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anzhelika [568]
3 years ago
15

Solve 7x^2–20x = 3. ;

Mathematics
2 answers:
valentinak56 [21]3 years ago
7 0

Answer:

x = \frac{-1}{7} <em>or </em>x = 3<em />

sasho [114]3 years ago
3 0

Answer:

x=3, -1/7

Step-by-step explanation:

7x^2-20x-3=0

Factor.

(x-3)(7x+1)=0

x-3=0 ⇒ x=3

7x+1=0 ⇒7x=-1 ⇒x= -1/7

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3 years ago
Neptune is 4.5 billion kilometers from the<br> sun. Represent this number in scientific<br> notation
Tanya [424]

Answer:

4.5 x 10 ^9

Step-by-step explanation:

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Step-by-step explanation:

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ollegr [7]

Answer:

1. SSS

2. Q and S

3. 20

Step-by-step explanation:

1. SSS similarity: If the corresponding sides of two triangles are proportional, then the two triangles are similar.

Triangles NLM and WUV are similar by SSS similarity, because

\dfrac{NL}{WU}=\dfrac{36}{63}=\dfrac{4}{7}\\ \\\dfrac{LM}{UV}=\dfrac{40}{70}=\dfrac{4}{7}\\ \\\dfrac{NM}{WV}=\dfrac{24}{42}=\dfrac{4}{7}

2. Completed steps:

a) draw a circle with center at P and radius r

b) draw a circle with center at Q and radius r

c) using compass, measure the distance between two points of intersection of the first circle with angle rays

d) using point of intersection of the second circle with PQ as a center, draw the circle of radius equal to the distance from c) to get point S

Last step: connect points Q and S, line QS will be parallel to line r.

3. If lines MN and UT are parallel, then angles MUT and VMN are congruent; also angles UTN and MNV are congruent.

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By AA similarity, triangles VMN and VUT are similar, thus

\dfrac{VM}{VU}=\dfrac{VN}{VT}\\ \\\dfrac{VM}{VM+8}=\dfrac{49-14}{49}\\ \\49VM=35(VM+8)\\ \\49VM=35VM+280\\ \\49VM-35VM=280\\ \\14VM=280\\ \\VM=20\ units

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3 years ago
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Dima020 [189]

Answer:

60/2.5 = 24 cm

Step-by-step explanation:

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