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3 years ago

WILL GIVE BRIANIEST TO CORRECT ONLY

Mathematics

1 answer:

Neko [114]3 years ago

8 0

Answer:

a) 105

b) 75

c) 105

Step-by-step explanation:

a) supplementary angles. 180-75 is 105

b) 75. same as kings ave

c) supplementary angles. also vertical angles 180-75 is 105

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How do I find the vertex and the standard form? Plz explain

xenn [34]

Answer:

Vertex form

y = -4(x + 3)^2 + 10

Standard form;

y = -4x^2-24x - 26

Step-by-step explanation:

Mathematically, we have the vertex form as

y = a(x-h)^2 + k

(h,k) represents the vertex

We have h as -3 and k as 10

y = a(x+3)^2 + 10

To get a, we substitute any of the points

Let us use (-1,-6)

-6 = a(-1+3)^2 + 10

-6-10 = 4a

4a = -16

a = -16/4

a = -4

So we have the equation as;

y = -4(x+3)^2 + 10

For the standard form;

We expand the vertex form;

y = -4(x + 3)(x + 3) + 10

y = -4(x^2 + 6x + 9) + 10

y = -4x^2 - 24x -36 + 10

y = -4x^2 -24x -26

7 0

2 years ago

A bag contains 8 beads.

kolezko [41]

Answer:

5/8

Step-by-step explanation:

→ Work out how many red

8 - ( 2 + 1 + 2 ) = 3

→ Add up red and purple

3 + 2 = 5

→ Divide over total number of beads

5/8

3 0

6 months ago

What's 9 million in standard form

wariber [46]

The answer is 9,000,000

6 0

2 years ago

Read 2 more answers

← How many solutions does this linear system have y = x+2 6x - 4y = -10

defon

Answer:

This linear system has one solution.

Step-by-step explanation:

First equation: y = x + 2

Second equation: 6x - 4y = -10

Let's change the second equation in slope-intercept form y = mx + b.

Slope-intercept form

y = mx + b

m ... slope

b ... y-intercept

$6x - 4y = -10$

$6x + 10 = 4y$

$\frac{6}{4}x + \frac{10}{4} = y$

$\frac{3}{2}x + \frac{5}{2} = y$

If two lines have the same slope but different y-intercept, they are parallel - system has no solutions.

If two lines have the same slope and the same y-intercept, they are the same line and are intersecting in infinite many points - system has infinite many solutions.

If two lines have different slopes then they intersect in one point - system has one solution.

We see that lines have different slopes. First line has slope 1 and the other line has slope $\frac{3}{2}$ . So the system has one solution.

You can also check this by solving the system.

Substitute y in second equation with y from first.

6x - 4y = -10

6x - 4(x + 2) = -10

Solve for x.

6x - 4x - 8 = -10

2x = -2

x = -1

y = x + 2

y = -1 + 2

y = 1

The lines intersect in point (-1, 1). <-- one solution

8 0

1 year ago

What is the value of the shown expression? 33 x 3-2 A) -54 B) -243 C) 243 D) 3

alex41 [277]

We have the following general rule for exponents:

$a^n\cdot a^m=a^{n+m}$

then, in this case we have the following:

$3^3\cdot3^{-2}=3^{3+(-2)}=3^{3-2}=3^1=3$

therefore, the answer is 3

4 0

8 months ago