Answer:
70 yd.
Step-by-step explanation:
The three streets at the intersection form a right triangle.
For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:
where
x is the length of the 1st side
y is the length of the 2nd side
h is the length of the hypothenuse
Here we want to find the hypothenuse.
We have:
x = 42 yd (length of the 1st side)
y = 56 yd (length of the 2nd side)
Substituting, we find h:
Answer:
C: Both saving and investing
Step-by-step explanation:
You need to save money in order to have money to invest
The difference of five and negative 7.
<span><span>
1.
</span>Which becomes 5 – (-1) = 6. Such that 5 + 1 = 6.</span>
The total number of fruits available.
Three hundred apples
minus thirty oranges.
<span><span>1.
</span>300 – 30 = 270 fruits</span>
The room temperature of thirty degrees Celsius has risen to
fourty-five degrees Celsius. What is the difference of the final and initial temperatures?
<span><span>
1.
</span>45 – 30 = 15</span>
When the ball rose with an acceleration of 2 m/s2 what is
the difference between the ball’s acceleration and the gravitational force that
acted on it?
<span><span>
1.
</span>-10 - 2 = -12 </span>
The per store donated 11 and 3/8 pounds of cat food... first you gotta make the denominators equal so 19 and 3/4 becomes 19 and 6/8 then you add the puppy and dog food together (19 6/8 +18 7/8= 38 5/8) then you take 50 and subtract the value you just got (50 - 38 5/8) and you get tour answer at 11 and 3/8 pounds
Answer:
Step-by-step explanation:
The coefficients of the quadratic x^2 + 7x + 3 are a = 1, b = 7 and c = 3.
The discriminant is b^2 - 4ac, or 49 - 4(1)(3), or 49-12, or 37.
Because the discriminant is positive, we know that this quadratic equation has two real, different solutions.
-7 ± √37
x = --------------- => x = (-7 + √37)/2 and x = (-7 - √37)/2
2
In words: This quadratic equation has two real, unequal solutions involving the radicand 37.
