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2 years ago

Lisa wrote the following statement:

Mathematics

1 answer:

AleksandrR [38]2 years ago

6 0

Answer:

Step-by-step explanation:

hope this helped :)

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A line passes through (1, 8) and is perpendicular to the graph of y = 2x+1. What equation

Genrish500 [490]

Answer:

y = -1/2x + 17/2

Explanation:

y = 2x + 1 is in slope intercept form

in the equation y = mx+b, m is the slope, and in the equation m =2

the slope of a perpendicular line is the negative reciprocal of the other slope.

slope of perpendicular= -1/m = -1/2

y = -1/2x + b

now find b by substituting in (1,8) into the partial equation

8 = -1/2 + b

b = 8+ 1/2

b = 17/2

please give thanks :) hope this helps

5 0

2 years ago

5x+5y=-30 find the x and y intercept

Masja [62]

<em>The x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>

<h2 /><h2>Explanation:</h2>

The Standard Form of the equation of a line is given by:

$Ax+By=C \\ \\ A,B,C \ Real \ Constants \ and \ A>0$

So:

$5x+5y=-30$

is written in Standard Form. The x and y intercepts are:

$x-intercept: \ (x,0) \\ \\ y-intercept: \ (0,y)$

So:

FOR X-INTERCEPT:

$Let's \ set: \\ y=0 \\ \\ 5x+5(0)=-30 \\ \\ Isolating \ x: \\ \\ 5x=-30 \\ \\ x=-\frac{30}{5} \\ \\ \boxed{x=-6}$

FOR Y-INTERCEPT:

$Let's \ set: \\ x=0 \\ \\ 5(0)+5y=-30 \\ \\ Isolating \ x: \\ \\ 5y=-30 \\ \\ y=-\frac{30}{5} \\ \\ \boxed{y=-6}$

Finally,<em> the x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>

<h2>Learn more:</h2>

Parallel lines: brainly.com/question/12169569

#LearnWithBrainly

6 0

3 years ago

Lines l and m are parallel. Find m∠3 if m∠5 = 38 and m∠6 = 62.

saul85 [17]

You can download answer here

shorturl.at/ipxUY

5 0

2 years ago

The bases of the trapezoid are 6 and 10. The height is 4. Find the area.

kari74 [83]

<h2>Answer:</h2>

$b. \ \boxed{32 \sq. \ units}$

<h2>Step-by-step explanation:</h2>

A trapezoid is a quadrilateral where at least one pair of opposite sides are parallel. In a trapezoid, the both parallel sides are known as the bases of the trapezoid. So we have two bases, namely, $b_{1}\,and\,b_{2}$ . Also, the height $H$ of the trapezoid is the length between these two bases that's perpendicular to both sides. So the area of a trapezoid in terms of of $b_{1},b_{2}\:and\:H$ is: