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Eduardwww [97]
3 years ago
8

. If UZ = x + 21 and ZS = 3x – 15, find US.

Mathematics
2 answers:
nignag [31]3 years ago
5 0

Answer:

US =  4x + 6.

Step-by-step explanation:

If U, Z  and S are all on the same straight line then US = UZ + ZS, so the answer is x + 21 + 3x - 15

= x + 3x + 21 - 15

= 4x + 6.

pickupchik [31]3 years ago
4 0

Answer:

US = 4x + 6

Step-by-step explanation:

if Z is between U and S then

US = UZ+ZS

US = x + 21 + 3x - 15

     = 4x+6

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Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)
IceJOKER [234]

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

\displaystyle y = -x^2 + 2x + 1

Recall that the vertex is given by the formulas:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

In this case, <em>a</em> = -1, <em>b</em> = 2, and <em>c</em> = 1.

Determine the <em>x-</em>coordinate of the vertex:

\displaystyle x = -\frac{(2)}{2(-1)} = 1

To determine the <em>y-</em>coordinate, evaluate the function at <em>x</em> = 1:

\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

3 0
3 years ago
How many grams are in 844 mg
charle [14.2K]
The answer is 0.844 g
6 0
3 years ago
Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. which equation represents the relationship between t
timama [110]

Answer:

angle 1+angle 2 = 180 degrees

Step-by-step explanation:

when 2 angles are supplementary, they equal 180 degrees when they are added up. Because angles 1 and 2 are supplementary, this means that angle 1 + angle 2 equals 180 degrees.

6 0
2 years ago
The sum of the measures of angles xand y is 120°. The measure of the angle x is 12 less than the measure of the angle y. Find x
Troyanec [42]

Answer:
x = 54°
y = 66°

Step-by-step explanation:

x + y = 120° (given)
x = y - 12
Then, y + y - 12 = 120°
(y + y) - 12 = 120°
2y - 12 = 120°
2y = 120 + 12 = 132°
y = 132/2 = 66°
x = y - 12 = 66 - 12 = 54°
There you go :)

5 0
2 years ago
I NEED HELP AS ASAP 4 THE FIRST AND SECOND ONE<br> !!!!
irga5000 [103]
Explaination: when graphing a relation, the set of second elements will be the y-values of the graph.
Range: [-4,-3,-2,0,3,5]
8 0
3 years ago
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