Rewrite the equation in standard form 2x^2=5x+6

Mathematics

1 answer:

FrozenT [24]2 years ago

8 0

Answer:

$2x^{2} =5x+6\\$

Step-by-step explanation:

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Kira, goran, & joe sent a total of 90 text messages during the weekend. Goran sent 5 fewer messages than Kira. Joe sent 3 ti

MissTica

Answer:

Kira sent 19 text messages, Goran sent 14 text messages and Joe sent 57 text messages.

Step-by-step explanation:

Let be "k" the number of text messages that Kira sent during the weekend, "g" the number of text messages that Gora sent during the weekend and "j" the number of text messages that Joe sent during the weekend.

We know know that they sent a total of 90 text messages then:

$k+g+j=90$

Goran sent 5 fewer messages than Kira. This is:

$g=k-5$

And Joe sent 3 times as many messages as Kira. Then:

$j=3k$

The steps to solve this are:

- Substitute the second equation and the third equatio into the first equation and then solve for "k":

$k+(k-5)+(3k)=90\\\\5k-5=90\\\\5k=90+5\\\\k=\frac{95}{5}\\\\k=19$

- Substitute this value into the second equation to find "g":

$g=19-5=14$

- Substitute the value of "k" into the third equation to find "j":

$j=3(19)=57$

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3 years ago

Classify the triangle as acute, right, or obtuse based on the side lengths of 8, 11, and 14.

ratelena [41]

Answer:

Obtuse

Step-by-step explanation:

$8^2+11^2=14^2\\64+121=196\\185=196$

Since the hypotenuse is bigger, the triangle is obtuse

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2 years ago

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The blue segment below is a diameter of 0. What is the length of the radius of the circle

Norma-Jean [14]

Answer:

Option (B) 5.1 units

Step-by-step explanation:

Since the radius of the circle is half of its diameter and given the diameter of the circle is 10.2 units then the radius would be $\frac{10.2}{2} = 5.1 units$