Answer:
3
Step-by-step explanation:
Any number and variable combined is a term.
So 8 (#1 - Constant), + 19y (#2 -Coefficient + Variable), - 4z (#3 -Coefficient + Variable)
3 terms - B
Answer:
1.2 cm
Step-by-step explanation:
Quadrilateral circumscribing a circle is a quadrangle whose sides are tangent to a circle inside it (see attached diagram).
The area of circumscribed quadrilateral is
![A=p\cdot r,](https://tex.z-dn.net/?f=A%3Dp%5Ccdot%20r%2C)
where
is semi-perimeter and r is radius of inscribed circle.
In your case, ![A=12\ cm^2](https://tex.z-dn.net/?f=A%3D12%5C%20cm%5E2)
If a quadrilateral is circumscribed over the circle, then the sum of opposite sides is equal, so
![a+c=b+d=10\ cm,](https://tex.z-dn.net/?f=a%2Bc%3Db%2Bd%3D10%5C%20cm%2C)
so
![P=10+10=20\ cm\\ \\p=\dfrac{20}{2}=10\ cm](https://tex.z-dn.net/?f=P%3D10%2B10%3D20%5C%20cm%5C%5C%20%5C%5Cp%3D%5Cdfrac%7B20%7D%7B2%7D%3D10%5C%20cm)
Now
![12=10\cdot r\Rightarrow r=\dfrac{12}{10}=1.2\ cm](https://tex.z-dn.net/?f=12%3D10%5Ccdot%20r%5CRightarrow%20r%3D%5Cdfrac%7B12%7D%7B10%7D%3D1.2%5C%20cm)
Answer:
The next two numbers are -7500 and 37500
Step-by-step explanation:
To find the pattern, divide any number by the previous.
-300/60 = -5.
Meaning they are being multiplied by -5, so we can just multiply this to the last number.
1500 * -5 = -7500,
-7500 * -5 = 37500.
If her hourly rate stays the same, how many hours would she have<span> to work to earn $217 next week? ... She wants to enlarge the </span>photograph<span> so that its </span>width<span> is 10 in. ... Cross-Multiply: (4)(x)=(6)(10); Simplify: 4x=60; Divide both sides by 4 to find the height of the </span>new photograph<span>: \frac{4x}{4}=\frac{60}{4. Answer: 15 </span>inches<span> .</span>
Answer:
I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.
Step-by-step explanation:
We are given the points (-2, -4) and (-1, -1)
We need to find the slope.
The equation to do so is y2 - y1 / x2 - x1
lest say:
-2 is x1
-4 is y1
-1 is x2
-1 is y2
-1 - (-4) / -1 - (-2)
3/1 = 3
slope (m) = 3
We already know the y-intercept is 2
The equation of a line is y = mx + b
For this problem we just have to substitute what we already know.
y = (slope)x + y-intercept
y = 3x + 2
*TIP*
If the y-intercept is negative, let's say: b = -5 (using slope 8)
the equation will be y = 8x - 5
Hope this helps. I wish you all the best. :)