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3 years ago

Write a related subtraction fact for 7+3=10

Mathematics

2 answers:

viva [34]3 years ago

5 0

Fact Family

3+7 = 10
10-7 = 3
10-3 = 7

saveliy_v [14]3 years ago

4 0

family fact:

7+3 =10

3+7 = 10

10-3 =7

10-7 = 3

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Write an equation that is parallel to y = 3x and passes through (-4 , -3)

Anit [1.1K]

The slopes of two parallel lines must be identical.

We have slope $m=3$ , so the slope for the parallel line be the same.

Now, to find an equation that also passes through the given point, we use slope-point form, $y-y_1=m(x-x_1)$ , where our point $(-4,-3)$ is substituted for $(x_1,y_1)$ .

$y+3=3(x+4)$

Now, we convert to slope-intercept form as such.

$y=3x+12-3\\y=3x+9$

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3 years ago

An angle bisector of a triangle divides the opposite side of the triangle into segments 6 cm and 5 cm long. A second side of the

sveticcg [70]

Based in the information given in the problem, you must apply the The Angle Bisector Theorem. Let's call the triangle: "ABC"; the internal bisector of the angle that divides its opposite side: "AP"; and "x": the longest and shortest possible lengths of the third side of the triangle.

If BP= 6 cm and CP= 5 cm, we have:

BP/CP = AB/AC

We don't know if second side of the triangle (6.9 centimeters long) is AB or AC, so:

1. If AB = 6.9 cm and AC = x:
6/5 = 6.9/x
x = (5x6.9)/6
x = 5.80 cm

2. If AC= 6.9 cm and AB= x:
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x = 8.30 cm

Then, the answer is:
The longest possible length of the third side of the triangle is 8.30 cm and the and shortest length of it is 5.80 cm.

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2 years ago

The sum of one-fifth of a number and two is five

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

Let us first write an equation where the unknown number is represented with variable x. The sum of a fifth of x and two is five:

$\frac{1}{5} x+2=5$

Great! Let's solve for x by isolating the variable.

$\frac{1}{5}x=3\\x=15$

Therefore, the unknown number is 15.

I hope this helps! Let me know if you have any questions :)

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3 years ago