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3 years ago

Evaluate 2y + 4 for y = 15.

Mathematics

2 answers:

postnew [5]3 years ago

7 0

Answer: 34

Step-by-step explanation

Mkey [24]3 years ago

4 0

You just have to put it together.

2(15)+4 =

30+4=34

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If there are 5 terms in a quadratic sequence

exis [7]

Answer:

7.2

Step-by-step explanation:

First differences:

0.8-0.2, 1.8-0.8, 3.2-1.8, 5.0-3.2

0.6, 1.0, 1.4, 1.8

Second differences:

1.0-0.6, 1.4-1.0, 1.8-1.4

0.4, 0.4, 0.4

For the next term, add 0.4 to the last term from the first differences, and add the sum to the last term of the quadratic sequence:

0.4+1.8=2.2

2.2+5.0=7.2

∴ The next term in the sequence is 7.2

7 0

3 years ago

Find the area of the figure. If needed, round to the nearest tenth.

Umnica [9.8K]

Answer:

$18 \:ft^2$

Step-by-step explanation:

The area of a trapezoid.

$(a+b)h\frac{1}{2}$

$(8+4)3 \times \frac{1}{2}$

$(12)3 \times \frac{1}{2}$

$36 \times \frac{1}{2}$

$=18$

6 0

3 years ago

baherus [9]

Answer: see proof below

<u>Step-by-step explanation:</u>

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

4 0

3 years ago

Which symbol makes the sentence true?

stiks02 [169]

$-\frac{5}{12} \ \textless \ -\frac {2}{5}$ because -2/5 is closer to 0 than -5/12

4 0

3 years ago

Read 2 more answers

What type of transformation can be defined as moving a figure to a new location with no change to the size or shape of the figur

Makovka662 [10]

Im pretty sure its translation..

7 0

3 years ago