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2 years ago

On a number line, find the midpoint between -18 and 4.

Mathematics

1 answer:

sineoko [7]2 years ago

4 0

The midpoint between these two would be -7, as you would add these two numbers, and then divide by two.

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Write an equation to show the height of the two buildings are equal to each other. Then solve for x. Show all your steps when so

Ierofanga [76]

Answer:

X = 108.

Step-by-step explanation:

Heights are equal, So equation will be,

$4 + 3 \sqrt{x - 8} = 34$

So, solving the eq.

Subtract 4 from both sides ,

$3 \sqrt{x - 8} = 30$

Divide 3 to both sides,

$\sqrt{x - 8} = 10$

Squaring both sides,

$x - 8 = 100$

Add 8 to both sides,

$x = 108$

8 0

3 years ago

The slope-intercept form given (6,-5) & perpendicular to -5x - 7y = -17.

tatuchka [14]

Answer:

$y=\dfrac{7}{5}x-\dfrac{67}{5}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$y=mx+b$

where:

m is the slope.
b is the y-intercept.

Rearrange the given equation so that it is in slope-intercept form:

$\implies -5x-7y=-17$

$\implies -7y=5x-17$

$\implies y=-\dfrac{5}{7}x+\dfrac{17}{7}$

Therefore, the slope of the given equation is -⁵/₇.

If two lines are perpendicular to each other (at right angles), the product of their slopes will be -1. Therefore, their slopes will be negative reciprocals of each other.

Therefore, the slope of the line perpendicular to the given equation is:

$\sf m=\dfrac{7}{5}$

Substitute the found slope and the given point (6, -5) into the slope-intercept formula and solve for b:

$\implies -5=\dfrac{7}{5}(6)+b$

$\implies -5=\dfrac{42}{5}+b$

$\implies b=-\dfrac{67}{5}$

Substitute the found slope and the found value of b into the slope-intercept formula to create the equation for the perpendicular line:

$\implies y=\dfrac{7}{5}x-\dfrac{67}{5}$

Learn more about slope-intercept form here:

brainly.com/question/27317293

brainly.com/question/27926846

8 0

1 year ago

expanded form 2nd grade there were some horses in a field The Farmer bought 18 more horses and put them in the field . Now he ha

sammy [17]

he bought 18 horses, the cows are irrelevant to the question, that was in there to confuse you.

5 0

3 years ago

Sam wants to buy 8 pencils and 6 pens, which cost a total of $8.50. He realizes he doesn't have enough cash and instead takes on

ikadub [295]

Answer:

A. pen, $0.75; pencil, $0.50.

step-by-step explanation: .75x4=$3.00. .50x4=$2.00 . $3.00+$2.00=$5.00

8 0

2 years ago

Read 2 more answers

If three bags of birdseed cost $14.66 how much will 14 bags cost

GREYUIT [131]

14.66/3 = 4.88666666667 = base amount
4.88666666667 * 14 = 68.4133333333 = $68.41

3 0

3 years ago