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3 years ago

What is the solution to the system of equations? O (-4,1) O (-2, 1) O (1.4) O (1,-2)

Mathematics

1 answer:

Tcecarenko [31]3 years ago

3 0

Answer:

$(1,-2)$

Step-by-step explanation:

Given

The attached graph

Required

Determine the solution

The solution here is the intersection points of the two lines. From the attachment, both lines meet

$x = 1$

$y = -2$

Hence, the solution is: $(1,-2)$

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1. Bob tried to answer the following question by finding the missing angle and rounding the answer to the nearest degree.

iren2701 [21]

Answer:

Part 1)

Bob's mistake was to have used the cosine instead of the sine

The measure of the missing angle is $53.13\°$

Part 2) The surface area of the pyramid is $288\ cm^{2}$

Step-by-step explanation:

Part 1)

Let

x----> the missing angle

we know that

In the right triangle o the figure

The sine of angle x is equal to divide the opposite side angle x to the hypotenuse of the right triangle

$sin(x)=\frac{16}{20}$

$x=arcsin(\frac{16}{20})=53.13\°$

Bob's mistake was to have used the cosine instead of the sine

Part 2) we know that

The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces

$SA=b^{2}+4[\frac{1}{2}(b)(h)]$

where

b is the length side of the square

h is the height of the triangular lateral face

In this problem

$h=b/2$ -------> by an 45° angle

$b=2h$

$sin(45\°)=\frac{h}{6\sqrt{2}}$

$h=6\sqrt{2}(sin(45\°))=6\ cm$

Find the value of b

$b=2(6)=12\ cm$

Find the surface area

$SA=12^{2}+4[\frac{1}{2}(12)(6)]=288\ cm^{2}$

3 0

3 years ago

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

alexdok [17]

The answer is c.) 64

6 0

3 years ago

Read 2 more answers

Pretty please can you help with problem 7. (ONLY IF YOU KNOW)

Vika [28.1K]

1 yard = 3 foot. 1 Foot = 12 inches.
She has 2 yards, 3 inches which = 6 foot 3 inches.
She needs 5 foot 9 inches.

She has more than enough, and to work out how much she has left -
3 inches - 9 inches = -6 inches. -0.5 foot.
6 foot - 5 foot = 1 foot.
1 foot - 0.5 foot. = 0.5 foot. She has 0.5 foot left over

6 0

2 years ago

Read 2 more answers

Help asap! Thanks in advance! There's two questions btw:)

lutik1710 [3]

Answer:

[1].

Option A and D are correct.

[2].

Option A is correct

Step-by-step explanation:

[1].

Quadratic function states that it is an equation of second degree i.,e it contains at least one term that is squared.

The standard form of the quadratic equation is; $ax^2+bx+c = 0$

$y(y+4)-y = 6$

Using distributive property: $a\cdot (b+c) = a\cdot b + a\cdot c$

$y^2+4y-y=6$

Combine like terms;

$y^2+3y = 6$

$y^2+3y -6=0$ which represents a quadratic equation.

$3a-7 = 2(7a-3)$

$3a-7 = 14a-6$

$11a+1 = 0$ which is not a quadratic equation.

(3x+2)+(6x-1) = 0

Combine like terms;

9x +1 = 0 which is not a quadratic equation.

4b(b) = 0

$4b^2 = 0$ which represents the quadratic equation.

[2].

Given the parent function: $y=x^2$

The reflection rule over x axis is given by;

$(x, y) \rightarrow (x, -y)$

then

the function become: $y = -x^2$

Vertical shift:

If c is a positive real number, the graph y=f(x)+c is the graph of y =f(x) shifted upward c units.

If c is a positive real number, the graph y=f(x)-c is the graph of y =f(x) shifted downward c units.

then;

The graph $y=-x^2-3$ is the graph of $y=-x^2$ shifted 3 units down.

Therefore, the translation of the graph of $y=x^2$ to obtain $y=-x^2-3$ is, reflect over the x-axis and shift down 3

6 0

3 years ago

Best explained and correct answer gets brainliest!

Hunter-Best [27]

Given two points: A(x₁,y₁) and B(x₂,y₂), the slope of the line that passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)

If we take two points of this line (3,0) and (3,1) and calculate the slope, we have:
m=(1-0)(0/0)=1/0 (any number divided by zero gives an indetermined value).

Therfore the slope is undefined.

Answer: D The slope is undefined.

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3 years ago