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katrin [286]
3 years ago
10

The table shows Frank and his brother's monthly salaries.

Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0

Answer:

the first blank is frank

the second blank is $15

Step-by-step explanation:

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The coordinate points of triangle ABC are A(5,0), B(2,1), and C(-4,-4). If the triangle is translated 8 units right and 5 units
Studentka2010 [4]

Answer:

A(13,-5)

B(10,-4)

C(4,-9)

Step-by-step explanation:

Translation of 8 units right >>> affects the "x" coordinate. Add 8 to each x coordinate.

Translation of 5 units down >>> affects the "y" coordinate. Subtract 5 from each y coordinate.

The coordinates are:

A (5,0)

B (2,1)

C (-4,-4)

New coordinates would be:

A (5+8,0-5)

B(2+8,1-5)

C(-4+8,-4-5)

Hence,

A(13,-5)

B(10,-4)

C(4,-9)

These are the new coordinates after the translation given.

6 0
3 years ago
Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2). (answer in slope-intercept form)
Ksivusya [100]
We first rewrite the line y - 3x = – 8 in <span>slope-intercept form as:

                                      y=3x-8.

The form y=mx+n is called the "</span>slope-intercept form" because m tells us the slope and n tells us the y-intercept of the line.

Thus, the slope of the line is 3. We know that if a is the slope of any line perpendicular to our line, then the product of these slopes, 3a, is -1.

This means that the slope a is equal to -1/3. We are also given that the perpendicular line contains (3, 2). Thus, we write the equation:

y-2= -\frac{1}{3}(x-3)\\\\y-2=-\frac{1}{3}x+1\\\\y=-\frac{1}{3}x+3

Answer: y=-\frac{1}{3}x+3
5 0
3 years ago
Read 2 more answers
Find the value of abc-def<br> (I need work shown)
makkiz [27]

Answer:

x = 2.5 cm

Step-by-step explanation:

In Similarity triangles, the ratio of corresponding sides of the triangles are in same.

       \sf \dfrac{AC}{BC}=\dfrac{DF}{EF}\\\\\\\dfrac{x}{2}=\dfrac{11.5}{9.2}\\\\\\x = \dfrac{11.5}{9.2}*2\\\\x = 2.5 \ cm

4 0
2 years ago
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The length of a rectangle is three centimeters more than twice the width. The perimeter is 78. Use Guess and Check to find out h
KengaRu [80]
 (perimeter of a rectangle) 2w + 2l
l = 2w + 3 (length is 3 more than twice the width)P = 78  Plug in the variable values:78 = 2(2w + 3) + 2w78 = 4w + 6 + 2w78 = 6w + 670= 6w 11.6= w 
3 0
3 years ago
Zz* + 3iz = p + 9i
REY [17]

Step-by-step explanation:

I need to use the fact that it has exactly one root to find the y part - do I use the quadratic formula on the last bit I have written?

I have x already and z = x+iy

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