Answer:
The hypotenuse to the nearest tenth is 8.1
Step-by-step explanation:
We can use the Pythagorean theorem to solve
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
Let a be the x leg and b be the y leg
a = 7 units
b= 4 units
7^2 + 4^2 = c^2
49+ 16 = c^2
65 = c^2
Take the square root of each side
sqrt(65) = sqrt(c^2)
8.062257748 =c
To the nearest tenth
8.1 =c
When you roll two numbers you have four kinds of outcomes: EE, EO, OE, OO (where E = even, O = odd).
You get an even sum only if you sum two numbers that are both even or both odd, therefore the outcomes wanted are two: EE and OO.
Therefore:
P(sum is even) = 2 / 4 = 0.5
Hence, there is a 50% probability that, when you roll two numbers, their sum will be even.
Answer:1.7 its positive
Step-by-step explanation: 0,15 . 16,-12
y1-y2/x1-x2
15-(-12)= 27
0-16= 16
27/16 = 1.7
Answer:
(3, 15) and (4, 12)
Step-by-step explanation:
x2 - 7x+12 = 0 factors to (x - 4)(x - 3) = 0, and so x: {3, 4}.
Since y= -3x + 24, y = 15 when x = 3 and y = 12 when x = 4. The solutions are thus (3, 15) and (4, 12). This is the third answer choice.
Answer:
<em><u>z = -3</u></em>
Step-by-step explanation:
<u>Step 1: Simplify both sides of the equation.
</u>
z+7=−z+1
<u>Step 2: Add z to both sides.
</u>
z+7+z=−z+1+z
2z+7=1
<u>Step 3: Subtract 7 from both sides.
</u>
2z+7−7=1−7
2z=−6
<u>Step 4: Divide both sides by 2.
</u>
<u>2z</u> = <u>−6
</u>
2 2
z=−3
