What is 1/7 divide by 6

Which of the following is a solution of 4x2 = − 9x − 4?

Arte-miy333 [17]

Step-by-step explanation:

4x2=−9x−4

Step 1: Subtract -9x-4 from both sides.

4x2−(−9x−4)=−9x−4−(−9x−4)

4x2+9x+4=0

For this equation: a=4, b=9, c=4

4x2+9x+4=0

Step 2: Use quadratic formula with a=4, b=9, c=4.

x=

−b±√b2−4ac

2a

x=

−(9)±√(9)2−4(4)(4)

2(4)

x=

−9±√17

8

x=

−9

8

+

1

8

√17 or x=

−9

8

+

−1

8

√17

8 0

3 years ago

FIND THE MEASUREMENT OF THE MISSING ANGLES ON THE GIVEN FIGURE BELOW AND STATE YOUR REASON

marusya05 [52]

Answer:

Step-by-step explanation:

1) ∠1 + ∠2 = 180 {linear pair}

105 +∠2 = 180

∠2 = 180 - 105

∠2 = 75°

Reason: Linear pair

2) ∠3 = ∠1 {Vertically opposite angles are congruent}

∠3 = 105

Reason: Vertically opposite angles are congruent

3 0

2 years ago

What is the solution to the system of equations graphed below?

mezya [45]

Answer:

A

Step-by-step explanation:

The solution to a system of equations is the point of intersection of the 2 lines.

The lines intersect at (6, 9 ) ← solution

4 0

2 years ago

Read 2 more answers

A 2X2 square is centered at the origin. It is dilated by a factor of 3. What are coordinates of the vertices of the square?

Vesna [10]

Answer:

The vertices are:

A' = (-3, -3)

B' = (3, -3)

C' = (3, 3)

D' = (-3, 3)

Step-by-step explanation:

Given:

A 2 x 2 square is centered at the origin.

So, the center of the square is (0, 0)

Since it is 2 x 2 square, the side of the square is 2 units.

So, the vertices of the 2 x 2 square are A (-1, -1), B(1, -1), C(1. 1), D(-1, 1)

The above square is dilated by a factor of 3.

Let's name the dilated square A'B'C'D'

To find the coordinates of the vertices of dilated square, we need to multiply each vertices of ABCD by 3.

A(-1, -1) = 3(-1, -1) = A'(-3, -3)

B(1, -1) = 3(1, -1) = B'(3, -3)

C(1, 1) = 3(1, 1) = C'(3, 3)

D(-1, 1) = 3(-1, 1) = D'(-3, 3)

7 0

3 years ago

When measuring and recording vital signs, healthcare professionals sometimes have to convert units of measurement, especially wh

nataly862011 [7]

Answer:

116°F = 46.67 °C and 6 Pounds = 2721.55 grams

Step-by-step explanation:

The information given in the question is 1°F = -17.22°C

1 Kilogram = 1000 grams = 2.2 pounds

And we have to convert 116° F to degrees Celsius and Six pounds to grams.

1) We know (°F-32)×5/9 =°C

So by putting the value of °F as 116 ⇒ (116-32)×5÷9 = °C

⇒ °C = $\frac{(84)(5)}{9}$

⇒ °C = 46.67

2). ∵ 2.2 Pounds = 1000 grams

∴1 Pound = 1000/2.2 = 454.54 grams

∴ 6 pounds = 6× 454.54 grams

= 2721.55 grams

4 0

3 years ago