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Lena [83]
4 years ago
10

Can you help me please?

Mathematics
1 answer:
skad [1K]4 years ago
5 0

Answer:

U= 53-degrees because of the definition of a straight angle

V=74-degrees

Step-by-step explanation:

You might be interested in
what is the area of a parallelogram if the coordinates of its vertices are (0,-2) (3,2) (8,2) and (5,-2)?
amm1812

A common strategy when finding the area of a polygon while you're only given the coordinates is to employ the shoelace formula. To start, we have to order the coordinates either clockwise or counterclockwise ( see attatched for a drawing). So, now we can order the coordinates counterclockwise, adding the first entry again at the end (see second attatchment) Now we can use shoelace. When going left to right, we'll multiply the numbers and they will be positive, and we'll make those numbers negative. ( see third attatchment). After we add them up and subtract when necessary, we'll divide the whole thing by 2. Here's the math:

\frac{(0*-2+5*2+8*2+3*-2)-(0*2+2*3+8*-2+5*-2)}{2}=20

4 0
3 years ago
Find an equation in standard form of the parabola passing through these points: (0,-6),(-1,-12),(3,0)
Elan Coil [88]
One form of the equation of a parabola is
y = ax² + bx + c

The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6                       (1)
a - b + c = -12            (2)
9a + 3b + c = 0         (3)

Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6                  (4)
9a + 3b - 6 = 0
9a + 3b = 6              (5)

Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1

The equation is
y = -x² + 5x - 6 

Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
   = -[ (x - 2.5)² - 2.5²] - 6
   = -(x - 2.5)² + 6.25 - 6

y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.

Answer: y = -(x - 2.5)² + 0.25

3 0
4 years ago
What is the equation of the line that passes through (-5, 0) and (4, 3)?
kotegsom [21]

Answer:

y = 1/3x + 5/3

Step-by-step explanation:

An equation contains a slope and y-intercept, in the form y = mx + b. To find the slope or m, you need to plug the coordinates into the slope formula.

y2 - y1/ x2 - 1

3 - 0/ 4 - (-5)

= 3 / 9

= 1/3

Now that we know the slope, we need to plug the values of x and y to find the y-intercept.

y = 1/3x + b

3 = 1/3(4) + b

3 = 4/3 + b

5/3 = b

The equation is y = 1/3x + 5/3

3 0
3 years ago
24. Seven tenths of a number plus 14 is less than forty-nine.<br>​
andriy [413]

Answer:

50. ☺️☺️

Step-by-step explanation:

I'm going to assume you need this inequality solved.

First, write it as numbers, not words.

7/10n + 14 < 49

where "n" is the unknown number.

Second, if I were you, I'd change that fraction into a decimal, as it'll make life easier later on.

7/10 = 0.7

Now, solve it like you would any other equation.

0.7n + 14 < 49

0.7n +14 - 14 < 49 - 14

0.7n < 35

0.7n ÷ 0.7 < 35 ÷ 0.7

n < 50

The answer is n < 50

7 0
3 years ago
Read 2 more answers
3. Determine the number of solutions of each system of equations.
zubka84 [21]
Infinitely many solutions

The system shows the same equation, so x and y could be anything
6 0
4 years ago
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