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sergeinik [125]
2 years ago
6

Find the area of the triangle. MY GRADE PLEASE HELP!

Mathematics
1 answer:
Airida [17]2 years ago
8 0

Answer:

B:21

Step-by-step explanation:

Area of parallelogram=315=base ×hight .

base =x

hight= 15

15 × x = 315

x= 315/15

=21

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Viefleur [7K]

Answer: why?

Step-by-step explanation:

6 0
3 years ago
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Let f(x)=a(2)^x. This exponential function is intersected twice by the line g(x)=x+b. One intersection is at point P(-2,2). Find
mr_godi [17]

Answer:

See below

Step-by-step explanation:

To find the values of a and b, we use the intersection point P.

Since the graph of f is intersected by P=(-2,2), f(-2)=2, that is, a(2)^(-2)=2. Then a=2(2)²=8.

Since the graph of g is intersected by P=(-2,2), g(-2)=2, that is, -2+b=2. Then b=2+2=4.

Hence a=8, b=4.

To find the other point of intersection Q, we need to find a number x such that f(x)=g(x), that is, 8(2)^(x)=x+4. Rewrite this equation as follows:

f(x)=8(2^x)=2^3(2^x)=2^{3+x}=g(x)=x+4

It is not easy to solve this equation analitically. Instead, you can apply a quantitative method. First, the left hand side is an exponential function, so it is always positive. Then the solution will be a number in which the right side (x+4) is positive, that is, x > -4. The solution is an integer, then the possible values are x=-3,-2,-1,0,1,2,...

Now, the RHS must be a power of two, so the possible integers are x=-3,-2,0,4,12,28,... However, the LHS grows very quickly, while the LHS grows slowly. Then, it is only necessary to test small integer values (we already know that x=-2 is a solution).

If we test with x=-1, we get 2²=4=3, then x=-1 is not a solution. Any x>-1 will not be a solution, because f increases much faster than g, and then they won't intersect. So our possibilities reduce to x=-3,-2. Taking x=-3, we get f(-3)=2⁰=1=-3+4=g(-3). Thus, (-3,0) is the other point of intersection Q. (r=-3, s=0).  

7 0
3 years ago
How to write proofs in geometry
sp2606 [1]
Make a game plan. ...
Make up numbers for segments and angles. ...
Look for congruent triangles (and keep CPCTC in mind). ...
Try to find isosceles triangles. ...
Look for parallel lines. ...
Look for radii and draw more radii. ...
Use all the givens.
5 0
3 years ago
Solve for t:<br>t-3(4-t)=-24​
OleMash [197]

Answer:

t = -3

Steps:

4t - 12 = -24

4t - 12 + 12 = -24 + 12

4t = -12

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7 0
2 years ago
What is the equation of this trend line? Enter your answers by filling in the boxes
Ymorist [56]

Answer:

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Step-by-step explanation:

The slope of the line if the scale is right should be -1/2M as it goes down half the speed. The y intercept is 110.

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3 years ago
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