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leva [86]
3 years ago
6

Hey can you please help me posted picture of question :)

Mathematics
2 answers:
scoray [572]3 years ago
3 0
X^2-7x+38=5x+3
x^2-7x+38-5x-3=5x+3-5x-3
x^2-12x+35=0
Factoring:
(x-5)(x-7)=0
Two solutions:
x-5=0→x-5+5=0+5→x=5
x-7=0→x-7+7=0+7→x=7
Answer: x=5 and x=7

Answer: Options B. 7  and D. 5
seropon [69]3 years ago
3 0
Answer:
The solutions are: 5 and 7

Explanation:
First we would need to put the equation in the standard form which is:
ax² + bx + c = 0
This can be done as follows:
x² - 7x + 38 = 5x + 3
x² - 7x + 38 - 5x - 3 = 0
x² - 12x + 35 = 0
By comparison:
a = 1
b = -12
c = 35


Now, to get the roots, we would need to use the quadratic formula attached in the images.
By substitution, we would find that:\
either x = \frac{12+ \sqrt{(-12)^2-4(1)(35)} }{2(1)} = 7

or x = \frac{12- \sqrt{(-12)^2-4(1)(35)} }{2(1)} = 5

Hope this helps :)

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Find the answers to the following:
Mama L [17]

Answer:

A) y=mx+b

B) The slope of a line is a number that describes both the direction and the steepness of the line. The slope of the line is either increasing, decreasing, horizontal or vertical.

C) m= rise/run =y2-y1/x2-x1

D) A rate of change describes how one quanity changes with respect to the other. The rate of Change for a line is the slope, the rise over run, or the change in y over the change in x.

E)The y-intercept of the line is the value of y where the line crosses the y-axis.

F)The x-intercept of the line is the value of x where the line crosses the x-axis.

G) The point-slope formula is y-y1=m(x-x1)

H)HOY stands for Horizontal line, slope =0, their equations are in the form y= a constant

I)VUX stands for Vertical line, slope =Undefined, their equations are in the form x= a constant

J)If two lines are parallel, this means that the slopes are the same and the y-intercept are different.

K) The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees

L) The similarities between parallel lines are they have the same steepness, or same angle from the horizontal. Since they have the same steepness they have the same slope.

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8 0
3 years ago
A rectangular field is two times as long as it is wide. If the perimeter of the field is 450 feet, what are the dimensions of th
lys-0071 [83]

Hi There,

----------------------------------------

We Know:

Total Perimeter = 450 feet

Length is 2 times the width.

----------------------------------------

Solution:

Length = 150

Width = 75

75 x 2 = 150

150 + 150 + 75 + 75 = 450

----------------------------------------

Answer:

Length = 150 feet.

Width = 75 feet.

----------------------------------------

Hope This Helps :)

5 0
3 years ago
Circle D circumscribes ABC and ABE. Which statements about the triangles are true? Statement I: The perpendicular bisectors of A
mestny [16]

Answer:

The correct option is;

B. I and II

Step-by-step explanation:

Statement I: The perpendicular bisectors of ABC intersect at the same point as those of ABE

The above statement is correct because given that ΔABC and ΔABE are inscribed in the circle with center D, their sides are equivalent or similar to tangent lines shifted closer to the circle center such that the perpendicular bisectors of the sides of ΔABC and ΔABE are on the same path as a line joining tangents to the center pf the circle

Which the indicates that the perpendicular the bisectors of the sides of ΔABC and ΔABE will pass through the same point which is the circle center D

Statement II: The distance from C to D is the same as the distance from D to E

The above statement is correct because, D is the center of the circumscribing circle and D and E are points on the circumference such that distance C to D and D to E are both equal to the radial length

Therefore;

The distance from C to D = The distance from D to E = The length of the radius of the circle with center D

Statement III: Bisects CDE

The above statement may be requiring more information

Statement IV The angle bisectors of ABC intersect at the same point as those of ABE

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6 0
3 years ago
Read 2 more answers
Tan^2 0+Tan^2 30+Tan^2 60+Sin^2 0​
Ksenya-84 [330]

Answer:

2.996519411885697

Step-by-step explanation:

\tan(20)  +  \tan(230)  +  \tan(260)  +  \sin(20)  = 2.996519411885697

mark me brainliest

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2 years ago
How do you make −6x+5y=9 into the slope-intercept form?
SVEN [57.7K]

Answer:

y=6/5y-9/5

Step-by-step explanation:

5y=6x-9

y=6/5y-9/5

6 0
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