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3 years ago

8

Add the following conceptually and using the standard algorithm 79-26

1 answer:

KIM [24]3 years ago

6 0

Answer: 53

Step-by-step explanation:

79

-26

53

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Let h(x)=(g o f)(x)=√x+3 <br> Which of the following could be a possible decomposition of h(x)?

hodyreva [135]

In this case, h(x) = sqrt(x) + 3

A. f(x)=x+3; g(x)=√x
B. f(x)=x; g(x)=x+3
C. f(x)=√x; g(x)=x+3
D. f(x)=3x; g(x)=√x

Again, you need to find a function f(x) that once evaluated in g(x) gives us h(x)

h(x) = g(f(x))

Looking at the options, the answer is C.

g(f(x)) = f(x) + 3 = sqrt (x) + 3 = h(x)

8 0

3 years ago

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Can someone please help me asap!

Ahat [919]

Hopes that somehow helps✍︎︎

8 0

3 years ago

What are the coordinates of the circumcenter of this triangle?

Oduvanchick [21]

Answer:

The coordinates of the circumcenter of this triangle are (3,2)

Step-by-step explanation:

we know that

The circumcenter is the point where the perpendicular bisectors of a triangle intersect

we have the coordinates

$A(-2,5),B(-2,-1),C(8,-1)$

step 1

Find the midpoint AB

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2-2}{2},\frac{5-1}{2})$

$M_A_B=(-2,2)$

step 2

Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)

Is a horizontal line (parallel to the x-axis)

$y=2$ -----> equation A

step 3

Find the midpoint BC

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M=(\frac{-2+8}{2},\frac{-1-1}{2})$

$M_B_C=(3,-1)$

step 4

Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)

Is a vertical line (parallel to the y-axis)

$x=3$ -----> equation B

step 5

Find the circumcenter

The circumcenter is the intersection point between the equation A and equation B

$y=2$ -----> equation A

$x=3$ -----> equation B

The intersection point is (3,2)

therefore

The coordinates of the circumcenter of this triangle are (3,2)

3 0

2 years ago

A map has a scale of 2cm for every 25 miles. The distance in the map between griffin park and the San Diego zoo is 10 cm. How fa

aliina [53]

$2 \times 5 = 10 \\ 25 \times 5 = 125$
125 miles

3 0

3 years ago

Please help me solve for x

kkurt [141]

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

The shown pair of angles are Co interior angle pair, therefore the sum of those angles is 180°

$\qquad \sf \dashrightarrow \: 130 \degree + 7x + 1 \degree = 180 \degree$

$\qquad \sf \dashrightarrow \: 131 \degree + 7x = 180 \degree$

$\qquad \sf \dashrightarrow \: 7x= 180 \degree - 131 \degree$

$\qquad \sf \dashrightarrow \: 7x= 49 \degree$

$\qquad \sf \dashrightarrow \: x=49 \degree \div 7$

$\qquad \sf \dashrightarrow \: x=7 \degree$

The required value of x is 7°

3 0

2 years ago

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