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3 years ago

-4 + (-1) on a number line

Mathematics

2 answers:

satela [25.4K]3 years ago

6 0

Answer:

-5

Step-by-step explanation:

Note- Since these are negative numbers, when you add, you will be farther to a positive number.

-4 + -1 = -5.

It is like adding, so your answer is -5. Hope this helps!

katrin2010 [14]3 years ago

5 0

Answer:

-5

Step-by-step explanation:

+-=-

-4-1=-5

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A rectangle is inscribed in a right isosceles triangle, such that two of its vertices lie on the hypotenuse, and two other on th

Rufina [12.5K]

Answer:

Part 1) The base is $25\ in$ and the height is $10\ in$

Part 2) The base is $7.5\ in$ and the height is $18.75\ in$

Step-by-step explanation:

case 1) Right isosceles triangle of the left

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

$y+x+y=45$

$2y+x=45$ ----> equation A

$\frac{x}{y} =\frac{5}{2}$

$x=2.5y$ -----> equation B

substitute equation B in the equation A

$2y+2.5y=45$

$4.5y=45$

$y=10\ in$

Find the value of x

$x=2.5(10)=25\ in$

case 2) Right isosceles triangle of the right

Let

x------> the base of the rectangle

y----> the height of the rectangle

Remember that

In a right isosceles triangle the lengths of the legs of the triangle is the same

$y+x+y=45$

$2y+x=45$ ----> equation A

$\frac{y}{x} =\frac{5}{2}$

$y=2.5x$ -----> equation B

substitute equation B in the equation A

$2(2.5x)+x=45$

$6x=45$

$x=7.5\ in$

Find the value of y

$y=2.5(7.5)=18.75\ in$

3 0

3 years ago

Simplify the expression below.<br> (8^2)^6<br><br> A.) 8^4<br> B.) 8^3<br> C.) 8^12<br> D.) 8^8

blagie [28]

Multiply exponents together if it is on another exponent
(8^2)^6= 8^12

6 0

3 years ago

Please help me with this math problem!! :)

GarryVolchara [31]

Step-by-step explanation:

the following things are clear : opposite sides are of equal length, the sum of all angles in a square, rectangle or general parallelogram is 360 degrees, and opposite angles are equal.

so,

y² + 7 = 32

y² = 25

y = 5

2y² = k

2×5² = k

50 = k

the opposite angle of 150 is also 150 degrees.

the opposite angle of x is also x.

so, we have as sum of angles

360 = 150 + 150 + x + x = 300 + 2x

60 = 2x

x = 30 degrees

4 0

3 years ago

Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select t

Anastaziya [24]

The equations which gave the same solution as; 2.3p – 10.1 = 6.5p – 4 – 0.01p are;

2.3p – 10.1 = 6.49p – 4 and
230p – 1010 = 650p – 400 – p

<h3>Which equations have the same solution as the given equation?</h3>

It follows from the answer choices that the equation; 2.3p – 10.1 = 6.49p – 4 is equivalent to the given equation as the algebraic sum of p variables is evaluated on the right hand side.

The second equation; 230p – 1010 = 650p – 400 – p also is equivalent to the given equation, when multiplied through by 100.