What is the value of 26 - 16 / 2 + 3 * 4 = A. 32 B. 30 C. 6 D. 22

Two angles in a triangle measure 102 degrees and 67 degrees. What is the measure of the third angle?

Nat2105 [25]

Answer:

11 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees.

From 180 degrees we subtract the sum of 102 degrees and 67 degrees, obtaining 11 degrees (first answer choice)

3 0

3 years ago

A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint. To make the same shade using the 35

andrew-mc [135]

Answer:

87.5 teaspoons

Step-by-step explanation:

Given that a mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint.

So, Purple paint : Blue paint = 6 :15

To make the same shade the ratio of purple and blue paint must be the same.

In the new mixture, the amount of purple paint =35 teaspoon.

let the amount of red paint =x teaspoon.

So, in the new mixture,

Purple paint : Blue paint = 35 : x

So, to make the same shade, the ratio of purple and red paint must be the same, i.e

35 : x = 6 :15

$\Rightarrow \frac {35}{x}=\frac{6}{15}$

$\Rightarrow x={35\times15}{6}=87.5$

Hence, 87.5 teaspoons of red paint required to mix with 35 teaspoons of purple paint to make the same shade.

6 0

3 years ago

(-4,5) and y= 2x+4 Need help

tamaranim1 [39]

Answer:

y=2x+4

Step-by-step explanation:

y=0

0=2x+4

x=-2

x=2

4 0

4 years ago

2.) The Finish Line buys a pair of shoes wholesale for

Pepsi [2]

Answer:

$91.826

Step-by-step explanation:

65.59 x 40%(0.4) = 26.236

65.59 + 26.236 = $91.826

5 0

3 years ago

Drag each equation and coordinate to the correct location on the table. Not all equations or coordinates will be used. In the ta

Elena L [17]

Answer:

Standard Form Equivalent Form Extreme Values

y=x^2-6x+17 (x-3)^2+8 (3,8)

y=x^2+8x+21 (x+4)^2+5 (-4,5)

y=x^2-16x+60 (x-8)^2-4 (8,-4)

Step-by-step explanation:

1) Standard form:

y=x^2-6x+17

Equivalent Form:

Can be found using completing the square method.

$y=x^2-6x+17\\y=x^2-2(x)(3)+(3)^2-(3)^2+17\\y=(x-3)^2-9+17\\y=(x-3)^2+8$

So, Equivalent form is: (x-3)^2+8

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate is: 2x-6

Now, put the derivate equal to zero: 2x-6 = 0

$2x=6\\x=6/3 \\x=3$

Maximum value can be found by putting minimum value in the given function:

Put x = 3 and solve:

$(3)^2-6(3)+17\\9-18+17\\9-1\\=8\\$

So, the extreme values is: (3,8)

2) Standard form:

y=x^2+8x+21

Equivalent Form:

Can be found using completing the square method.

$y=x^2+8x+21\\y=x^2+2(x)(4)+(4)^2-(4)^2+21\\y=(x+4)^2-16+21\\y=(x+4)^2+5$

So, Equivalent form is: (x+4)^2+5

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2+8x+21 is: 2x+8

Now, put the derivate equal to zero:

$2x+8 = 0\\2x=-8\\x=-8/2 \\x=-4$

So, minimum value is: -4

Maximum value can be found by putting minimum value in the given function:

Put x = -4 and solve:

$x^2+8x+21\\=(-4)^2+8(-4)+21\\=16-32+21\\=5$

So, Maximum value is: 5

So, the extreme values is: (-4,5)

3) Standard form:

y=x^2-16x+60

Equivalent Form:

Can be found using completing the square method.

$y=x^2-16x+60\\y=x^2-2(x)(8)+(8)^2-(8)^2+60\\y=(x-8)^2-64+60\\y=(x-8)^2-4$

So, Equivalent form is: (x-8)^2-4

Extreme value:

Extreme values are basically the minimum and maximum value of the function.

Minimum Value will be found by finding derivative of the function:

The derivate of x^2-16x+60 is: 2x-16

Now, put the derivate equal to zero:

$2x-16 = 0\\2x=16\\x=16/2 \\x=8$

So, minimum value is: 8

Maximum value can be found by putting minimum value in the given function:

Put x = 8 and solve:

$x^2-16x+60\\=(8)^2-16(8)+60\\=64-128+60\\=-4$

So, Maximum value is: -4

So, the extreme values is: (8,-4)

4 0

3 years ago

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