Solve for the value of p

Mathematics

1 answer:

valentinak56 [21]3 years ago

4 0

Answer:

p=43

Step-by-step explanation:

(p+7)+(3p+1)=180

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Complete the square to find the vertex of this parabola.PLEASE HELP!!

Paladinen [302]

Answer:

(1, 5 )

Step-by-step explanation:

Given

x² - 2x + y - 4 = 0 ( add 4 to both sides )

x² - 2x + y = 4

Complete the square on x² - 2x

add ( half the coefficient of the x term )² to both sides

x² + 2(- 1)x + 1 + y = 4 + 1, that is

(x - 1)² + y = 5

Subtract (x - 1)² from both sides

y = - (x - 1)² + 5

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

y = - (x - 1)² + 5 ← is in vertex form

with vertex = (1, 5 )

4 0

3 years ago

°The angle measurements in the diagram are represented by the following expressions.

stiks02 [169]

Step-by-step explanation:

8x-10=3x+90

=5x=100

=x=20

therefore

B=3(20)+90

150°

8 0

2 years ago

Quadrilateral $abcd$ is a trapezoid with $ab$ parallel to $cd$. we know $ab = 20$ and $cd = 12$. what is the ratio of the area o

alekssr [168]

Draw a diagram to illustrate the problem as shown below.

The area of triangle acb is
A₁ = (1/2)*20*h = 10h

The area of trapezoid abcd is
A₂ = (1/2)*(20+12)*h = 16h

The ratio A₁/A₂ is
A₁/A₂ = (10h)/(16) = 5/8

Answer:
The ratio of triangle acb to the area of trapezoid abcd is 5/8.