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3 years ago

Answers are at the bottom

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

4 0

It’s E because I did it already

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Half of a number plus 12 is 46

asambeis [7]

Let the number = x
x/2 + 12 = 46
x/2 = 46 - 12
x/2 = 34
x = 34 * 2
x = 68

So, your final answer is 68

Hope this helps!

4 0

3 years ago

Read 2 more answers

HELP PLEASEEE 9th Grade Geometry

Shtirlitz [24]

Step-by-step explanation:

AD ≅ BC, Given

∠BCD ≅ ∠ADC, Given

CD ≅ CD, Reflexive property

ΔBCD ≅ ΔADC, SAS congruence

∠BDC ≅ ∠ACD, CPCTC

ΔECD is an isosceles triangle, definition of isosceles

DE ≅ CE, properties of isosceles triangles

6 0

3 years ago

Can I get help with this

Hunter-Best [27]

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 = -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

3 0

3 years ago

What number has factors of 2 and 3 and 12 and 18 as multiples?

Firlakuza [10]

6 is the answer

hope this help

8 0

3 years ago

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The length of a rectangle is 1 ft less than twice the width, the area of the rectangle is 21 ft squared. What’s the length

guapka [62]

Answer:

The length of the rectangle is 6 feet

Step-by-step explanation:

Given as :

The length of rectangle is 1 feet less than twice the width

So, let The width of rectangle = w feet

The length of rectangle = ( 2 w - 1 ) feet

The area of the rectangle = 21 feet²

Now,

∵ The area of the rectangle = length × width

Or, 21 feet² = ( 2 w - 1 ) feet × w feet

or, 21 = 2 w² - w

or, 2 w² - w - 21 = 0

or, 2 w² + 6 w - 7 w - 21 = 0

or , 2 w ( w + 3 ) - 7 ( w + 3 ) = 0

or, ( w + 3 ) ( 2 w - 7 ) = 0

So, w = - 3 feet , $\frac{7}{2}$ feet

here we consider only positive value of w i.e $\frac{7}{2}$ feet

∴ The length of rectangle = ( 2 w - 1 ) feet

or, The length of rectangle = 2 × $\frac{7}{2}$ - 1

Or, The length of rectangle = 7 - 1 = 6 feet

Hence The length of the rectangle is 6 feet , Answer

3 0

3 years ago