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Rashid [163]
2 years ago
6

HELPPP PLSSS 18. A triangle has verticesA(4,3), B(6,9) and C(2, -3). The triangle is rotated 90°

Mathematics
1 answer:
Mariulka [41]2 years ago
8 0

Answer:

  F and H are NOT true

Step-by-step explanation:

Rotation 90° CCW is represented by the transformation ...

  (x, y) ⇒ (-y, x)

Then the rotated coordinates are ...

  A(4, 3) ⇒ A'(-3, 4) . . . . . quadrant II

  B(6, 9) ⇒ B'(-9, 6) . . . . . quadrant II

  C(2, -3) ⇒ C'(3, 2) . . . . . quadrant I

The rotated figure will be congruent to the original, because rotation is a rigid transformation.

__

Consider the answer choices:

  F: (-3, -4) is A' --- NOT true

  G: triangles are congruent --- true

  H: B is in quadrant III --- NOT true

  J: (3, 2) is the coordinates of C' --- true

Both choices F and H are NOT true.

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Dexter deposited 6,300 into a saving account that earns 2.60% simple interest per year. How much interest will she earn in 4 yea
Gnoma [55]

Answer:

2

Step-by-step explanation:

6 0
2 years ago
deon earned a total of $61 from selling jewelry at a fair. He earned $5 for selling one necklace. He also earned $8 for each bra
Elis [28]

Answer: 7

Step-by-step explanation:

8x +5 = 61

subtract 5 from both sides

8x = 56 divide both sides by 8 to get x by itself

x= 7

7 0
3 years ago
Consider the population regression of log earnings [Yᵢ, where Yᵢ= ln(Earningsᵢ)] against two binary variables:
puteri [66]

Answer:

A) allows the population effect on log earnings of being married to depend on gender

Step-by-step explanation:

The regression equation of a dependent variable based on two or more independent variables is of the form:

Y=b_{0}+b_{1}X_{1} +b_{2}X_{2}+b_{3}X_{1}X_{2}

Here,

<em>Y</em> = dependent variable

X_{1} and X_{2} = independent variables

X_{1}X_{2} = interaction term

b_{1},\ b_{2}\ and \ b_{3} = regression coefficients.

If there is a significant interaction effect present then this implies that the effect of one independent variable (X_{1} orX_{2} ) on the dependent variable (<em>Y</em>) differs every time with different value of the other independent variable  (X_{1} orX_{2} ) .

The provided regression equation is:

Y_{i}=\beta _{0}+\beta _{1}D_{1i}+\beta_{2}D_{2i}+\beta _{3}D_{1i}D_{2i}+u_{i}

Y_{i} = dependent variable

D_{1i} and D_{2i} = independent variables

In this case the interaction term is defined as follows:

The effect of being married on log earnings is dependent on different values of the variables D_{2i}, i.e. the gender of the i^{th}person.

Thus, the correct option is (A).

3 0
3 years ago
Find the length of side x in the simplest radical form with a rational denominator.
krok68 [10]

Answer:

\sqrt{2}

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

tan(45)=\frac{x}{\sqrt{2}}

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by \sqrt{2}. \sqrt{2} multiplied by itself is simply 2. Try it! We also want to multiply the numerator by \sqrt{2}, but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

tan(45)=\frac{x\sqrt{2} }{2}

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

\frac{x\sqrt{2} }{2*2} =x\sqrt{2}

tan(45)*2=2

We can plug 2 in for the x in the numerator now:

\frac{2\sqrt{2} }{2}

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of x=\sqrt{2}

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

7 0
3 years ago
A country's population in 1993 was 94 million. in 1999 it was 99 million
Ulleksa [173]

Answer:

i dont get it

Step-by-step explanation:

5 0
3 years ago
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