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Karolina [17]
3 years ago
12

Write three different equivalent expressions to 5(2x + 6) +25x + 12.​

Mathematics
1 answer:
elena-s [515]3 years ago
6 0

5(2x+6)

2x+6+25

25x+12

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Is 49 the gcf of 42 and 154
Eduardwww [97]
No, 14 is the gcf of 42 and 154.
6 0
3 years ago
If (ax+2)(bx+7)=15x2+cx+14 for all values of x, and a+b=8, what are the 2 possible values fo c
dolphi86 [110]

Given:

(ax+2)(bx+7)=15x^2+cx+14

And

a+b=8

Required:

To find the two possible values of c.

Explanation:

Consider

\begin{gathered} (ax+2)(bx+7)=15x^2+cx+14 \\ abx^2+7ax+2bx+14=15x^2+cx+14 \end{gathered}

So

\begin{gathered} ab=15-----(1) \\ 7a+2b=c \end{gathered}

And also given

a+b=8---(2)

Now from (1) and (2), we get

\begin{gathered} a+\frac{15}{a}=8 \\  \\ a^2+15=8a \\  \\ a^2-8a+15=0 \end{gathered}a=3,5

Now put a in (1) we get

\begin{gathered} (3)b=15 \\ b=\frac{15}{3} \\ b=5 \\ OR \\ b=\frac{15}{5} \\ b=3 \end{gathered}

We can interpret that either of a or b are equal to 3 or 5.

When a=3 and b=5, we have

\begin{gathered} c=7(3)+2(5) \\ =21+10 \\ =31 \end{gathered}

When a=5 and b=3, we have

\begin{gathered} c=7(5)+2(3) \\ =35+6 \\ =41 \end{gathered}

Final Answer:

The option D is correct.

31 and 41

8 0
1 year ago
Drag each description to the correct location to complete the flow chart proof. Given: . D is the midpoint of . . Prove: is an i
prisoha [69]

The isosceles triangle is proved below.

<h3>How to illustrate the triangle?</h3>

The complete information wasn't found. The proofing of the triangle will be illustrated. It should be noted that the angles opposite to the equal sides of an isosceles triangle are also equal.

Proof: Consider an isosceles triangle ABC where AC = BC.

We need to prove that the angles opposite to the sides AC and BC are equal, that is, ∠CAB = ∠CBA.

We first draw a bisector of ∠ACB and name it as CD.

Now in ∆ACD and ∆BCD we have,

AC = BC                                                                (Given)

∠ACD = ∠BCD                                                    (By construction)

CD = CD                                                               (Common to both)

Thus,  ∆ACD ≅∆BCD                                        (By SAS congruence criterion)

So, ∠CAB = ∠CBA                                              (By CPCT)

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

8 0
2 years ago
Which equation can be used to solve for x in the following diagram? (2x + 15)° and 65°
givi [52]

D

Step-by-step explanation:

Angles on a straight line are supplementary (they sum up to 180°)

8 0
3 years ago
X^{2}-7x-25=0 to the nearest tenth
shepuryov [24]

Answer:

x = 9.6

x = - 2.6

Step-by-step explanation:

x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}

Ignore the before the ± it wouldn't let me type it correctly.

x² - 7x - 25 = 0

a = 1

b = - 7

c = - 25

x=\frac{-(-7)±\sqrt{-7^{2}-4((1)(-25)) } }{2(1)}

x=\frac{7±\sqrt{49-4((1)(-25)) } }{2(1)}

x=\frac{7±\sqrt{49+100 } }{2(1)}

x=\frac{7±\sqrt{149 } }{2}

x=\frac{7±12.2}{2}

Two separate equations

x=\frac{7+12.2}{2}

x=\frac{7-12.2}{2}

x=\frac{7+12.2}{2}

x=\frac{19.2}{2}

x = 9.6

x=\frac{7-12.2}{2}

x=\frac{-5.2}{2}

x = - 2.6

5 0
3 years ago
Read 2 more answers
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