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boyakko [2]
3 years ago
13

Factoring Trinomals (a=1)b^2 + 8b + 7

Mathematics
1 answer:
yulyashka [42]3 years ago
4 0
b^2+8b+7=b^2+b+7b+7=b(b+1)+7(b+1)\\\\=\boxed{(b+1)(b+7)}
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a parabola has its vertex at 1,1 and passes through the point -2,-2. Find the equation of this parabola
Jet001 [13]

Answer:

The vertex form of the equation is y = -\frac{1}{3}( x-1)^{2} +1.

Step-by-step explanation:

You will use the equation y=a(x-h)^{2} +k to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get y= a(x - 1)^{2} +1.

Then, we substitute the point as our x and y to get -2 = 9a+1 (a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the 9a to get 9a = 3. Finally, divide by 9 on both sides to get a=\frac{1}{3}.

Now, substitute your a back into the equation to get y = -\frac{1}{3}(x-1)^{2}+1.

This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get y = -\frac{1}{3} x^{2} +\frac{2}{3} x+\frac{2}{3}.

5 0
3 years ago
in a class the ratio of boys to girls is 3/2. if there are 12 boys in the class, how many girls are there? ​
Travka [436]

Answer:

8

Step-by-step explanation:

3 times 4 is 12 and 2 times 4 is 8

4 0
3 years ago
Read 2 more answers
Show how to rewrite 1/2 with the denominator 10.
sveta [45]
5/10 because you multiply the denominator and numerator by 5
8 0
3 years ago
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Name the postulate or theorem you can use to prove TKS=TLR
OlgaM077 [116]

Answer:

ASA postulate

Step-by-step explanation:

To prove two triangles are congruent, you need 3 congruent parts in one of the patterns ASA, AAS, SSS, or SAS. Place your pencil on one vertex of the triangle then trace the figure. As you come to each congruent part, write either A for angle or S for side depending on what the part is. After doing so, you will see the pattern A - S - A since a side is congruent between two angles.

8 0
3 years ago
A restaurant has a sign by the front door that says, "Maximum occupancy: 75 people."
nikklg [1K]

Answer:

112%

Step-by-step explanation:

The percentage of its capacity is calculated as

Number of people / Maximum Occupancy × 100%

Number of people = 84 people

Maximum Occupancy = 75 people

Hence:

84 people /75 people × 100

= 1.12 × 100

= 112%

Therefore, the percentage of its capacity that is 84 people is 112 %

7 0
2 years ago
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