Answer:
(x,y)=(0,-23)
Step-by-step explanation:
Answer:
Axis of symmetry is x = -4
Step-by-step explanation:
h(x)= 5x^2+40x+ 64
Use the formula for axis of symmetry: x = -b/(2a)
Here, a = 5, b = 40, c = 64
so
x = -40/(2*5) = -40/10 = -4
Axis of symmetry is x = -4
The expression in radical form is ![(\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
In order to express the given indices expression in radical form, we need to ensure there is a square root present in the resulting expression.
According to the law of indices,
![a^{m/n} = \sqrt[n]{m}](https://tex.z-dn.net/?f=a%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bm%7D)
Given the indices 
Comparing with the general formula, we will see that:
m = 3
n = 7
a = 
Applying the law of indices:
![(3x^4y^5) ^ {3/7} = (\sqrt[7]{3x^4y^5}) ^3](https://tex.z-dn.net/?f=%283x%5E4y%5E5%29%20%5E%20%7B3%2F7%7D%20%3D%20%28%5Csqrt%5B7%5D%7B3x%5E4y%5E5%7D%29%20%5E3)
Hence the expression in radical form is
Learn more here: brainly.com/question/6755932
Answer:
We divided the figure into 1 triangle and 2 rectangles.
Adding up the area of them, we get the total area:
A = 14 x (10 + 8 + 12 - 16)/2 + 8 x 5 + 6 x (12 + 8)
= 258 (yd2)
Hope this helps!
:)
Answer:
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.
Statement Reason
RS ⊥ TS and RV ⊥ TV Given
∠S = ∠V are right angles Definition of perpendicular. Since RS ⊥ TS,
hence ∠S = 90° and RV ⊥ TV hence ∠V = 90°
ST ≅ VT Given
RT ≅ RT Reflexive property of congruence
ΔTSR ≅ ΔTVR Hypotenuse leg congruence theorem. For
two right triangles, if the hypotenuse and leg
of one triangle is the same as the hypotenuse
and leg of the second triangle, then the two
triangles are congruent.
RS ≅ RV Definition of congruency.
