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3 years ago

What is the value of x in the figure below?

Mathematics

2 answers:

balu736 [363]3 years ago

6 0

Answer:

Step-by-step explanation:

Ann [662]3 years ago

5 0

Answer:14

Step-by-step explanation:

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For what value of “a”are the graphs of 5y = -2x + 10 and 3y = aX- 15 parallel

Pie

Answer:

a = -6/5

Step-by-step explanation:

For the graphs to be parallel the graphs should have same slope(m)

So we rewrite both our equations in the slope-intercept form then compare the slope to find the value of a like this,

$y=mx+b$

This equation is the slope-intercept form we convert both our equations in this form firstly taking equation 1

$5y=-2x+10\\\\y=\frac{-2x+10}{5} \\\\y=\frac{-2}{5}x+\frac{10}{5} \\\\y=\frac{-2}{5}x+2$

so if we compare it with y = mx + b the coefficient of x is m and hence

m= -2/5 now solving for equation 2

$3y=ax-15\\\\y=\frac{ax-15}{3} \\\\y=\frac{ax}{3}-\frac{15}{3} \\\\y=\frac{a}{3}x-5\\\\$

so here if we compare it with y = mx + b the coeffienct of x is a/3 so since parallel lines have same slope by the formula:

$m_1=m_2$

we equation both the slope to each other to find the value of a like this,

$m_1=m_2\\\\\frac{-2}{5}=\frac{a}{3}\\\\-2(3)=a(5)\\\\-6=5a\\-6/5=a$

so the value of a equals

a= -6/5

8 0

3 years ago

An isosceles triangle has a base of 4 and a height of x+3. If the area is 10, what is the value of x?

kicyunya [14]

The area of a <span>isosceles triangle:
S=(bh)/2, where b is for base (=4) and h is for height (=x+3)
We get the equation:
10=(4*(x+3))/2
10=(4x+12)/2
4x+12=20
4x=8
x=2
</span>

5 0

3 years ago

Question Help James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall.

BARSIC [14]

What I did was I subtracted 4500 minus 500 because it was a fee then I divide 4400 by 35 and I got 125 people.

3 0

3 years ago

Read 2 more answers

In a cave, a stalactite gets 44 millimeters longer each year. this year it is 72 centimeters long. how many years until it is 1

iragen [17]

Answer:

6.36 years (the .36 repeats), so rounded is 6.4.

Step-by-step explanation:

First, I'm going to convert all measurements to meters.

Since 1000 mm = 1 m, divide 44 by 1000.

44/1000 = 0.044 m

Since 100 cm = 1 m, divide 72 by 100.

72/100 = 0.72 m

Next, I'm going to setup an equation using y = mx + b.

b is the beginning amount which is 0.72.

m in the equation represents the rate which is 0.044.

y represents the total which is 1.

Plugin the numbers and solve for x.

1 = 0.044x + 0.72

1 - 0.72 = 0.044x + 0.72 - 0.72

0.28 = 0.044x

0.28/0.044 = 0.044x/0.044

6.36 = x

7 0

2 years ago

Glenn rode his bike for 2 hours

Natali5045456 [20]

Cool. I rode mine for 1.

5 0

3 years ago

Read 2 more answers