3 years ago

Help please!!!! 10 points

Mathematics

1 answer:

Artemon [7]3 years ago

3 0

Step-by-step explanation:

This is the answer.... Working shown

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The vertex of y=x^2+12x+32

ollegr [7]

Answer:

The vertex is y=-4

Step-by-step explanation:

The vertex is the minimum point of the graph of the quadratic equation.

Let's first find the like of symmetry.

dy/dx=2x+12

2x+12=0

2x=-12

x=-6

Now plug -6 into the quadratic equation

y=(-6)²+12(-6)+32

y=-4

7 0

2 years ago

Triangle ABC has coordinates A(1, 4); B(3, -2); and C(4, 2). Find the coordinates of the image A'B'C' after a reflection over th

marin [14]

Answer:

Co ordinate of A' = (1, -4)

Co ordinate of B' = (3, 2)

Co ordinate of C' = (4, -2)

Explanation:

The figure of the triangle is shown below.

If we are finding image of the triangle about X-axis all the x -co-ordinates will remain same, but y co-ordinate will change it's sign.

So, co ordinate of A' = (1, -4)

Co ordinate of B' = (3, 2)

Co ordinate of C' = (4, -2)

3 0

3 years ago

Read 2 more answers

Please help ASAP!!!!

ale4655 [162]

Answer:

Step-by-step explanation:

Going down by each column it would be 7,17,24

The next column 12,13,25

Next column 19,30,49

6 0

2 years ago

Please help it’s due tonight. Your help will be greatly appreciated.There is also a graph. WILL PUT YOU AS BRAINLY!!!!!!

chubhunter [2.5K]

Answer: see below

Step-by-step explanation:

The shape is a trapezoid

Base 1 (BH) is 10

Base 2 (QA) is 14

Height is 5

Area

$A=\frac{base_{1} +base_{2} }{2} h$

$A=\frac{10+14}{2} *5\\A=12*5\\A=60$

Find distance between QB and HA

$D=\sqrt{(x_{2} -x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}$

Q( -4,4) B (-2,9)

$D=\sqrt{(-2--4)^{2}+(9-4)^{2} } \\D=\sqrt{2^{2} +5^{2} } \\D=\sqrt{29}$

Perimeter

$P=10+14+2\sqrt{29} \\P=24 +2\sqrt{29} \\P= 24+10.77\\P=34.77$

5 0

3 years ago

Adrian works in New York City and makes $40 per hour. She works in an office and must pay $20 a day for lunch. If she wants to m

andrew-mc [135]

Answer: She would have to work 7 hours to earn $260.

Step-by-step explanation: 40×7=280 280-20=260 Hope this helps.

6 0

2 years ago