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artcher [175]
3 years ago
14

20 points!!! y=5(x - 5)(x+3) written in vertex form and standard form

Mathematics
1 answer:
shusha [124]3 years ago
3 0

Vertex form:

y = 5  (x - 1)^2 - 80

Standard Form:

y = 5x^2 - 10x - 75

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Triangle QRS is transformed as shown on the graph. Which rule describes the transformation?​
bulgar [2K]

Answer:

270°

Step-by-step explanation:

(x , y) --> (y, -x)

90° clockwise rotation

270° anti-clockwise rotation

3 0
3 years ago
A triangle has sides with lengths of 4, 12, and 13. Is it a right triangle
Iteru [2.4K]

Answer:

this is the anwser

Step-by-step explanation:

4 12 13 triangle

Obtuse scalene triangle.

Sides: a = 4   b = 12   c = 13

Area: T = 23.894

Perimeter: p = 29

Semiperimeter: s = 14.5

Angle ∠ A = α = 17.839° = 17°50'19″ = 0.311 rad

Angle ∠ B = β = 66.782° = 66°46'55″ = 1.166 rad

Angle ∠ C = γ = 95.379° = 95°22'46″ = 1.665 rad

Height: ha = 11.947

Height: hb = 3.982

Height: hc = 3.676

Median: ma = 12.349

Median: mb = 7.517

Median: mc = 6.144

Inradius: r = 1.648

Circumradius: R = 6.529

Vertex coordinates: A[13; 0] B[0; 0] C[1.577; 3.676]

Centroid: CG[4.859; 1.225]

Coordinates of the circumscribed circle: U[6.5; -0.612]

Coordinates of the inscribed circle: I[2.5; 1.648]

Exterior (or external, outer) angles of the triangle:

∠ A' = α' = 162.161° = 162°9'41″ = 0.311 rad

∠ B' = β' = 113.218° = 113°13'5″ = 1.166 rad

4 0
3 years ago
Read 2 more answers
If the ratio of the sides of two similar prisms is 3:5 and the volume of the first prism is 54, what is the volume of the second
Yuri [45]
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\

\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{s^3}{s^3}=\cfrac{\textit{volume of smaller}}{\textit{volume of larger}}\implies \cfrac{3^3}{5^3}=\cfrac{54}{v}
\\\\\\
v=\cfrac{5^3\cdot 54}{3^3}
3 0
3 years ago
30 Points! Help Please!
valina [46]

Step-by-step explanation:

Draw a picture of the tetrahedron.  Pick a point K on the line AB, then draw a triangular plane connecting the points K, C, and D.

The intersection of plane KCD and plane ABC is the line KC.

The intersection of plane KCD and plane ABD is the line KD.

The intersection of plane KCD and plane ACD is the line CD.

The intersection of plane KCD and plane BCD is the line CD.

4 0
3 years ago
Circle O has a circumference of 88π cm. What is the length of the radius of the circle? cm
Vitek1552 [10]

Answer:

44cm

Step-by-step explanation:

Formula of circumference of circle: C = 2πr

Since C = 88π

⇒ 88π = 2πr

⇒ r = 88π/2π

⇒ r = 44cm

8 0
3 years ago
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