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kumpel [21]
2 years ago
11

what will be the new coordinate of vertex b if the triangle is dilated with a center at the origin by a scale factor of 1/3

Mathematics
2 answers:
Citrus2011 [14]2 years ago
6 0

Answer:

6,3

Step-by-step explanation:

ser-zykov [4K]2 years ago
4 0

Answer:

6 , 3

Step-by-step explanation:

your welcome

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Point B is on line segment AC. If AB = x + 6, BC = x + 8 and AC = 10, then find the value of x.
kumpel [21]

Step-by-step explanation:

this simply means that the sum of both short segments must be the same as the length of the whole line.

so,

x + 6 + x + 8 = 10

2x + 14 = 10

x + 7 = 5

x = 5 - 7 = -2

7 0
2 years ago
If y=e5t is a solution to the differential equation
a_sh-v [17]

Answer:

k = 30, y(t) = C_1e^{5t}+C_2e^{6t}

Step-by-step explanation:

Since y=e^{5t} is a solution, then it must satisfy the differential equation. So, we calculate the derivatives and replace the value in the equation. We have that

\frac{d^2y}{dt^2} = 25 e^{5t},\frac{dy}{dt} = 5e^{5t}

Then, replacing the derivatives in the equation we have:

25e^{5t}-11(5)e^{5t}+ke^{5t}=0 e^{5t}(25-55+k) =0

Since e^{5t} is a positive function, we have that

25-55+k = 0 \rightarrow k = 30.

Now, consider a general solution y(t) = Ae^{rt}, A \in \mathbb{R}, then, by calculating the derivatives and replacing them in the equation, we get

Ae^{rt}(r^2-11r+30)=0

We already know that r=5 is a solution of the equation, then we can divide the polynomial by the factor (r-5) to the get the other solution. If we do so, we get that (r-6)=0. So the other solution is r=6.

Therefore, the general solution is

y(t) = C_1e^{5t}+C_2e^{6t}

8 0
3 years ago
Can yall help, whoever answers correctly will get brainllest!
melamori03 [73]

Answer:

A,C,D

Step-by-step explanation:

4 0
2 years ago
Write a multiplication sentence using zero as the property
gtnhenbr [62]
The "Property<span> of </span>Zero" of Multiplication <span>shows that the product of </span>zero<span> and any number is </span>zero<span>.
</span>
Here is one example:
___________________________
5 x 0 = 0 .
______________________________
{"Five times zero equals zero."}.
{"Five multiplied by zero equals zero".}.
___________________________________
4 0
3 years ago
If m= 8, then evaluate 2(m+3)/11​
Ymorist [56]

Answer:

2

Step-by-step explanation:

Substitute m=8 into the equation

Firstly deal with the bracket

then multiplication

then division

2(11)/11

8 0
3 years ago
Read 2 more answers
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