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zalisa
1 month ago
12

Simplify the expression: (x⁴ + 3x³ – 2x² + 5) + (2x⁴ – 5x³ + 4x – 15).

Mathematics
1 answer:
lawyer [12.5K]1 month ago
7 0

3x4-2x3-2x2+4x-10

Explication étape par étape:

Il suffit de regrouper les termes similaires.

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Answer: C) HF measures 4 units and GH is 2 units.

Step-by-step explanation:

The SSS similarity theorem asserts that triangles are similar if the lengths of their corresponding sides are in proportion.

For triangles ΔDFE and ΔGFH:

DG equals 15, GF is 5, EH equals 12, and DE is 8.

To demonstrate the similarity of ΔDFE and ΔGFH according to the SSS similarity theorem, we require:

\frac{DF}{GF}=\frac{FE}{FH}=\frac{DE}{GH}\\\\\Rightarrow\frac{DG+GF}{GF}=\frac{FH+EH}{FH}=\frac{DE}{GH}\\\\\Rightarrow\frac{5+15}{5}=\frac{12+HF}{FH}=\frac{8}{GH}\\\\\Rightarrow\frac{20}{5}=\frac{12+HF}{FH}\ and\ \frac{20}{5}=\frac{8}{GH}\\\\\Rightarrrow4HF=12+HF\ and\ GH=\frac{8}{4}\\\\\Rightarrow3HF=12\ and\ GH=2\\\\\Rightarrow HF=4\ and\ GH=2

Thus, to confirm that △DFE is similar to △GFH utilizing the SSS similarity theorem and the data from the diagram, it is essential to establish that HF measures 4 units and GH measures 2 units.

5 0
2 months ago
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A gazebo is being built near a nature trail. An equation of the line representing the nature trail is y = 13x−4. Each unit in th
PIT_PIT [12445]

Respuesta:

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Explicación paso a paso:

Dado que:

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y = 13x - 4

Distancia del gazebo respecto al sendero de naturaleza:

Cada unidad en el plano de coordenadas = 10 pies

Por lo tanto,

y = 13(10) - 4

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y = 126 pies

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Question ?Johnny's cafe serves desserts. One serving of ice cream and two servings of blueberry pie provides 810calories. Three
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Answer: It is 240

Step-by-step explanation:

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