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Oksi-84 [34.3K]
3 years ago
6

If QRST below is a rectangle, find x if angle S is equal to 7x + 55.

Mathematics
1 answer:
bazaltina [42]3 years ago
3 0
Because QRST is a rectangle, that means all of the angles must be a right angle, which are 90 degrees. Using this information, solve the expression by creating an equation that lets angle S = 90.

90 = 7x + 55
35 = 7x
x = 5
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Red and grey bricks were used to build a decorative wall. The number of red bricks and grey bricks was 5/2. There were 140 brick
ozzi

Answer:

100 red bricks

Step-by-step explanation:

Let's say red bricks is equal to 5x

Gray bricks is equal to 2x

We have an equation

2x + 5x = 140

= 7x = 140

Divide through by 7 to get the value of x

X = 140/7

X = 20

Red bricks = 5(x)

= 5(20)

= 100

Gray bricks = 2(x)

= 2(20)

= 40

Therefore in conclusion the number of red bricks is 100.

5 0
2 years ago
Help me please i don't know what to do
astra-53 [7]

Answer:

a. a = 1, b = -5, c = -14

b. a = 1, b = -6, c = 9

c. a = -1, b = -1, c = -3

d. a = 1, b = 0, c = -1

e. a = 1, b = 0, c = -3

Step-by-step explanation:

a. x-ints at 7 and -2

this means that our quadratic equation must factor to:

(x-7)(x+2) = 0

FOIL:

x^2 + 2x - 7x - 14 = 0

Simplify:

x^2 - 5x - 14 = 0

a = 1, b = -5, c = -14

b. one x-int at 3

this means that the equation will factor to:

(x-3)^2=0

FOIL:

x^2 - 3x - 3x +9 = 0

Simplify:

x^2 - 6x + 9 = 0

a = 1, b = -6, c = 9

c. no x-int and negative y must be less than 0

This means that our vertex must be below the x-axis and our parabola must point down

There are many equations for this, but one could be:

-x^2-x-3=0

a = -1, b = -1, c = -3

d. one positive x-int, one negative x-int

We can use any x-intercepts, so let's just use -1 and 1

The equation will factor to:

(x+1)(x-1)=0

This is a perfect square

FOIL:

x^2-1=0

a = 1, b = 0, c = -1

e. x-int at \sqrt{3} , -\sqrt{3}

our equation will factor to:

(x+\sqrt{3} )(x-\sqrt{3)} =0

This is also a perfect square

FOIL and you will get:

x^2 - 3 = 0

a = 1, b = 0, c = -3

4 0
2 years ago
What is the resulting equation when the expression for y in the second equation is substituted into the first equation?
Anni [7]

Answer: 3x + 6 -4x = 1

Simplify to -x + 6 = 1 because 3x - 4x = -1x

5 0
3 years ago
The points plotted below satisfy a polynomial equation. What type of extreme value does the graph have in the part that is visib
bezimeni [28]
Hi!

The graph shows an A) Maximum

A Maximum value appears in a graph when all other values of the polynomial are smaller in value i.e. are under it in an X-Y plot. This is expressed mathematically as:

There is a maximum if for a given x*: f(x*) ≥ f(x) for all x. 

In the graph, you can clearly see that there is a value that is higher than all the others, so this value is a Maximum. 
3 0
3 years ago
 multiplying polynomials <br>find the product<br>(5n+6)(5n-5)
Viktor [21]
(5n+6)(5n-5) =5n\cdot 5n -5n\cdot 5+6\cdot 5n-6\cdot 5=\\ \\=25n^2-25n+30n-30 =25n^2+5n-30


3 0
3 years ago
Read 2 more answers
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