Answer:
<h3>
B(4, 7)</h3>
Step-by-step explanation:
![M(3,\,3)\,,\quad A(2,\,-1)\,,\quad B(x_B,\,y_B)\\\\\overline{AM}=\overline{MB}\ \implies\ x_M-x_A=x_B-x_M\ \ \wedge\ \ y_M-y_A=y_B-y_M\\](https://tex.z-dn.net/?f=M%283%2C%5C%2C3%29%5C%2C%2C%5Cquad%20A%282%2C%5C%2C-1%29%5C%2C%2C%5Cquad%20B%28x_B%2C%5C%2Cy_B%29%5C%5C%5C%5C%5Coverline%7BAM%7D%3D%5Coverline%7BMB%7D%5C%20%5Cimplies%5C%20x_M-x_A%3Dx_B-x_M%5C%20%5C%20%5Cwedge%5C%20%5C%20y_M-y_A%3Dy_B-y_M%5C%5C)
![3-2=x_B-3\qquad\wedge\qquad 3-(-1)=y_B-3\\\\ 1=x_B-3\qquad\qquad\wedge\qquad\ \ 3+1=y_B-3 \\\\ {}\quad x_B=4\qquad\qquad\wedge\qquad\qquad \ y_B=7](https://tex.z-dn.net/?f=3-2%3Dx_B-3%5Cqquad%5Cwedge%5Cqquad%203-%28-1%29%3Dy_B-3%5C%5C%5C%5C%201%3Dx_B-3%5Cqquad%5Cqquad%5Cwedge%5Cqquad%5C%20%5C%203%2B1%3Dy_B-3%20%5C%5C%5C%5C%20%7B%7D%5Cquad%20x_B%3D4%5Cqquad%5Cqquad%5Cwedge%5Cqquad%5Cqquad%20%5C%20y_B%3D7)
Remember d=rt
so its 3.5=r(0.5)
divide 3.5 by 0.5, which is 7. His rate is 7 miles per hour.
Answer:
Kenya’s equation has infinitely many solutions
Step-by-step explanation:
we have
![-6(x-2)+3x=-3(x+3)+21](https://tex.z-dn.net/?f=-6%28x-2%29%2B3x%3D-3%28x%2B3%29%2B21)
Solve for x
Eliminate the parenthesis
![-6x+12+3x=-3x-9+21](https://tex.z-dn.net/?f=-6x%2B12%2B3x%3D-3x-9%2B21)
Group terms that contain the same variable
![-6x+3x+3x=-9+21-12](https://tex.z-dn.net/?f=-6x%2B3x%2B3x%3D-9%2B21-12)
Combine like terms
---> is true for any value of x
therefore
Kenya’s equation has infinitely many solutions
<h3>
Answer: -4/3</h3>
============================================================
Explanation:
cos(A) = 0.6 = 6/10 = 3/5
Recall that csc is the reciprocal of sine.
If csc(A) = -1.25, then sin(A) = 1/csc(A) = 1/(-1.25) = -0.8 = -8/10 = -4/5
Then we would have
tan(A) = sin(A)/cos(A)
tan(A) = sin(A) ÷ cos(A)
tan(A) = (-4/5) ÷ (3/5)
tan(A) = (-4/5) * (5/3)
tan(A) = -4/3