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Pachacha [2.7K]
3 years ago
11

Find the value of x. (5x+15) (6x-10)

Mathematics
2 answers:
Annette [7]3 years ago
7 0

Answer:

We get x = -5/3 and x = -3

Step-by-step explanation:

(5x+15) (6x-10)

Multiplying this and equating to zero, to find x.

30x^{2} -50x+90x-150=0

30x^{2} +40x-150=0

Factoring out 10.

3x^{2} +4x-15=0

3x^{2} +9x-5x-15=0

3x(x+3)-5(x+3)=0[tex](3x-5)(x+3)=0[/tex]

We get x = -5/3 and x = -3

Blizzard [7]3 years ago
4 0
(5x+15)(6x-10)
= 30x^2 + 30x - 50x - 150
= 30x^2 - 20x - 150
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The ratio of dogs to cats at an animal shelter is 33 to 22. How many dogs are at the shelter if there is a total of 3030 animals
Elena-2011 [213]
D : c = 33 : 22
where d is the number of dogs and c is the number of cats;
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4 0
3 years ago
In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.
ankoles [38]
<h2>Answer:</h2>

\boxed{\overline{MN}=37.96}

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find \overline{MN}. Since:

\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm

and \overline{MN} is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

\overline{RN}=\overline{QN}

By Pythagorean theorem, for triangle NQP:

\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}

Applying Pythagorean theorem again, but for triangle MQN:

\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}

3 0
3 years ago
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