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3 years ago

Hi, which is the correct answer????

Mathematics

2 answers:

Luda [366]3 years ago

5 0

Answer:

triangle

Step-by-step explanation:

Anna11 [10]3 years ago

3 0

Answer:

d i think

Step-by-step explanation:

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Mai put $4,250 in the bank for a rate of 4% simple interest per year. After

Nataly [62]

Answer:

4760

Step-by-step explanation:

Simple interest formula:

PV(1+it)

4250(1+.04*3)=4760

8 0

3 years ago

Find the equation of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit.

leonid [27]

<u>Answer-</u>

The equations of the locus of a point that moves so that its distance from the line 12x-5y-1=0 is always 1 unit are

$12x-5y+14=0 \\ 12x-5y-14=0$

<u>Solution-</u>

Let a point which is 1 unit away from the line 12x-5y-1=0 is (h, k)

The applying the distance formula,

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{12^2+5^2}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{\sqrt{169}} \right |=1$

$\Rightarrow \left | \frac{12h-5k-1}{13} \right |=1$

$\Rightarrow 12h-5k-1=\pm 13$

$\Rightarrow 12h-5k=\pm 14$

$\Rightarrow 12h-5k=14,\ 12h-5k=-14$

$\Rightarrow 12h-5k-14=0,\ 12h-5k+14=0$

$\Rightarrow 12x-5y-14=0,\ 12x-5y+14=0$

Two equations are formed because one will be upper from the the given line and other will be below it.

4 0

3 years ago

Braden is coaching a youth soccer team, which has eight players. At the end of a tied game, Braden's team must go into a shootou

cupoosta [38]

Randomly select a chip from a bucket containing eight chips, whick are each uniquely labeled with each child's name

8 0

4 years ago

What is the slope formula of (4,2) and (7, 6.5)

Lady_Fox [76]

Suppose the given coordinates are represented as,

$\begin{gathered} (x_1,y_1)=(4,2) \\ (x_2,y_2)=(7,6.5) \end{gathered}$

Then, the formula for slope can be expressed as,

$\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{6.5-2}{7-4} \end{gathered}$

Solving it,

$m=\frac{4.5}{3}=1.5$

The slope is 1.5.

The formula of (10, 8) anjd (-5,8) is

$m=\frac{8-8}{-5-10}$

3 0

2 years ago

Consider the given matrix. 1 −1 0 5 1 4 0 1 1 Find the eigenvalues. (Enter your answers as a comma-separated list.) λ = Find the

fomenos

Answer:

Step-by-step explanation:

We have to diagonalize the matrix

$\left[\begin{array}{ccc}1&-1&0\\5&1&4\\0&1&1\end{array}\right]$

we have to solve the expression

$|A-\lambda I|=0$

Thus, by applying the determinant we obtain the polynomial

$(1-\lambda )^3+5-4=0\\(1-\lambda )^3+1=0\\$

$-\lambda^3+3\lambda^2-4\lambda+2$

$\lambda_1=1\\\lambda_2=1-i\\\lambda_3=1+i\\$

and the eigenvector will be

$v_1=(-4,0,5)\\v_2=(-1,-i,-1)\\v_3=(-1,i,1)$

HOPE THIS HELPS!!

3 0

3 years ago