system:

y = 4x - 4

y = -4x + 4.

Let's take the quotient between both the equations:

(y/y) = (4x - 4)/(-4x + 4)

1 = (4x - 4)/(-4x + 4)

let's see if we can solve this for x.

1*(-4x + 4) = 4x - 4

-4*x + 4 = 4x - 4

-4x - 4x = -4 - 4

-8*x = -8

x = -8/-8 = 1.

and to find the value of y, we can input this value of x in one of the equations:

y = 4*1 - 4 = 0.

Then we have only one solution, (1, 0).

(and will be the same if you input x in the other equation, as the right side is minus the right side of the first equation)

Then the system is consistent and independent.

5 0

2 years ago