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galina1969 [7]
2 years ago
10

Work out root2^4+3^2 Work out root 10^2-2^6

Mathematics
1 answer:
iren2701 [21]2 years ago
6 0

Answer:

A, B

Step-by-step explanation:

√(2^4+3^2)

√(16+9)

√25

5(Option A)

√(10^2-2^5)

√(100-64)

√36

6(Option B)

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Line MN passes through points M(4, 3) and N(7, 12). If the equation of the line is written in slope-intercept form, y = mx + b,
seropon [69]

Answer:

-9

Step-by-step explanation:

What b represents here is the y intercept.

The first thing we will do here is to find the slope.

Mathematically;

m = (y2-y1)/(x2-x1)

Plugging the values;

m = (12-3)/(7-4) = 9/3 = 3

The equation can thus be written as;

y = 3x + b

To get b, we can use any of the points since they lie on the line

Let’s use point M

Substitute the values of x and y in the equation

3 = 3(4) + b

3 = 12 + b

b = 3-12 = -9

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3 years ago
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Write a subtraction problem involving two positive integers with a negative difference. Explain the relationship between the two
Nadusha1986 [10]

Answer:

When both integers have the same value, the difference is zero. The difference between a positive and a negative integer can be positive or negative. When you subtract a negative integer from a positive integer, the difference is always positive this might help

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3 years ago
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Rewrite the slope-intercept form equation into standard form.<br> y = 5/2
Dahasolnce [82]
2y = 5 hope this helps :)
4 0
3 years ago
Please help I’ll mark you as branlst
wariber [46]

Answer:

6

Step-by-step explanation:

Since the degree of the angle is 45, we know that the triangle is isosceles. That means that the sides of the triangle, not including the hypotenuse, has a length of 3√2.

Using the Pythagorean theorem, which is a^2 + b^2 = c^2, we have (3√2)^2 + (3√2)^2 = c^2.

Note: c is the hypotenuse of the triangle.

18 + 18 = c^2

= 36 = c^2

Therefore, c = 6.

3 0
3 years ago
1. In triangle XYZ, A is the midpoint of XY, B is the midpoint of YZ, and C is the midpoint of XZ. Also, AY = 7, BZ = 8, and XZ
Varvara68 [4.7K]

Answer:

Part 1) The perimeter of triangle ABC is 24 units

Part 2) y=97\°

Step-by-step explanation:

Part 1) we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

see the attached figure to better understand the problem

so

Applying the midpoint theorem

step 1

Find the value of BC

BC=\frac{1}{2}XY

XY=2AY ---> because A is the midpoint

substitute the given value of AY

XY=2(7)=14\ units

BC=\frac{1}{2}(14)=7\ units

step 2

Find the value of AC

AC=\frac{1}{2}YZ

YZ=2BZ ---> because B is the midpoint

substitute the given value of BZ

YZ=2(8)=16\ units

AC=\frac{1}{2}(16)=8\ units

step 3

Find the value of AB

AB=\frac{1}{2}XZ

substitute the given value of XZ

AB=\frac{1}{2}(18)=9\ units

step 4

Find the perimeter of triangle ABC

P=AB+BC+AC

substitute

P=9+7+8=24\ units

Part 2) Find the measure of angle y

step 1

Find the measure of angle z

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

so

55\°+42\°+z=180\°

solve for z

97\°+z=180\°

z=180\°-97\°

z=83\°

step 2

Find the measure of angle y

we know that

z+y=180\° ----> by supplementary angles (form a linear pair)

we have

z=83\°

substitute

83\°+y=180\°

solve for y

y=180\°-83\°

y=97\°

6 0
3 years ago
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