Find the vertex of " "y = x^2 + 5x+ 4" please show steps as well thanks

Mathematics

2 answers:

zlopas [31]2 years ago

8 0

(x^2 +5x+2.5^2) +4+5

(x+2.5)^2+9

vertex -2.5,9

Juli2301 [7.4K]2 years ago

3 0

Vertex of the equation is (-2.5, -2.25)

y=x^2+5x+4 ----> find x using -b/2a

-5/2=-2.5

Now plug it in the equation to find the y-value

(-2.5)^2+5(-2.5)+4=-2.25

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PLEASE HELP!!!!! Geometry

devlian [24]

Answer:

P = 49°

R = 131°

Q = 114°

S = 66°

Step-by-step explanation:

in a quadrilateral inscribed in a circle, the opposite angles are always supplementary, meaning they add up to 150

we are given opposite angles P and R (S is not given so we can't use Q and S)

P+R = 180

5y+14 + 15y + 26 = 180

20y + 40 = 180

20y = 140

y = 7

so...

P = 5(7) + 14 = 35 + 14 = 49

R = 180-49 (since opposite angles in inscribed quadrilaterals are supplementary) = 131

Q = (7)^2 + 65 = 49 + 65 = 114

S = 180-114 = 66

8 0

2 years ago

Jose purchased 4/9 pound of peanut and 7/11 pounds of raisins find the total weight of his purchase

azamat

Answer:

The total weight of his purchase is 1.08 pounds

Step-by-step explanation:

To find the total weight of his purchase, we sum the weight of each of his purchases.

He purchased:

4/9 pound of peanut.

7/11 pounds of raisins

Total:

The least common multiple between 9 and 11 is 99.

Then

$\frac{4}{9} + \frac{7}{11} = \frac{11*4 + 9*7}{99} = \frac{107}{99} = 1.08$

The total weight of his purchase is 1.08 pounds

8 0

2 years ago

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If pos

Kamila [148]

Answer:

Step-by-step explanation:

The fractions are: $\frac{1}{5}$ and $\frac{2}{3}$ . Let's take a look at the denominators: 5 and 3. The LCD of 5 and 3 is 15. 5x3=15, 3x5=15. So now we would multiply the denominators to make them the same number like this: $\frac{5}{15}$ and $\frac{10}{15}$ . Remember that if you multiply the denominator by a certain number, you must multiply the numerator by the same number as well. For example, in $\frac{2}{3}$ , we multiply 3 by 5 and 2 by 5. Same number. Now with that out of the way, let's work on the equation: $\frac{1}{5}$ + $\frac{2}{3}$ . We know it is the same as $\frac{5}{15}$ and $\frac{10}{15}$ . So now all we do is add the numerators together: 5+10=15 or $\frac{15}{15}$ . Now we have to reduce the fraction. $\frac{15}{15}$ can be reduced to 3 by dividing 15 by 5=3. The final fraction is $\frac{3}{3}$ or can be simply put as 3 since 3/3 is a whole number. That's it - you're done!