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3 years ago

Write equation parallel to x=5 through the point (_6,6)

Mathematics

1 answer:

uranmaximum [27]3 years ago

7 0

Answer:

$\boldsymbol x\boldsymbol=\boldsymbol - \bold6$

Step-by-step explanation:

Graph of x=5 is vertical straight line parallel to y-axis and perpendicular to x-axis. The points on graph have the x-coordinate as 5 and y-coordinate varies.

Similarly, line parallel to x=5 or y-axis passing through point (-6,6), in that all the points have same x-coordinate as -6. So the equation of line will be x=-6

For simplicity of visualization graph of both the equation x=5 and x=-6 are attached.

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Tan(2 sin^-1 0.4)<br> Find the Exact value

stiv31 [10]

Answer:

tan(2u)=[4sqrt(21)]/[17]

Step-by-step explanation:

Let u=arcsin(0.4)

tan(2u)=sin(2u)/cos(2u)

tan(2u)=[2sin(u)cos(u)]/[cos^2(u)-sin^2(u)]

If u=arcsin(0.4), then sin(u)=0.4

By the Pythagorean Identity, cos^2(u)+sin^2(u)=1, we have cos^2(u)=1-sin^2(u)=1-(0.4)^2=1-0.16=0.84.

This also implies cos(u)=sqrt(0.84) since cosine is positive.

Plug in values:

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.84-0.16]

tan(2u)=[2(0.4)(sqrt(0.84)]/[0.68]

tan(2u)=[(0.4)(sqrt(0.84)]/[0.34]

tan(2u)=[(40)(sqrt(0.84)]/[34]

tan(2u)=[(20)(sqrt(0.84)]/[17]

Note:

0.84=0.04(21)

So the principal square root of 0.04 is 0.2

Sqrt(0.84)=0.2sqrt(21).

tan(2u)=[(20)(0.2)(sqrt(21)]/[17]

tan(2u)=[(20)(2)sqrt(21)]/[170]

tan(2u)=[(2)(2)sqrt(21)]/[17]

tan(2u)=[4sqrt(21)]/[17]

7 0

3 years ago

2) Fill in an angle measure greater than 100 degrees for the missing angle in yellow below. You will fill

timama [110]

Answer:

m∠a = 110°

m∠b = 110°

m∠c = 70°

m∠d = 70°

m∠i = 110°

m∠h = 110°

m∠j = 70°

m∠g = 110°

m∠f = 70°

m∠e = 70°

m∠k = 57°

m∠m = 70°

m∠l = 167°

Step-by-step explanation:

Let the measure of the yellow angle = 110°

Therefore;

m∠a = 110° by vertically opposite angles

m∠b = m∠a = 110° by opposite interior angles of a parallelogram

m∠c = 180° - 110° = 70° by same side interior angles

m∠d = m∠c = 70° by opposite interior angles of a parallelogram

m∠i and m∠c are supplementary angles, therefore, m∠i = 110°

m∠h = m∠i = 110° by vertically opposite angles

m∠j = m∠c = 70° by vertically opposite angles

m∠g and m∠d are supplementary angles, therefore, m∠g = 110°

m∠f = m∠d = 70° by alternate interior angles

m∠f = m∠e = 70° by vertically opposite angles

m∠k = 180° - (m∠h + 13°) = 180° - (110° + 13°) = 57°

m∠b and m∠m are supplementary angles, therefore, m∠m = 70°

m∠l and 13° are supplementary angles, therefore, m∠l = 167°

4 0

3 years ago

How do you go from slope-intercept form to standard form

dexar [7]

Thats How you go from slope to to standard form

6 0

3 years ago

Please help with these questions!!:))

Sonbull [250]

Answer:

The first one : decay

The second one : growth

When the argument of the exponential expression is bigger that 1 then it represents a growth

When it's less than 1 and above 0 then it's a decay

8 0

3 years ago

A food pantry is making packages. Each package weighs 64 pounds. Each of their packages contains 4 identical bags of rice and a

Vinil7 [7]

Answer:

64 = 4x + 7 Each bag of rice weighs 14.25 pounds.

Step-by-step explanation:

Each package is 64 pounds, which give us one side of the equal sign. The other side is ehre we make the 64 pounds. There is one 7 pound bag of beans, and four equal bags of rice. To find the pounds per bag of rice, we do 64-7 to get 57, then 57/4 to get 14.25

7 0

3 years ago

Write equation parallel to x=5 through the point (_6,6)​

Write equation parallel to x=5 through the point (_6,6)