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svlad2 [7]
3 years ago
13

1.(8x+3)(4x-5) 2.(10x-2)(3x+6) please show your work will mark brainliest

Mathematics
1 answer:
ANEK [815]3 years ago
8 0

Answer:

1)

32x^2 - 28x - 15

2)

30x^2 + 54x - 12

Step-by-step explanation:

1.

(8x+3)(4x-5)

Using FOIL

= (8x)(4x) + (8x)(-5) + (3)(4x) + (3)(-5)

= 32x^2 - 40x + 12x - 15

= 32x^2 - 28x - 15

2.

(10x-2)(3x+6)

Using FOIL

= (10x)(3x) + (10x)(6) + (-2)(3x) + (-2)(6)

= 30x^2 + 60x - 6x - 12

= 30x^2 + 54x - 12

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Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
tigry1 [53]

Answer:

M(x,y) = (1,3) belongs to the line y = 2\cdot x +1. Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

y=k\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

k - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that b = 1, x = 1 and y = 3, then we clear slope and solve the resulting expression:

k = \frac{y-b}{x}

k = \frac{3-1}{1}

k = 2

Then, we conclude that point M(x,y) = (1,3) belongs to the line y = 2\cdot x +1, whose graph is presented below.

3 0
3 years ago
Please help me with the questions
Grace [21]

Answer:

x = 5

x = 2

Step-by-step explanation:

2(2x + 4) = 8x - 12

2x + 4 = 4x - 6

x + 2 = 2x - 3

x = 5

Question 17

8/4 = (x + 2)/(2x - 2)

2(2x - 2) = x + 2

4x - 4 = x + 2

3x = 6

x = 2

4 0
2 years ago
What is the value of f?<br><br> −18f−34−14f=11
Brrunno [24]
-18f - 34 - 14f = 11
-32f - 34 = 11
-32f = 45
f = -32/45
Simplify the fraction if needed!
Hope this helps, and please mark brainliest!

6 0
3 years ago
Find the area of the shaded region .
Greeley [361]

Calculate area of the white region inside circle.

Area of the two white triangles in top left and bottom right:

2 \cdot \frac{1}{2}(6)(6) = 36 ft^2

Area of the two white quarter circles in the bottom left and top right:

2 \cdot \frac{1}{4}\pi (6)^2 = 18\pi ft^2

Total area of unshaded white region inside circle:

(36 + 18\pi)ft^2

Area of entire circle including the white and shaded regions

\pi(6)^2 = 36\pi ft^2

Area of shaded region is area of entire circle - area of unshaded white region

36\pi - (36 + 18\pi) = (18\pi - 36) ft^2

7 0
3 years ago
a pet survey found that the ratio of dogs to cats is 2.5.which proportion shows the number of dogs if the number of cats is 140?
Zinaida [17]
140*2.5= 350, so the proportion is 350/140
3 0
3 years ago
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