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3 years ago

Reflect (10,-8) over the x-axis

Mathematics

1 answer:

cricket20 [7]3 years ago

3 0

Answer:

(10,8)

Step-by-step explanation:

Symmetry over x axis: you keep x, but change the sign of y value.

So, the symmetric of (10,-8) is (10,8)

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Penny is counting the days until her grandma comes to visit. There are 98 days left. How many weeks are left until Penny's grand

Lorico [155]

Create a unit rate.
1 wk/ 7 days
x wk/ 98 days
Cross multiply.
98=7x
Solve the equation.
14=x
14 weeks until her grandmother visits

3 0

3 years ago

Given that ABCD is a rhombus, find the value of x.<br> (X+14)

Kay [80]

Answer:

option B. $x=38^o$

Step-by-step explanation:

we know that

1) The two diagonals of a rhombus are perpendicular

2) The sum of the interior angles in any triangle must be equal to 180 degrees

Let

O ----> the intersection point of the diagonals of the rhombus

In the right triangle OAD

$x^o+(x+14)^o+90^o=180^o$

solve for x

$x^o+(x+14)^o=90^o$

$2x=90^o-14^o$

$2x=76^o$

$x=38^o$

6 0

3 years ago

How do I solve this, and what is the answer? please and thank you.

vovangra [49]

Answer:

A. (x +8) + (-4x+31)/(x^2+2x+1)

Step-by-step explanation:

When you perform long division of polynomials, the first quotient term is the ratio of the highest-degree terms in the numerator and denominator: x^3/x^2 = x.

This fact eliminates all but choices A and C.

The denominator of the remainder term is the denominator of the original expression, so will be x^2 +2x +1, as shown in choice A.

So, simply based on a couple of facts about long division (that you learned in the early elementary grades), you can make the correct choice of answer without actually working the problem in detail.

_____

This is a polynomial long division problem. It is worked in virtually the same way that numerical long division problems are worked: first you find a quotient term, then you multiply that by the divisor and subtract the result from the dividend. The difference is the new dividend. These steps are identical to numerical long division.

For polynomial long division, instead of lining up the digits with the same place value, you line up the terms with the same degree of the variable.

As mentioned above, the quotient term is computed only from the highest-degree terms of dividend and divisor, so that part is actually simpler than for numerical long division.

A dividend that is of lower degree than the divisor is considered to be the remainder. As with numerical long division, it can be expressed as a fraction with the divisor as the denominator.

Numerical example: 18/7 = 2 remainder 4 or 2 4/7.

8 0

3 years ago

QUICK EASY 25 POINTS!!

MAVERICK [17]

Answer:

1. leave the radical symbol and don't try to convert it to a decimal form

2. The approximated value differs from the exact solution and doesn't give a true equation.

3. Depending on the case, if she needs a mathematical answer, the exact value should be used, but for more practical applications, the rounded decimal form would be more usable.

Step-by-step explanation:

The step by step solution to the equation:

$4x^3=756\\x^3=\frac{756}{4} =189\\x=\sqrt[3]{189} \\x=\sqrt[3]{3^3*7} \\x=3*\sqrt[3]{7}$

1.- Exact solution means that if in the final step when solving for x the value of $x^3$ is not a perfect cube, one needs to leave it indicated as a radical expression (with the radical symbol).

in our case, the cubic root of 189 is not a perfect cube. The factor form of 189 is: $3^3*7$ , so there is a perfect cube factor ( $3^3$ ), but the other factor (7) is a prime number. Therefore 3 can get out of the root, while 7 stays inside.

2.- The equation was solved above, in exact form. Now to solve it giving a decimal approximation, we use a calculator to find the cubic root of 7, which is an irrational number with infinite number of decimals, the first of which we type here: $\sqrt[3]{7} = 1.91293118...$

Therefore, the decimal approximation to the solving for x would be:

$x=3*\sqrt[3]{7}=3*1,91293118...=5.73879...=5.74$

Where we rounded to two decimals as requested.

When we replace the exact answer in the original expression, we get a perfect equality:

$4*x^3=756\\4* (3\sqrt[3]{7} )^3=756\\4*3^3*(\sqrt[3]{7} )^3=756\\4*27*7=756\\\\756=756$

While if we use the approximate answer, we get:

$4*x^3=756\\\\4*(5.74)^3=756\\\\4*189.119224=756\\756.476896=756$

which is NOT a true equality.

3.- I would stick with the idea of showing the exact answer as answer to the mathematical equation. but for a practical case (for example she needs to by some material as a result of her equation solving, it would be more practical to take the numerical approximation to the store, instead of a cubic root of a number.

7 0

3 years ago

What is the complement and the supplement of 52 degrees

motikmotik

Complimentary angles add up to 90 degrees and supplementary angles add up to 180 degrees...

Complementary angle = 90-52= 38°

Supplementary angle = 180-52= 128°

4 0

2 years ago