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AVprozaik [17]
3 years ago
12

What is the equation of the line perpendicular to 2x − 5y = −35 that contains the point (10, 4)?

Mathematics
2 answers:
Gnoma [55]3 years ago
7 0
Perpendicular has slope that multiplies to -1 in other sloope

thsi one

2x-5y=-35
-5y=-2x-35
y=2/5x+7
slope=2/5
2/5 times -5/2=-1
y=-5/2x+b
findn b
(10,4)
(x,y)
4=-5/2(10)+b
4=-25+b
21=b
y=-5/2x+21
2y=-5x+42
5x+2y=42
marishachu [46]3 years ago
3 0
I left the equation in the gradient-intercept form which is just the form where the 'y' variable in the equation is with a coefficient of 1.... Hope you can see the picture though.<span />

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2.<br>√3x + 7 + √x + 1 =2​
taurus [48]

Answer:

  x = -1

Step-by-step explanation:

The usual approach to these is to square the radicals until they are gone.

  \displaystyle\sqrt{3x+7}+\sqrt{x+1}=2\\\\(3x+7) +2\sqrt{(3x+7)(x+1)}+(x+1) = 4\qquad\text{square both sides}\\\\2\sqrt{(3x+7)(x+1)}=-4x-4\qquad\text{subtract $4x+8$}\\\\(3x+7)(x+1)=(-2x-2)^2\qquad\text{divide by 2, square again}\\\\3x^2+10x +7=4x^2+8x+4\qquad\text{simplify}\\\\x^2-2x-3=0\qquad\text{subtract the left expression}\\\\(x-3)(x+1)=0\qquad\text{factor}\\\\x=3,\ x=-1\qquad\text{solutions to the quadratic}

Each time the equation is squared, the possibility of an extraneous root is introduced. Here, x=3 is extraneous: it does not satisfy the original equation.

The solution is x = -1.

_____

Using a graphing calculator to solve the original equation can avoid extraneous solutions. The attachment shows only the solution x = -1. Rather than use f(x) = 2, we have rewritten the equation to f(x)-2 = 0. The graphing calculator is really good at showing the function values at the x-intercepts.

5 0
3 years ago
A square piece of tissue paper has a perimeter of 164 centimeters. How long is each side of the tissue paper?​
soldier1979 [14.2K]

Answer:

s = 41 cm

Step-by-step explanation:

Since all the sides on a square are equal, we can use this formula for perimeter:  P = 4s

Plugging in 164 gives us 164 = 4s, where solving for s gives us s = 41

4 0
2 years ago
The cost C (in dollars) of making n watches is represented by C = 15n + 85 .
AURORKA [14]
So the answer should be 48.58 if not then it could be 278n
5 0
3 years ago
I’ll mark you brainlist
kherson [118]

Answer:

3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The first AMC 8 was given in 1985 and it has been given annually since that time. Samantha turned 12 years old the year that she
Lorico [155]
I would start like this: which year was the seventh AMC 8??

the first was in 1985
The second: 1986
3: 1987
4: 1988
5: 1989
6: 1990
7: 1991

so seventh AMC 8 took place in 1991.
she was then 12, so we can subtract this age from 1991:

1991-12=1979

so she was born in 1979!




5 0
3 years ago
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