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4 years ago

True or false the image of the point (-8,-5) under a reflection across the y-axis is (8,-5)

Mathematics

1 answer:

kakasveta [241]4 years ago

7 0

False. A reflection over the y-axis would result in: (-8,5)

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What table represents an exponential function of the form y=b^x when 0

LenaWriter [7]

Answer:

c xdfv

Step-by-step explanation:

srfgvfsd

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4 years ago

Find the coordinates of the circumcenter for ∆DEF with coordinates D(1,3) E (8,3) and F(1,-5).

NemiM [27]

Let the coordinates of the circumcentre O of the triangle DEF be (x, y). Circumcentre of a triangle is equidistant from each of the vertices.

1. Distance OD=distance OE, then:

$(x-1)^2+(y-3)^2=(x-8)^2+(y-3)^2$ .

2. Distance OD=distance OE, then:

$(x-1)^2+(y-3)^2=(x-1)^2+(y+5)^2$ .

Solve the system:

$\left\{\begin{array}{l} (x-1)^2+(y-3)^2=(x-8)^2+(y-3)^2 \\ (x-1)^2+(y-3)^2=(x-1)^2+(y+5)^2 \end{array}\right.$ ,

$\left\{\begin{array}{l} x^2-2x+1+y^2-6y+9=x^2-16x+64+y^2-6y+9 \\ x^2-2x+1+y^2-6y+9=x^2-2x+1+y^2+10y+25 \end{array}\right.$ ,

$\left\{\begin{array}{l} 14x=63 \\ -16y=16 \end{array}\right.$ .

Then

$x=\dfrac{63}{14} =\dfrac{9}{2} =4.5,\\ \\ y=-1$ .

Answer: the coordinates of the circumcenter for ∆DEF are x=4.5, y=-1.

5 0

4 years ago

What is the size of simple space

Ahat [919]

Answer:

Por defecto el interlineado es siempre sencillo, es decir: si la letra es de tamaño 12, el espacio que hay entre línea y línea también es 12. El programa adapta el espacio automáticamente en función del tamaño de letra.

Step-by-step explanation:

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3 years ago

75,575 how do the values of the digit differ in the number?

Vsevolod [243]

Answer:

75,575 - ten-thousands place; this 7 is worth 70,000

75,575 - thousands place; this 5 is worth 5,000

75,575 - hundreds place; this 5 is worth 500

75,575 - tens place; this 7 is worth 70

75,575 - ones place; this 5 is worth 5

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4 years ago

Simplify the following expression. 3^11/5 divided by 3^-9/5

san4es73 [151]

Answer:

Answer is 81.

Step-by-step explanation:

Given two expressions are $3^{\frac{11}{5} }$ and $3^{-\frac{9}{5} }$

Now we divide first expression by the second.

$\frac{3^{\frac{11}{5} }}{3^{-\frac{9}{5} } }$

$3^{\frac{11}{5} }.3^{\frac{9}{5} }$

$3^{\frac{11}{5}+\frac{9}{5}} = 3^{\frac{20}{5} }=3^{4}=81$

Therefore 81 is the answer.

6 0

3 years ago

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